Greatest Common Factor of 690/976, 280/732, 571/967

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 690/976, 280/732, 571/967

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 690/976,280/732,571/967

Given fractions are 690/976,280/732,571/967

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 690,280,571

Greatest Common Factor of Numerators i.e. GCF of 690,280,571 is 1 .

LCM of Denominators means LCM of 976,732,967 as per the given fractions.

LCM of 976,732,967 is 2831376 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 690,280,571

GCF of Fractions 690/976,280/732,571/967 is 1/2831376

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

Greatest Common Factor of 690,280,571 By Matching Biggest Common Factor Method

Greatest Common Factor of 690,280,571 By Matching Biggest Common Factor Method

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Factors of 571

List of positive integer factors of 571 that divides 571 without a remainder.

1,571

Greatest Common Factor

We found the factors 690,280,571 . The biggest common factor number is the GCF number.
So the greatest common factor 690,280,571 is 1.

Lets's calculate LCM of 976,732,967

2 976, 732, 967
2 488, 366, 967
61 244, 183, 967
4, 3, 967

∴ So the LCM of the given numbers is 2 x 2 x 61 x 4 x 3 x 967 = 2831376

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2831376

Therefore, the GCF of Fractions 690/976,280/732,571/967 is 1/2831376

Least Common Multiple of 976,732,967 with GCF Formula

Least Common Multiple of 976,732,967 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 976,732,967 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(976,732,967) = 1

common factors(in case of two or more numbers have common factors) = 244

GCF(976,732,967) x common factors =1 x 244 = 244

LCM(976,732,967) = ( 976 × 732 × 967 ) / 244

LCM(976,732,967) = 690855744 / 244

LCM(976,732,967) = 2831376


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 690/976, 280/732, 571/967

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 690/976, 280/732, 571/967?

Answer: GCF of Numerators as per given numbers 690/976, 280/732, 571/967 is

GCF of Numerators i.e. for 690,280,571 is 1

LCM of denominators i.e. for 976,732,967 is 2831376.

Thus, GCF of Fractions is 1/2831376.Finally, GCF of Fractions for 690/976, 280/732, 571/967 is 1/2831376.