Greatest Common Factor of 218/74, 646/62, 430/725

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 218/74, 646/62, 430/725

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 218/74,646/62,430/725

Given fractions are 218/74,646/62,430/725

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 218,646,430

Greatest Common Factor of Numerators i.e. GCF of 218,646,430 is 2 .

LCM of Denominators means LCM of 74,62,725 as per the given fractions.

LCM of 74,62,725 is 1663150 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 218,646,430

GCF of Fractions 218/74,646/62,430/725 is 2/1663150

2 218, 646, 430
109, 323, 215

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 218,646,430 By Matching Biggest Common Factor Method

Greatest Common Factor of 218,646,430 By Matching Biggest Common Factor Method

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Greatest Common Factor

We found the factors 218,646,430 . The biggest common factor number is the GCF number.
So the greatest common factor 218,646,430 is 2.

Lets's calculate LCM of 74,62,725

2 74, 62, 725
37, 31, 725

∴ So the LCM of the given numbers is 2 x 37 x 31 x 725 = 1663150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1663150

Therefore, the GCF of Fractions 218/74,646/62,430/725 is 2/1663150

Least Common Multiple of 74,62,725 with GCF Formula

Least Common Multiple of 74,62,725 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 74,62,725 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,62,725) = 1

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

GCF(74,62,725) x common factors =1 x 2 = 2

LCM(74,62,725) = ( 74 × 62 × 725 ) / 2

LCM(74,62,725) = 3326300 / 2

LCM(74,62,725) = 1663150


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 218/74, 646/62, 430/725

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 218/74, 646/62, 430/725?

Answer: GCF of Numerators as per given numbers 218/74, 646/62, 430/725 is

GCF of Numerators i.e. for 218,646,430 is 2

LCM of denominators i.e. for 74,62,725 is 1663150.

Thus, GCF of Fractions is 2/1663150.Finally, GCF of Fractions for 218/74, 646/62, 430/725 is 2/1663150.