Greatest Common Factor of 2430/652, 3278/2998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2430/652, 3278/2998

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 2430/652,3278/2998

Given fractions are 2430/652,3278/2998

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 2430,3278

Greatest Common Factor of Numerators i.e. GCF of 2430,3278 is 2 .

LCM of Denominators means LCM of 652,2998 as per the given fractions.

LCM of 652,2998 is 977348 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2430,3278

GCF of Fractions 2430/652,3278/2998 is 2/977348

2 2430, 3278
1215, 1639

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

Greatest Common Factor of 2430,3278 By Matching Biggest Common Factor Method

Greatest Common Factor of 2430,3278 By Matching Biggest Common Factor Method

Factors of 2430

List of positive integer factors of 2430 that divides 2430 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,243,270,405,486,810,1215,2430

Factors of 3278

List of positive integer factors of 3278 that divides 3278 without a remainder.

1,2,11,22,149,298,1639,3278

Greatest Common Factor

We found the factors 2430,3278 . The biggest common factor number is the GCF number.
So the greatest common factor 2430,3278 is 2.

Lets's calculate LCM of 652,2998

2 652, 2998
326, 1499

∴ So the LCM of the given numbers is 2 x 326 x 1499 = 977348

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/977348

Therefore, the GCF of Fractions 2430/652,3278/2998 is 2/977348

Least Common Multiple of 652,2998 with GCF Formula

Least Common Multiple of 652,2998 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 652,2998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(652,2998) = 2

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

GCF(652,2998) x common factors =2 x 1 = 2

LCM(652,2998) = ( 652 × 2998 ) / 2

LCM(652,2998) = 1954696 / 2

LCM(652,2998) = 977348


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 2430/652, 3278/2998

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 2430/652, 3278/2998?

Answer: GCF of Numerators as per given numbers 2430/652, 3278/2998 is

GCF of Numerators i.e. for 2430,3278 is 2

LCM of denominators i.e. for 652,2998 is 977348.

Thus, GCF of Fractions is 2/977348.Finally, GCF of Fractions for 2430/652, 3278/2998 is 2/977348.