Greatest Common Factor of 70/543, 617/577, 812/867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 70/543, 617/577, 812/867

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 70/543,617/577,812/867

Given fractions are 70/543,617/577,812/867

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 70,617,812

Greatest Common Factor of Numerators i.e. GCF of 70,617,812 is 1 .

LCM of Denominators means LCM of 543,577,867 as per the given fractions.

LCM of 543,577,867 is 90546879 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 70,617,812

GCF of Fractions 70/543,617/577,812/867 is 1/90546879

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

Greatest Common Factor of 70,617,812 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,617,812 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 617

List of positive integer factors of 617 that divides 617 without a remainder.

1,617

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Greatest Common Factor

We found the factors 70,617,812 . The biggest common factor number is the GCF number.
So the greatest common factor 70,617,812 is 1.

Lets's calculate LCM of 543,577,867

3 543, 577, 867
181, 577, 289

∴ So the LCM of the given numbers is 3 x 181 x 577 x 289 = 90546879

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/90546879

Therefore, the GCF of Fractions 70/543,617/577,812/867 is 1/90546879

Least Common Multiple of 543,577,867 with GCF Formula

Least Common Multiple of 543,577,867 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 543,577,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(543,577,867) = 1

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

GCF(543,577,867) x common factors =1 x 3 = 3

LCM(543,577,867) = ( 543 × 577 × 867 ) / 3

LCM(543,577,867) = 271640637 / 3

LCM(543,577,867) = 90546879


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 70/543, 617/577, 812/867

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 70/543, 617/577, 812/867?

Answer: GCF of Numerators as per given numbers 70/543, 617/577, 812/867 is

GCF of Numerators i.e. for 70,617,812 is 1

LCM of denominators i.e. for 543,577,867 is 90546879.

Thus, GCF of Fractions is 1/90546879.Finally, GCF of Fractions for 70/543, 617/577, 812/867 is 1/90546879.