Greatest Common Factor of 542/890, 631/764, 866/297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 542/890, 631/764, 866/297

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 542/890,631/764,866/297

Given fractions are 542/890,631/764,866/297

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 542,631,866

Greatest Common Factor of Numerators i.e. GCF of 542,631,866 is 1 .

LCM of Denominators means LCM of 890,764,297 as per the given fractions.

LCM of 890,764,297 is 100974060 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 542,631,866

GCF of Fractions 542/890,631/764,866/297 is 1/100974060

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

Greatest Common Factor of 542,631,866 By Matching Biggest Common Factor Method

Greatest Common Factor of 542,631,866 By Matching Biggest Common Factor Method

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Factors of 631

List of positive integer factors of 631 that divides 631 without a remainder.

1,631

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Greatest Common Factor

We found the factors 542,631,866 . The biggest common factor number is the GCF number.
So the greatest common factor 542,631,866 is 1.

Lets's calculate LCM of 890,764,297

2 890, 764, 297
445, 382, 297

∴ So the LCM of the given numbers is 2 x 445 x 382 x 297 = 100974060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/100974060

Therefore, the GCF of Fractions 542/890,631/764,866/297 is 1/100974060

Least Common Multiple of 890,764,297 with GCF Formula

Least Common Multiple of 890,764,297 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 890,764,297 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(890,764,297) = 1

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

GCF(890,764,297) x common factors =1 x 2 = 2

LCM(890,764,297) = ( 890 × 764 × 297 ) / 2

LCM(890,764,297) = 201948120 / 2

LCM(890,764,297) = 100974060


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 542/890, 631/764, 866/297

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 542/890, 631/764, 866/297?

Answer: GCF of Numerators as per given numbers 542/890, 631/764, 866/297 is

GCF of Numerators i.e. for 542,631,866 is 1

LCM of denominators i.e. for 890,764,297 is 100974060.

Thus, GCF of Fractions is 1/100974060.Finally, GCF of Fractions for 542/890, 631/764, 866/297 is 1/100974060.