Greatest Common Factor of 2265/948, 4677/6532

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2265/948, 4677/6532

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 2265/948,4677/6532

Given fractions are 2265/948,4677/6532

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 2265,4677

Greatest Common Factor of Numerators i.e. GCF of 2265,4677 is 3 .

LCM of Denominators means LCM of 948,6532 as per the given fractions.

LCM of 948,6532 is 1548084 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2265,4677

GCF of Fractions 2265/948,4677/6532 is 3/1548084

3 2265, 4677
755, 1559

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 2265,4677 By Matching Biggest Common Factor Method

Greatest Common Factor of 2265,4677 By Matching Biggest Common Factor Method

Factors of 2265

List of positive integer factors of 2265 that divides 2265 without a remainder.

1,3,5,15,151,453,755,2265

Factors of 4677

List of positive integer factors of 4677 that divides 4677 without a remainder.

1,3,1559,4677

Greatest Common Factor

We found the factors 2265,4677 . The biggest common factor number is the GCF number.
So the greatest common factor 2265,4677 is 3.

Lets's calculate LCM of 948,6532

2 948, 6532
2 474, 3266
237, 1633

∴ So the LCM of the given numbers is 2 x 2 x 237 x 1633 = 1548084

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1548084

Therefore, the GCF of Fractions 2265/948,4677/6532 is 3/1548084

Least Common Multiple of 948,6532 with GCF Formula

Least Common Multiple of 948,6532 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 948,6532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(948,6532) = 4

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

GCF(948,6532) x common factors =4 x 1 = 4

LCM(948,6532) = ( 948 × 6532 ) / 4

LCM(948,6532) = 6192336 / 4

LCM(948,6532) = 1548084


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 2265/948, 4677/6532

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 2265/948, 4677/6532?

Answer: GCF of Numerators as per given numbers 2265/948, 4677/6532 is

GCF of Numerators i.e. for 2265,4677 is 3

LCM of denominators i.e. for 948,6532 is 1548084.

Thus, GCF of Fractions is 3/1548084.Finally, GCF of Fractions for 2265/948, 4677/6532 is 3/1548084.