Greatest Common Factor of 1238/70, 7358/838

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1238/70, 7358/838

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 1238/70,7358/838

Given fractions are 1238/70,7358/838

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 1238,7358

Greatest Common Factor of Numerators i.e. GCF of 1238,7358 is 2 .

LCM of Denominators means LCM of 70,838 as per the given fractions.

LCM of 70,838 is 29330 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1238,7358

GCF of Fractions 1238/70,7358/838 is 2/29330

2 1238, 7358
619, 3679

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

Greatest Common Factor of 1238,7358 By Matching Biggest Common Factor Method

Greatest Common Factor of 1238,7358 By Matching Biggest Common Factor Method

Factors of 1238

List of positive integer factors of 1238 that divides 1238 without a remainder.

1,2,619,1238

Factors of 7358

List of positive integer factors of 7358 that divides 7358 without a remainder.

1,2,13,26,283,566,3679,7358

Greatest Common Factor

We found the factors 1238,7358 . The biggest common factor number is the GCF number.
So the greatest common factor 1238,7358 is 2.

Lets's calculate LCM of 70,838

2 70, 838
35, 419

∴ So the LCM of the given numbers is 2 x 35 x 419 = 29330

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/29330

Therefore, the GCF of Fractions 1238/70,7358/838 is 2/29330

Least Common Multiple of 70,838 with GCF Formula

Least Common Multiple of 70,838 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 70,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,838) = 2

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

GCF(70,838) x common factors =2 x 1 = 2

LCM(70,838) = ( 70 × 838 ) / 2

LCM(70,838) = 58660 / 2

LCM(70,838) = 29330


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 1238/70, 7358/838

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 1238/70, 7358/838?

Answer: GCF of Numerators as per given numbers 1238/70, 7358/838 is

GCF of Numerators i.e. for 1238,7358 is 2

LCM of denominators i.e. for 70,838 is 29330.

Thus, GCF of Fractions is 2/29330.Finally, GCF of Fractions for 1238/70, 7358/838 is 2/29330.