Greatest Common Factor of 691/74, 508/80, 219/429

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 691/74, 508/80, 219/429

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 691/74,508/80,219/429

Given fractions are 691/74,508/80,219/429

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 691,508,219

Greatest Common Factor of Numerators i.e. GCF of 691,508,219 is 1 .

LCM of Denominators means LCM of 74,80,429 as per the given fractions.

LCM of 74,80,429 is 1269840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 691,508,219

GCF of Fractions 691/74,508/80,219/429 is 1/1269840

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

Greatest Common Factor of 691,508,219 By Matching Biggest Common Factor Method

Greatest Common Factor of 691,508,219 By Matching Biggest Common Factor Method

Factors of 691

List of positive integer factors of 691 that divides 691 without a remainder.

1,691

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Factors of 219

List of positive integer factors of 219 that divides 219 without a remainder.

1,3,73,219

Greatest Common Factor

We found the factors 691,508,219 . The biggest common factor number is the GCF number.
So the greatest common factor 691,508,219 is 1.

Lets's calculate LCM of 74,80,429

2 74, 80, 429
37, 40, 429

∴ So the LCM of the given numbers is 2 x 37 x 40 x 429 = 1269840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1269840

Therefore, the GCF of Fractions 691/74,508/80,219/429 is 1/1269840

Least Common Multiple of 74,80,429 with GCF Formula

Least Common Multiple of 74,80,429 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 74,80,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,80,429) = 1

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

GCF(74,80,429) x common factors =1 x 2 = 2

LCM(74,80,429) = ( 74 × 80 × 429 ) / 2

LCM(74,80,429) = 2539680 / 2

LCM(74,80,429) = 1269840


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 691/74, 508/80, 219/429

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 691/74, 508/80, 219/429?

Answer: GCF of Numerators as per given numbers 691/74, 508/80, 219/429 is

GCF of Numerators i.e. for 691,508,219 is 1

LCM of denominators i.e. for 74,80,429 is 1269840.

Thus, GCF of Fractions is 1/1269840.Finally, GCF of Fractions for 691/74, 508/80, 219/429 is 1/1269840.