Greatest Common Factor of 79/214, 474/680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 79/214, 474/680

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 79/214,474/680

Given fractions are 79/214,474/680

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 79,474

Greatest Common Factor of Numerators i.e. GCF of 79,474 is 79 .

LCM of Denominators means LCM of 214,680 as per the given fractions.

LCM of 214,680 is 72760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 79,474

GCF of Fractions 79/214,474/680 is 79/72760

79 79, 474
1, 6

∴ So the GCF of the given numbers is 79 = 79

Greatest Common Factor of 79,474 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,474 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 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Greatest Common Factor

We found the factors 79,474 . The biggest common factor number is the GCF number.
So the greatest common factor 79,474 is 79.

Lets's calculate LCM of 214,680

2 214, 680
107, 340

∴ So the LCM of the given numbers is 2 x 107 x 340 = 72760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 79/72760

Therefore, the GCF of Fractions 79/214,474/680 is 79/72760

Least Common Multiple of 214,680 with GCF Formula

Least Common Multiple of 214,680 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 214,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,680) = 2

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

GCF(214,680) x common factors =2 x 1 = 2

LCM(214,680) = ( 214 × 680 ) / 2

LCM(214,680) = 145520 / 2

LCM(214,680) = 72760


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, 474/680

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, 474/680?

Answer: GCF of Numerators as per given numbers 79/214, 474/680 is

GCF of Numerators i.e. for 79,474 is 79

LCM of denominators i.e. for 214,680 is 72760.

Thus, GCF of Fractions is 79/72760.Finally, GCF of Fractions for 79/214, 474/680 is 79/72760.