Greatest Common Factor of 8750/121, 7334/310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8750/121, 7334/310

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 8750/121,7334/310

Given fractions are 8750/121,7334/310

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 8750,7334

Greatest Common Factor of Numerators i.e. GCF of 8750,7334 is 2 .

LCM of Denominators means LCM of 121,310 as per the given fractions.

LCM of 121,310 is 37510 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8750,7334

GCF of Fractions 8750/121,7334/310 is 2/37510

2 8750, 7334
4375, 3667

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

Greatest Common Factor of 8750,7334 By Matching Biggest Common Factor Method

Greatest Common Factor of 8750,7334 By Matching Biggest Common Factor Method

Factors of 8750

List of positive integer factors of 8750 that divides 8750 without a remainder.

1,2,5,7,10,14,25,35,50,70,125,175,250,350,625,875,1250,1750,4375,8750

Factors of 7334

List of positive integer factors of 7334 that divides 7334 without a remainder.

1,2,19,38,193,386,3667,7334

Greatest Common Factor

We found the factors 8750,7334 . The biggest common factor number is the GCF number.
So the greatest common factor 8750,7334 is 2.

Lets's calculate LCM of 121,310

Given numbers has no common factors except 1. So, there LCM is their product i.e 37510

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/37510

Therefore, the GCF of Fractions 8750/121,7334/310 is 2/37510

Least Common Multiple of 121,310 with GCF Formula

Least Common Multiple of 121,310 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 121,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(121,310) = 1

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

GCF(121,310) x common factors =1 x 1 = 1

LCM(121,310) = ( 121 × 310 ) / 1

LCM(121,310) = 37510 / 1

LCM(121,310) = 37510


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 8750/121, 7334/310

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 8750/121, 7334/310?

Answer: GCF of Numerators as per given numbers 8750/121, 7334/310 is

GCF of Numerators i.e. for 8750,7334 is 2

LCM of denominators i.e. for 121,310 is 37510.

Thus, GCF of Fractions is 2/37510.Finally, GCF of Fractions for 8750/121, 7334/310 is 2/37510.