Greatest Common Factor of 3262/677, 2508/464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3262/677, 2508/464

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 3262/677,2508/464

Given fractions are 3262/677,2508/464

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 3262,2508

Greatest Common Factor of Numerators i.e. GCF of 3262,2508 is 2 .

LCM of Denominators means LCM of 677,464 as per the given fractions.

LCM of 677,464 is 314128 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3262,2508

GCF of Fractions 3262/677,2508/464 is 2/314128

2 3262, 2508
1631, 1254

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 3262,2508 By Matching Biggest Common Factor Method

Greatest Common Factor of 3262,2508 By Matching Biggest Common Factor Method

Factors of 3262

List of positive integer factors of 3262 that divides 3262 without a remainder.

1,2,7,14,233,466,1631,3262

Factors of 2508

List of positive integer factors of 2508 that divides 2508 without a remainder.

1,2,3,4,6,11,12,19,22,33,38,44,57,66,76,114,132,209,228,418,627,836,1254,2508

Greatest Common Factor

We found the factors 3262,2508 . The biggest common factor number is the GCF number.
So the greatest common factor 3262,2508 is 2.

Lets's calculate LCM of 677,464

Given numbers has no common factors except 1. So, there LCM is their product i.e 314128

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/314128

Therefore, the GCF of Fractions 3262/677,2508/464 is 2/314128

Least Common Multiple of 677,464 with GCF Formula

Least Common Multiple of 677,464 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 677,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(677,464) = 1

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

GCF(677,464) x common factors =1 x 1 = 1

LCM(677,464) = ( 677 × 464 ) / 1

LCM(677,464) = 314128 / 1

LCM(677,464) = 314128


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 3262/677, 2508/464

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 3262/677, 2508/464?

Answer: GCF of Numerators as per given numbers 3262/677, 2508/464 is

GCF of Numerators i.e. for 3262,2508 is 2

LCM of denominators i.e. for 677,464 is 314128.

Thus, GCF of Fractions is 2/314128.Finally, GCF of Fractions for 3262/677, 2508/464 is 2/314128.