Greatest Common Factor of 9952/68, 6275/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9952/68, 6275/123

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 9952/68,6275/123

Given fractions are 9952/68,6275/123

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 9952,6275

Greatest Common Factor of Numerators i.e. GCF of 9952,6275 is 1 .

LCM of Denominators means LCM of 68,123 as per the given fractions.

LCM of 68,123 is 8364 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9952,6275

GCF of Fractions 9952/68,6275/123 is 1/8364

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 9952,6275 By Matching Biggest Common Factor Method

Greatest Common Factor of 9952,6275 By Matching Biggest Common Factor Method

Factors of 9952

List of positive integer factors of 9952 that divides 9952 without a remainder.

1,2,4,8,16,32,311,622,1244,2488,4976,9952

Factors of 6275

List of positive integer factors of 6275 that divides 6275 without a remainder.

1,5,25,251,1255,6275

Greatest Common Factor

We found the factors 9952,6275 . The biggest common factor number is the GCF number.
So the greatest common factor 9952,6275 is 1.

Lets's calculate LCM of 68,123

Given numbers has no common factors except 1. So, there LCM is their product i.e 8364

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8364

Therefore, the GCF of Fractions 9952/68,6275/123 is 1/8364

Least Common Multiple of 68,123 with GCF Formula

Least Common Multiple of 68,123 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 68,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,123) = 1

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

GCF(68,123) x common factors =1 x 1 = 1

LCM(68,123) = ( 68 × 123 ) / 1

LCM(68,123) = 8364 / 1

LCM(68,123) = 8364


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 9952/68, 6275/123

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 9952/68, 6275/123?

Answer: GCF of Numerators as per given numbers 9952/68, 6275/123 is

GCF of Numerators i.e. for 9952,6275 is 1

LCM of denominators i.e. for 68,123 is 8364.

Thus, GCF of Fractions is 1/8364.Finally, GCF of Fractions for 9952/68, 6275/123 is 1/8364.