Greatest Common Factor of 711/117, 216/949

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 711/117, 216/949

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 711/117,216/949

Given fractions are 711/117,216/949

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 711,216

Greatest Common Factor of Numerators i.e. GCF of 711,216 is 9 .

LCM of Denominators means LCM of 117,949 as per the given fractions.

LCM of 117,949 is 8541 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 711,216

GCF of Fractions 711/117,216/949 is 9/8541

3 711, 216
3 237, 72
79, 24

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 711,216 By Matching Biggest Common Factor Method

Greatest Common Factor of 711,216 By Matching Biggest Common Factor Method

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Greatest Common Factor

We found the factors 711,216 . The biggest common factor number is the GCF number.
So the greatest common factor 711,216 is 9.

Lets's calculate LCM of 117,949

13 117, 949
9, 73

∴ So the LCM of the given numbers is 13 x 9 x 73 = 8541

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/8541

Therefore, the GCF of Fractions 711/117,216/949 is 9/8541

Least Common Multiple of 117,949 with GCF Formula

Least Common Multiple of 117,949 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 117,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(117,949) = 13

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

GCF(117,949) x common factors =13 x 1 = 13

LCM(117,949) = ( 117 × 949 ) / 13

LCM(117,949) = 111033 / 13

LCM(117,949) = 8541


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 711/117, 216/949

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 711/117, 216/949?

Answer: GCF of Numerators as per given numbers 711/117, 216/949 is

GCF of Numerators i.e. for 711,216 is 9

LCM of denominators i.e. for 117,949 is 8541.

Thus, GCF of Fractions is 9/8541.Finally, GCF of Fractions for 711/117, 216/949 is 9/8541.