Greatest Common Factor of 835/966, 237/711

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 835/966, 237/711

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 835/966,237/711

Given fractions are 835/966,237/711

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 835,237

Greatest Common Factor of Numerators i.e. GCF of 835,237 is 1 .

LCM of Denominators means LCM of 966,711 as per the given fractions.

LCM of 966,711 is 228942 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 835,237

GCF of Fractions 835/966,237/711 is 1/228942

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

Greatest Common Factor of 835,237 By Matching Biggest Common Factor Method

Greatest Common Factor of 835,237 By Matching Biggest Common Factor Method

Factors of 835

List of positive integer factors of 835 that divides 835 without a remainder.

1,5,167,835

Factors of 237

List of positive integer factors of 237 that divides 237 without a remainder.

1,3,79,237

Greatest Common Factor

We found the factors 835,237 . The biggest common factor number is the GCF number.
So the greatest common factor 835,237 is 1.


Lets's calculate LCM of 966,711

3 966, 711
322, 237

∴ So the LCM of the given numbers is 3 x 322 x 237 = 228942

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/228942

Therefore, the GCF of Fractions 835/966,237/711 is 1/228942

Least Common Multiple of 966,711 with GCF Formula

Least Common Multiple of 966,711 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 966,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(966,711) = 3

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

GCF(966,711) x common factors =3 x 1 = 3

LCM(966,711) = ( 966 × 711 ) / 3

LCM(966,711) = 686826 / 3

LCM(966,711) = 228942


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 835/966, 237/711

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 835/966, 237/711?

Answer: GCF of Numerators as per given numbers 835/966, 237/711 is

GCF of Numerators i.e. for 835,237 is 1

LCM of denominators i.e. for 966,711 is 228942.

Thus, GCF of Fractions is 1/228942.Finally, GCF of Fractions for 835/966, 237/711 is 1/228942.