Greatest Common Factor of 869/39, 770/979

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 869/39, 770/979

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 869/39,770/979

Given fractions are 869/39,770/979

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 869,770

Greatest Common Factor of Numerators i.e. GCF of 869,770 is 11 .

LCM of Denominators means LCM of 39,979 as per the given fractions.

LCM of 39,979 is 38181 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 869,770

GCF of Fractions 869/39,770/979 is 11/38181

11 869, 770
79, 70

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 869,770 By Matching Biggest Common Factor Method

Greatest Common Factor of 869,770 By Matching Biggest Common Factor Method

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1,11,79,869

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Greatest Common Factor

We found the factors 869,770 . The biggest common factor number is the GCF number.
So the greatest common factor 869,770 is 11.

Lets's calculate LCM of 39,979

Given numbers has no common factors except 1. So, there LCM is their product i.e 38181

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/38181

Therefore, the GCF of Fractions 869/39,770/979 is 11/38181

Least Common Multiple of 39,979 with GCF Formula

Least Common Multiple of 39,979 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 39,979 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,979) = 1

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

GCF(39,979) x common factors =1 x 1 = 1

LCM(39,979) = ( 39 × 979 ) / 1

LCM(39,979) = 38181 / 1

LCM(39,979) = 38181


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 869/39, 770/979

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 869/39, 770/979?

Answer: GCF of Numerators as per given numbers 869/39, 770/979 is

GCF of Numerators i.e. for 869,770 is 11

LCM of denominators i.e. for 39,979 is 38181.

Thus, GCF of Fractions is 11/38181.Finally, GCF of Fractions for 869/39, 770/979 is 11/38181.