Greatest Common Factor of 10/647, 2280/6321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 10/647, 2280/6321

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 10/647,2280/6321

Given fractions are 10/647,2280/6321

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 10,2280

Greatest Common Factor of Numerators i.e. GCF of 10,2280 is 10 .

LCM of Denominators means LCM of 647,6321 as per the given fractions.

LCM of 647,6321 is 4089687 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 10,2280

GCF of Fractions 10/647,2280/6321 is 10/4089687

2 10, 2280
5 5, 1140
1, 228

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 10,2280 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,2280 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 2280

List of positive integer factors of 2280 that divides 2280 without a remainder.

1,2,3,4,5,6,8,10,12,15,19,20,24,30,38,40,57,60,76,95,114,120,152,190,228,285,380,456,570,760,1140,2280

Greatest Common Factor

We found the factors 10,2280 . The biggest common factor number is the GCF number.
So the greatest common factor 10,2280 is 10.

Lets's calculate LCM of 647,6321

Given numbers has no common factors except 1. So, there LCM is their product i.e 4089687

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/4089687

Therefore, the GCF of Fractions 10/647,2280/6321 is 10/4089687

Least Common Multiple of 647,6321 with GCF Formula

Least Common Multiple of 647,6321 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 647,6321 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(647,6321) = 1

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

GCF(647,6321) x common factors =1 x 1 = 1

LCM(647,6321) = ( 647 × 6321 ) / 1

LCM(647,6321) = 4089687 / 1

LCM(647,6321) = 4089687


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 10/647, 2280/6321

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 10/647, 2280/6321?

Answer: GCF of Numerators as per given numbers 10/647, 2280/6321 is

GCF of Numerators i.e. for 10,2280 is 10

LCM of denominators i.e. for 647,6321 is 4089687.

Thus, GCF of Fractions is 10/4089687.Finally, GCF of Fractions for 10/647, 2280/6321 is 10/4089687.