Greatest Common Factor of 79/214, 770/269

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 79/214, 770/269

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 79/214,770/269

Given fractions are 79/214,770/269

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 79,770

Greatest Common Factor of Numerators i.e. GCF of 79,770 is 1 .

LCM of Denominators means LCM of 214,269 as per the given fractions.

LCM of 214,269 is 57566 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 79,770

GCF of Fractions 79/214,770/269 is 1/57566

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

Greatest Common Factor of 79,770 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,770 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

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 79,770 . The biggest common factor number is the GCF number.
So the greatest common factor 79,770 is 1.

Lets's calculate LCM of 214,269

Given numbers has no common factors except 1. So, there LCM is their product i.e 57566

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57566

Therefore, the GCF of Fractions 79/214,770/269 is 1/57566

Least Common Multiple of 214,269 with GCF Formula

Least Common Multiple of 214,269 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 214,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,269) = 1

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

GCF(214,269) x common factors =1 x 1 = 1

LCM(214,269) = ( 214 × 269 ) / 1

LCM(214,269) = 57566 / 1

LCM(214,269) = 57566


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 79/214, 770/269

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 79/214, 770/269?

Answer: GCF of Numerators as per given numbers 79/214, 770/269 is

GCF of Numerators i.e. for 79,770 is 1

LCM of denominators i.e. for 214,269 is 57566.

Thus, GCF of Fractions is 1/57566.Finally, GCF of Fractions for 79/214, 770/269 is 1/57566.