Greatest Common Factor of 7863/456, 7274/7875

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7863/456, 7274/7875

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 7863/456,7274/7875

Given fractions are 7863/456,7274/7875

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 7863,7274

Greatest Common Factor of Numerators i.e. GCF of 7863,7274 is 1 .

LCM of Denominators means LCM of 456,7875 as per the given fractions.

LCM of 456,7875 is 1197000 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7863,7274

GCF of Fractions 7863/456,7274/7875 is 1/1197000

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

Greatest Common Factor of 7863,7274 By Matching Biggest Common Factor Method

Greatest Common Factor of 7863,7274 By Matching Biggest Common Factor Method

Factors of 7863

List of positive integer factors of 7863 that divides 7863 without a remainder.

1,3,2621,7863

Factors of 7274

List of positive integer factors of 7274 that divides 7274 without a remainder.

1,2,3637,7274

Greatest Common Factor

We found the factors 7863,7274 . The biggest common factor number is the GCF number.
So the greatest common factor 7863,7274 is 1.

Lets's calculate LCM of 456,7875

3 456, 7875
152, 2625

∴ So the LCM of the given numbers is 3 x 152 x 2625 = 1197000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1197000

Therefore, the GCF of Fractions 7863/456,7274/7875 is 1/1197000

Least Common Multiple of 456,7875 with GCF Formula

Least Common Multiple of 456,7875 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 456,7875 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(456,7875) = 3

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

GCF(456,7875) x common factors =3 x 1 = 3

LCM(456,7875) = ( 456 × 7875 ) / 3

LCM(456,7875) = 3591000 / 3

LCM(456,7875) = 1197000


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 7863/456, 7274/7875

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 7863/456, 7274/7875?

Answer: GCF of Numerators as per given numbers 7863/456, 7274/7875 is

GCF of Numerators i.e. for 7863,7274 is 1

LCM of denominators i.e. for 456,7875 is 1197000.

Thus, GCF of Fractions is 1/1197000.Finally, GCF of Fractions for 7863/456, 7274/7875 is 1/1197000.