Find the largest number which divides 149 and 101 , leaving remainder of 5

The largest number which divides 149 and 101 , leaving remainder of 5 : 48

Further explanation

The division operation is one of the basic arithmetic operations

Common signs used are or

The division is written by placing the numerator above the denominator with a horizontal line between them or use a slash with the numerator's position and the denominator is parallel

The division is actually an iterative subtraction operation (as many as the number of divisors)

Division is the opposite of multiplying

The general form of division can be stated by:

example:

7: 3 = 2 + 1

Division operation statement:

"7 divided by 3 equals 2 remainder 1"

7 = dividend 3 = divisor 2 = quotient 1 = remainder

A number have many factors

A common factor is a factor of two / more numbers.

Greatest common factor (GCF or HCF = Highest Common Factor) is the largest of the common factors

The largest number which divides 149 and 101 leaving remainder of 5

Division operation:

149: x = y +5 101: x = z + 5

We find the value of x which is the GCF of the numbers 144 and 96

149 - 5 = 144

101 - 5 = 96

We look for GCF from factors of 144 and 96

144: 1, 2, 3, 4, 6, 8, 9, 16, 18, 24, 36, 48, 72, 144 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48 and 96

GCF of 144 and 96 is 48

Or we can use prime factors:

144: 2⁴ X 3²

96: 2⁵ X 3

GCF = 2⁴ X 3 = 48

Learn more

Highest common factor

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The GCF of any two even numbers

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Keywords : Greatest common factor , division, prime factors

20y5 times 2 is 1010 times -2 is -20, plus y

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