Greatest Common Factor of 814/87, 521/98, 122/884

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 814/87, 521/98, 122/884

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 814/87,521/98,122/884

Given fractions are 814/87,521/98,122/884

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 814,521,122

Greatest Common Factor of Numerators i.e. GCF of 814,521,122 is 1 .

LCM of Denominators means LCM of 87,98,884 as per the given fractions.

LCM of 87,98,884 is 3768492 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 814,521,122

GCF of Fractions 814/87,521/98,122/884 is 1/3768492

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

Greatest Common Factor of 814,521,122 By Matching Biggest Common Factor Method

Greatest Common Factor of 814,521,122 By Matching Biggest Common Factor Method

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Factors of 521

List of positive integer factors of 521 that divides 521 without a remainder.

1,521

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Greatest Common Factor

We found the factors 814,521,122 . The biggest common factor number is the GCF number.
So the greatest common factor 814,521,122 is 1.

Lets's calculate LCM of 87,98,884

2 87, 98, 884
87, 49, 442

∴ So the LCM of the given numbers is 2 x 87 x 49 x 442 = 3768492

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3768492

Therefore, the GCF of Fractions 814/87,521/98,122/884 is 1/3768492

Least Common Multiple of 87,98,884 with GCF Formula

Least Common Multiple of 87,98,884 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 87,98,884 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,98,884) = 1

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

GCF(87,98,884) x common factors =1 x 2 = 2

LCM(87,98,884) = ( 87 × 98 × 884 ) / 2

LCM(87,98,884) = 7536984 / 2

LCM(87,98,884) = 3768492


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 814/87, 521/98, 122/884

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 814/87, 521/98, 122/884?

Answer: GCF of Numerators as per given numbers 814/87, 521/98, 122/884 is

GCF of Numerators i.e. for 814,521,122 is 1

LCM of denominators i.e. for 87,98,884 is 3768492.

Thus, GCF of Fractions is 1/3768492.Finally, GCF of Fractions for 814/87, 521/98, 122/884 is 1/3768492.