Greatest Common Factor of 871/734, 716/868, 880/119

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 871/734, 716/868, 880/119

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 871/734,716/868,880/119

Given fractions are 871/734,716/868,880/119

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 871,716,880

Greatest Common Factor of Numerators i.e. GCF of 871,716,880 is 1 .

LCM of Denominators means LCM of 734,868,119 as per the given fractions.

LCM of 734,868,119 is 5415452 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 871,716,880

GCF of Fractions 871/734,716/868,880/119 is 1/5415452

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

Greatest Common Factor of 871,716,880 By Matching Biggest Common Factor Method

Greatest Common Factor of 871,716,880 By Matching Biggest Common Factor Method

Factors of 871

List of positive integer factors of 871 that divides 871 without a remainder.

1,13,67,871

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Greatest Common Factor

We found the factors 871,716,880 . The biggest common factor number is the GCF number.
So the greatest common factor 871,716,880 is 1.

Lets's calculate LCM of 734,868,119

2 734, 868, 119
7 367, 434, 119
367, 62, 17

∴ So the LCM of the given numbers is 2 x 7 x 367 x 62 x 17 = 5415452

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5415452

Therefore, the GCF of Fractions 871/734,716/868,880/119 is 1/5415452

Least Common Multiple of 734,868,119 with GCF Formula

Least Common Multiple of 734,868,119 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 734,868,119 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(734,868,119) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(734,868,119) x common factors =1 x 14 = 14

LCM(734,868,119) = ( 734 × 868 × 119 ) / 14

LCM(734,868,119) = 75816328 / 14

LCM(734,868,119) = 5415452


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 871/734, 716/868, 880/119

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 871/734, 716/868, 880/119?

Answer: GCF of Numerators as per given numbers 871/734, 716/868, 880/119 is

GCF of Numerators i.e. for 871,716,880 is 1

LCM of denominators i.e. for 734,868,119 is 5415452.

Thus, GCF of Fractions is 1/5415452.Finally, GCF of Fractions for 871/734, 716/868, 880/119 is 1/5415452.