Greatest Common Factor of 721/428, 7000/121

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 721/428, 7000/121

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 721/428,7000/121

Given fractions are 721/428,7000/121

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 721,7000

Greatest Common Factor of Numerators i.e. GCF of 721,7000 is 7 .

LCM of Denominators means LCM of 428,121 as per the given fractions.

LCM of 428,121 is 51788 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 721,7000

GCF of Fractions 721/428,7000/121 is 7/51788

7 721, 7000
103, 1000

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 721,7000 By Matching Biggest Common Factor Method

Greatest Common Factor of 721,7000 By Matching Biggest Common Factor Method

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

Factors of 7000

List of positive integer factors of 7000 that divides 7000 without a remainder.

1,2,4,5,7,8,10,14,20,25,28,35,40,50,56,70,100,125,140,175,200,250,280,350,500,700,875,1000,1400,1750,3500,7000

Greatest Common Factor

We found the factors 721,7000 . The biggest common factor number is the GCF number.
So the greatest common factor 721,7000 is 7.

Lets's calculate LCM of 428,121

Given numbers has no common factors except 1. So, there LCM is their product i.e 51788

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/51788

Therefore, the GCF of Fractions 721/428,7000/121 is 7/51788

Least Common Multiple of 428,121 with GCF Formula

Least Common Multiple of 428,121 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 428,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,121) = 1

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

GCF(428,121) x common factors =1 x 1 = 1

LCM(428,121) = ( 428 × 121 ) / 1

LCM(428,121) = 51788 / 1

LCM(428,121) = 51788


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 721/428, 7000/121

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 721/428, 7000/121?

Answer: GCF of Numerators as per given numbers 721/428, 7000/121 is

GCF of Numerators i.e. for 721,7000 is 7

LCM of denominators i.e. for 428,121 is 51788.

Thus, GCF of Fractions is 7/51788.Finally, GCF of Fractions for 721/428, 7000/121 is 7/51788.