Greatest Common Factor of 213/98, 422/30, 649/986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 213/98, 422/30, 649/986

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 213/98,422/30,649/986

Given fractions are 213/98,422/30,649/986

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 213,422,649

Greatest Common Factor of Numerators i.e. GCF of 213,422,649 is 1 .

LCM of Denominators means LCM of 98,30,986 as per the given fractions.

LCM of 98,30,986 is 724710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 213,422,649

GCF of Fractions 213/98,422/30,649/986 is 1/724710

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

Greatest Common Factor of 213,422,649 By Matching Biggest Common Factor Method

Greatest Common Factor of 213,422,649 By Matching Biggest Common Factor Method

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Greatest Common Factor

We found the factors 213,422,649 . The biggest common factor number is the GCF number.
So the greatest common factor 213,422,649 is 1.

Lets's calculate LCM of 98,30,986

2 98, 30, 986
49, 15, 493

∴ So the LCM of the given numbers is 2 x 49 x 15 x 493 = 724710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/724710

Therefore, the GCF of Fractions 213/98,422/30,649/986 is 1/724710

Least Common Multiple of 98,30,986 with GCF Formula

Least Common Multiple of 98,30,986 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 98,30,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,30,986) = 2

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

GCF(98,30,986) x common factors =2 x 2 = 4

LCM(98,30,986) = ( 98 × 30 × 986 ) / 4

LCM(98,30,986) = 2898840 / 4

LCM(98,30,986) = 724710


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 213/98, 422/30, 649/986

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 213/98, 422/30, 649/986?

Answer: GCF of Numerators as per given numbers 213/98, 422/30, 649/986 is

GCF of Numerators i.e. for 213,422,649 is 1

LCM of denominators i.e. for 98,30,986 is 724710.

Thus, GCF of Fractions is 1/724710.Finally, GCF of Fractions for 213/98, 422/30, 649/986 is 1/724710.