Greatest Common Factor of 827/30, 961/9680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 827/30, 961/9680

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 827/30,961/9680

Given fractions are 827/30,961/9680

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 827,961

Greatest Common Factor of Numerators i.e. GCF of 827,961 is 1 .

LCM of Denominators means LCM of 30,9680 as per the given fractions.

LCM of 30,9680 is 29040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 827,961

GCF of Fractions 827/30,961/9680 is 1/29040

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

Greatest Common Factor of 827,961 By Matching Biggest Common Factor Method

Greatest Common Factor of 827,961 By Matching Biggest Common Factor Method

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Factors of 961

List of positive integer factors of 961 that divides 961 without a remainder.

1,31,961

Greatest Common Factor

We found the factors 827,961 . The biggest common factor number is the GCF number.
So the greatest common factor 827,961 is 1.

Lets's calculate LCM of 30,9680

2 30, 9680
5 15, 4840
3, 968

∴ So the LCM of the given numbers is 2 x 5 x 3 x 968 = 29040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29040

Therefore, the GCF of Fractions 827/30,961/9680 is 1/29040

Least Common Multiple of 30,9680 with GCF Formula

Least Common Multiple of 30,9680 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 30,9680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,9680) = 10

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

GCF(30,9680) x common factors =10 x 1 = 10

LCM(30,9680) = ( 30 × 9680 ) / 10

LCM(30,9680) = 290400 / 10

LCM(30,9680) = 29040


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 827/30, 961/9680

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 827/30, 961/9680?

Answer: GCF of Numerators as per given numbers 827/30, 961/9680 is

GCF of Numerators i.e. for 827,961 is 1

LCM of denominators i.e. for 30,9680 is 29040.

Thus, GCF of Fractions is 1/29040.Finally, GCF of Fractions for 827/30, 961/9680 is 1/29040.