Greatest Common Factor of 938/745, 4900/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 938/745, 4900/870

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 938/745,4900/870

Given fractions are 938/745,4900/870

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 938,4900

Greatest Common Factor of Numerators i.e. GCF of 938,4900 is 14 .

LCM of Denominators means LCM of 745,870 as per the given fractions.

LCM of 745,870 is 129630 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 938,4900

GCF of Fractions 938/745,4900/870 is 14/129630

2 938, 4900
7 469, 2450
67, 350

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 938,4900 By Matching Biggest Common Factor Method

Greatest Common Factor of 938,4900 By Matching Biggest Common Factor Method

Factors of 938

List of positive integer factors of 938 that divides 938 without a remainder.

1,2,7,14,67,134,469,938

Factors of 4900

List of positive integer factors of 4900 that divides 4900 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,49,50,70,98,100,140,175,196,245,350,490,700,980,1225,2450,4900

Greatest Common Factor

We found the factors 938,4900 . The biggest common factor number is the GCF number.
So the greatest common factor 938,4900 is 14.

Lets's calculate LCM of 745,870

5 745, 870
149, 174

∴ So the LCM of the given numbers is 5 x 149 x 174 = 129630

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/129630

Therefore, the GCF of Fractions 938/745,4900/870 is 14/129630

Least Common Multiple of 745,870 with GCF Formula

Least Common Multiple of 745,870 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 745,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(745,870) = 5

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

GCF(745,870) x common factors =5 x 1 = 5

LCM(745,870) = ( 745 × 870 ) / 5

LCM(745,870) = 648150 / 5

LCM(745,870) = 129630


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 938/745, 4900/870

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 938/745, 4900/870?

Answer: GCF of Numerators as per given numbers 938/745, 4900/870 is

GCF of Numerators i.e. for 938,4900 is 14

LCM of denominators i.e. for 745,870 is 129630.

Thus, GCF of Fractions is 14/129630.Finally, GCF of Fractions for 938/745, 4900/870 is 14/129630.