Greatest Common Factor of 750/213, 810/719, 418/636

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 750/213, 810/719, 418/636

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 750/213,810/719,418/636

Given fractions are 750/213,810/719,418/636

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 750,810,418

Greatest Common Factor of Numerators i.e. GCF of 750,810,418 is 2 .

LCM of Denominators means LCM of 213,719,636 as per the given fractions.

LCM of 213,719,636 is 32467164 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 750,810,418

GCF of Fractions 750/213,810/719,418/636 is 2/32467164

2 750, 810, 418
375, 405, 209

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

Greatest Common Factor of 750,810,418 By Matching Biggest Common Factor Method

Greatest Common Factor of 750,810,418 By Matching Biggest Common Factor Method

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Greatest Common Factor

We found the factors 750,810,418 . The biggest common factor number is the GCF number.
So the greatest common factor 750,810,418 is 2.

Lets's calculate LCM of 213,719,636

3 213, 719, 636
71, 719, 212

∴ So the LCM of the given numbers is 3 x 71 x 719 x 212 = 32467164

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/32467164

Therefore, the GCF of Fractions 750/213,810/719,418/636 is 2/32467164

Least Common Multiple of 213,719,636 with GCF Formula

Least Common Multiple of 213,719,636 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 213,719,636 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(213,719,636) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(213,719,636) x common factors =1 x 3 = 3

LCM(213,719,636) = ( 213 × 719 × 636 ) / 3

LCM(213,719,636) = 97401492 / 3

LCM(213,719,636) = 32467164


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 750/213, 810/719, 418/636

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 750/213, 810/719, 418/636?

Answer: GCF of Numerators as per given numbers 750/213, 810/719, 418/636 is

GCF of Numerators i.e. for 750,810,418 is 2

LCM of denominators i.e. for 213,719,636 is 32467164.

Thus, GCF of Fractions is 2/32467164.Finally, GCF of Fractions for 750/213, 810/719, 418/636 is 2/32467164.