Greatest Common Factor of 8221/788, 1951/2760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8221/788, 1951/2760

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 8221/788,1951/2760

Given fractions are 8221/788,1951/2760

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 8221,1951

Greatest Common Factor of Numerators i.e. GCF of 8221,1951 is 1 .

LCM of Denominators means LCM of 788,2760 as per the given fractions.

LCM of 788,2760 is 543720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8221,1951

GCF of Fractions 8221/788,1951/2760 is 1/543720

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

Greatest Common Factor of 8221,1951 By Matching Biggest Common Factor Method

Greatest Common Factor of 8221,1951 By Matching Biggest Common Factor Method

Factors of 8221

List of positive integer factors of 8221 that divides 8221 without a remainder.

1,8221

Factors of 1951

List of positive integer factors of 1951 that divides 1951 without a remainder.

1,1951

Greatest Common Factor

We found the factors 8221,1951 . The biggest common factor number is the GCF number.
So the greatest common factor 8221,1951 is 1.

Lets's calculate LCM of 788,2760

2 788, 2760
2 394, 1380
197, 690

∴ So the LCM of the given numbers is 2 x 2 x 197 x 690 = 543720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/543720

Therefore, the GCF of Fractions 8221/788,1951/2760 is 1/543720

Least Common Multiple of 788,2760 with GCF Formula

Least Common Multiple of 788,2760 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 788,2760 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(788,2760) = 4

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

GCF(788,2760) x common factors =4 x 1 = 4

LCM(788,2760) = ( 788 × 2760 ) / 4

LCM(788,2760) = 2174880 / 4

LCM(788,2760) = 543720


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 8221/788, 1951/2760

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 8221/788, 1951/2760?

Answer: GCF of Numerators as per given numbers 8221/788, 1951/2760 is

GCF of Numerators i.e. for 8221,1951 is 1

LCM of denominators i.e. for 788,2760 is 543720.

Thus, GCF of Fractions is 1/543720.Finally, GCF of Fractions for 8221/788, 1951/2760 is 1/543720.