Greatest Common Factor of 860/649, 920/101

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 860/649, 920/101

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 860/649,920/101

Given fractions are 860/649,920/101

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 860,920

Greatest Common Factor of Numerators i.e. GCF of 860,920 is 20 .

LCM of Denominators means LCM of 649,101 as per the given fractions.

LCM of 649,101 is 65549 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 860,920

GCF of Fractions 860/649,920/101 is 20/65549

2 860, 920
2 430, 460
5 215, 230
43, 46

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Greatest Common Factor of 860,920 By Matching Biggest Common Factor Method

Greatest Common Factor of 860,920 By Matching Biggest Common Factor Method

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Greatest Common Factor

We found the factors 860,920 . The biggest common factor number is the GCF number.
So the greatest common factor 860,920 is 20.

Lets's calculate LCM of 649,101

Given numbers has no common factors except 1. So, there LCM is their product i.e 65549

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/65549

Therefore, the GCF of Fractions 860/649,920/101 is 20/65549

Least Common Multiple of 649,101 with GCF Formula

Least Common Multiple of 649,101 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 649,101 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(649,101) = 1

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

GCF(649,101) x common factors =1 x 1 = 1

LCM(649,101) = ( 649 × 101 ) / 1

LCM(649,101) = 65549 / 1

LCM(649,101) = 65549


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 860/649, 920/101

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 860/649, 920/101?

Answer: GCF of Numerators as per given numbers 860/649, 920/101 is

GCF of Numerators i.e. for 860,920 is 20

LCM of denominators i.e. for 649,101 is 65549.

Thus, GCF of Fractions is 20/65549.Finally, GCF of Fractions for 860/649, 920/101 is 20/65549.