Greatest Common Factor of 250/907, 379/549, 780/721

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 250/907, 379/549, 780/721

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 250/907,379/549,780/721

Given fractions are 250/907,379/549,780/721

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 250,379,780

Greatest Common Factor of Numerators i.e. GCF of 250,379,780 is 1 .

LCM of Denominators means LCM of 907,549,721 as per the given fractions.

LCM of 907,549,721 is 359016903 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 250,379,780

GCF of Fractions 250/907,379/549,780/721 is 1/359016903

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

Greatest Common Factor of 250,379,780 By Matching Biggest Common Factor Method

Greatest Common Factor of 250,379,780 By Matching Biggest Common Factor Method

Factors of 250

List of positive integer factors of 250 that divides 250 without a remainder.

1,2,5,10,25,50,125,250

Factors of 379

List of positive integer factors of 379 that divides 379 without a remainder.

1,379

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Greatest Common Factor

We found the factors 250,379,780 . The biggest common factor number is the GCF number.
So the greatest common factor 250,379,780 is 1.


Lets's calculate LCM of 907,549,721

Given numbers has no common factors except 1. So, there LCM is their product i.e 359016903

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/359016903

Therefore, the GCF of Fractions 250/907,379/549,780/721 is 1/359016903

Least Common Multiple of 907,549,721 with GCF Formula

Least Common Multiple of 907,549,721 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 907,549,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(907,549,721) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(907,549,721) x common factors =1 x 1 = 1

LCM(907,549,721) = ( 907 × 549 × 721 ) / 1

LCM(907,549,721) = 359016903 / 1

LCM(907,549,721) = 359016903


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 250/907, 379/549, 780/721

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 250/907, 379/549, 780/721?

Answer: GCF of Numerators as per given numbers 250/907, 379/549, 780/721 is

GCF of Numerators i.e. for 250,379,780 is 1

LCM of denominators i.e. for 907,549,721 is 359016903.

Thus, GCF of Fractions is 1/359016903.Finally, GCF of Fractions for 250/907, 379/549, 780/721 is 1/359016903.