Greatest Common Factor of 9648/25, 5566/252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9648/25, 5566/252

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 9648/25,5566/252

Given fractions are 9648/25,5566/252

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 9648,5566

Greatest Common Factor of Numerators i.e. GCF of 9648,5566 is 2 .

LCM of Denominators means LCM of 25,252 as per the given fractions.

LCM of 25,252 is 6300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9648,5566

GCF of Fractions 9648/25,5566/252 is 2/6300

2 9648, 5566
4824, 2783

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9648,5566 By Matching Biggest Common Factor Method

Greatest Common Factor of 9648,5566 By Matching Biggest Common Factor Method

Factors of 9648

List of positive integer factors of 9648 that divides 9648 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,67,72,134,144,201,268,402,536,603,804,1072,1206,1608,2412,3216,4824,9648

Factors of 5566

List of positive integer factors of 5566 that divides 5566 without a remainder.

1,2,11,22,23,46,121,242,253,506,2783,5566

Greatest Common Factor

We found the factors 9648,5566 . The biggest common factor number is the GCF number.
So the greatest common factor 9648,5566 is 2.

Lets's calculate LCM of 25,252

Given numbers has no common factors except 1. So, there LCM is their product i.e 6300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6300

Therefore, the GCF of Fractions 9648/25,5566/252 is 2/6300

Least Common Multiple of 25,252 with GCF Formula

Least Common Multiple of 25,252 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 25,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,252) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(25,252) x common factors =1 x 1 = 1

LCM(25,252) = ( 25 × 252 ) / 1

LCM(25,252) = 6300 / 1

LCM(25,252) = 6300


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 9648/25, 5566/252

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 9648/25, 5566/252?

Answer: GCF of Numerators as per given numbers 9648/25, 5566/252 is

GCF of Numerators i.e. for 9648,5566 is 2

LCM of denominators i.e. for 25,252 is 6300.

Thus, GCF of Fractions is 2/6300.Finally, GCF of Fractions for 9648/25, 5566/252 is 2/6300.