Greatest Common Factor of 238/35, 866/76, 961/267

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 238/35, 866/76, 961/267

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 238/35,866/76,961/267

Given fractions are 238/35,866/76,961/267

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 238,866,961

Greatest Common Factor of Numerators i.e. GCF of 238,866,961 is 1 .

LCM of Denominators means LCM of 35,76,267 as per the given fractions.

LCM of 35,76,267 is 710220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 238,866,961

GCF of Fractions 238/35,866/76,961/267 is 1/710220

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

Greatest Common Factor of 238,866,961 By Matching Biggest Common Factor Method

Greatest Common Factor of 238,866,961 By Matching Biggest Common Factor Method

Factors of 238

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

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

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Factors of 961

List of positive integer factors of 961 that divides 961 without a remainder.

1,31,961

Greatest Common Factor

We found the factors 238,866,961 . The biggest common factor number is the GCF number.
So the greatest common factor 238,866,961 is 1.

Lets's calculate LCM of 35,76,267

Given numbers has no common factors except 1. So, there LCM is their product i.e 710220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/710220

Therefore, the GCF of Fractions 238/35,866/76,961/267 is 1/710220

Least Common Multiple of 35,76,267 with GCF Formula

Least Common Multiple of 35,76,267 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 35,76,267 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,76,267) = 1

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

GCF(35,76,267) x common factors =1 x 1 = 1

LCM(35,76,267) = ( 35 × 76 × 267 ) / 1

LCM(35,76,267) = 710220 / 1

LCM(35,76,267) = 710220


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 238/35, 866/76, 961/267

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 238/35, 866/76, 961/267?

Answer: GCF of Numerators as per given numbers 238/35, 866/76, 961/267 is

GCF of Numerators i.e. for 238,866,961 is 1

LCM of denominators i.e. for 35,76,267 is 710220.

Thus, GCF of Fractions is 1/710220.Finally, GCF of Fractions for 238/35, 866/76, 961/267 is 1/710220.