Greatest Common Factor of 624/7738, 238/5194

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 624/7738, 238/5194

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 624/7738,238/5194

Given fractions are 624/7738,238/5194

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 624,238

Greatest Common Factor of Numerators i.e. GCF of 624,238 is 2 .

LCM of Denominators means LCM of 7738,5194 as per the given fractions.

LCM of 7738,5194 is 379162 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 624,238

GCF of Fractions 624/7738,238/5194 is 2/379162

2 624, 238
312, 119

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

Greatest Common Factor of 624,238 By Matching Biggest Common Factor Method

Greatest Common Factor of 624,238 By Matching Biggest Common Factor Method

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Greatest Common Factor

We found the factors 624,238 . The biggest common factor number is the GCF number.
So the greatest common factor 624,238 is 2.

Lets's calculate LCM of 7738,5194

2 7738, 5194
53 3869, 2597
73, 49

∴ So the LCM of the given numbers is 2 x 53 x 73 x 49 = 379162

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/379162

Therefore, the GCF of Fractions 624/7738,238/5194 is 2/379162

Least Common Multiple of 7738,5194 with GCF Formula

Least Common Multiple of 7738,5194 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 7738,5194 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7738,5194) = 106

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

GCF(7738,5194) x common factors =106 x 1 = 106

LCM(7738,5194) = ( 7738 × 5194 ) / 106

LCM(7738,5194) = 40191172 / 106

LCM(7738,5194) = 379162


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 624/7738, 238/5194

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 624/7738, 238/5194?

Answer: GCF of Numerators as per given numbers 624/7738, 238/5194 is

GCF of Numerators i.e. for 624,238 is 2

LCM of denominators i.e. for 7738,5194 is 379162.

Thus, GCF of Fractions is 2/379162.Finally, GCF of Fractions for 624/7738, 238/5194 is 2/379162.