Greatest Common Factor of 862/880, 168/718, 947/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 862/880, 168/718, 947/742

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 862/880,168/718,947/742

Given fractions are 862/880,168/718,947/742

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 862,168,947

Greatest Common Factor of Numerators i.e. GCF of 862,168,947 is 1 .

LCM of Denominators means LCM of 880,718,742 as per the given fractions.

LCM of 880,718,742 is 117206320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 862,168,947

GCF of Fractions 862/880,168/718,947/742 is 1/117206320

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

Greatest Common Factor of 862,168,947 By Matching Biggest Common Factor Method

Greatest Common Factor of 862,168,947 By Matching Biggest Common Factor Method

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Factors of 947

List of positive integer factors of 947 that divides 947 without a remainder.

1,947

Greatest Common Factor

We found the factors 862,168,947 . The biggest common factor number is the GCF number.
So the greatest common factor 862,168,947 is 1.

Lets's calculate LCM of 880,718,742

2 880, 718, 742
440, 359, 371

∴ So the LCM of the given numbers is 2 x 440 x 359 x 371 = 117206320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/117206320

Therefore, the GCF of Fractions 862/880,168/718,947/742 is 1/117206320

Least Common Multiple of 880,718,742 with GCF Formula

Least Common Multiple of 880,718,742 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 880,718,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(880,718,742) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(880,718,742) x common factors =2 x 2 = 4

LCM(880,718,742) = ( 880 × 718 × 742 ) / 4

LCM(880,718,742) = 468825280 / 4

LCM(880,718,742) = 117206320


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 862/880, 168/718, 947/742

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 862/880, 168/718, 947/742?

Answer: GCF of Numerators as per given numbers 862/880, 168/718, 947/742 is

GCF of Numerators i.e. for 862,168,947 is 1

LCM of denominators i.e. for 880,718,742 is 117206320.

Thus, GCF of Fractions is 1/117206320.Finally, GCF of Fractions for 862/880, 168/718, 947/742 is 1/117206320.