Greatest Common Factor of 866/32, 720/31, 700/86

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 866/32, 720/31, 700/86

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 866/32,720/31,700/86

Given fractions are 866/32,720/31,700/86

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 866,720,700

Greatest Common Factor of Numerators i.e. GCF of 866,720,700 is 2 .

LCM of Denominators means LCM of 32,31,86 as per the given fractions.

LCM of 32,31,86 is 42656 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 866,720,700

GCF of Fractions 866/32,720/31,700/86 is 2/42656

2 866, 720, 700
433, 360, 350

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 866,720,700 By Matching Biggest Common Factor Method

Greatest Common Factor of 866,720,700 By Matching Biggest Common Factor Method

Factors of 866

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

1,2,433,866

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Greatest Common Factor

We found the factors 866,720,700 . The biggest common factor number is the GCF number.
So the greatest common factor 866,720,700 is 2.

Lets's calculate LCM of 32,31,86

2 32, 31, 86
16, 31, 43

∴ So the LCM of the given numbers is 2 x 16 x 31 x 43 = 42656

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/42656

Therefore, the GCF of Fractions 866/32,720/31,700/86 is 2/42656

Least Common Multiple of 32,31,86 with GCF Formula

Least Common Multiple of 32,31,86 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 32,31,86 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,31,86) = 1

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

GCF(32,31,86) x common factors =1 x 2 = 2

LCM(32,31,86) = ( 32 × 31 × 86 ) / 2

LCM(32,31,86) = 85312 / 2

LCM(32,31,86) = 42656


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 866/32, 720/31, 700/86

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 866/32, 720/31, 700/86?

Answer: GCF of Numerators as per given numbers 866/32, 720/31, 700/86 is

GCF of Numerators i.e. for 866,720,700 is 2

LCM of denominators i.e. for 32,31,86 is 42656.

Thus, GCF of Fractions is 2/42656.Finally, GCF of Fractions for 866/32, 720/31, 700/86 is 2/42656.