Greatest Common Factor of 2454/630, 9149/756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2454/630, 9149/756

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 2454/630,9149/756

Given fractions are 2454/630,9149/756

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 2454,9149

Greatest Common Factor of Numerators i.e. GCF of 2454,9149 is 1 .

LCM of Denominators means LCM of 630,756 as per the given fractions.

LCM of 630,756 is 3780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2454,9149

GCF of Fractions 2454/630,9149/756 is 1/3780

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

Greatest Common Factor of 2454,9149 By Matching Biggest Common Factor Method

Greatest Common Factor of 2454,9149 By Matching Biggest Common Factor Method

Factors of 2454

List of positive integer factors of 2454 that divides 2454 without a remainder.

1,2,3,6,409,818,1227,2454

Factors of 9149

List of positive integer factors of 9149 that divides 9149 without a remainder.

1,7,1307,9149

Greatest Common Factor

We found the factors 2454,9149 . The biggest common factor number is the GCF number.
So the greatest common factor 2454,9149 is 1.

Lets's calculate LCM of 630,756

2 630, 756
3 315, 378
3 105, 126
7 35, 42
5, 6

∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 5 x 6 = 3780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3780

Therefore, the GCF of Fractions 2454/630,9149/756 is 1/3780

Least Common Multiple of 630,756 with GCF Formula

Least Common Multiple of 630,756 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 630,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(630,756) = 126

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

GCF(630,756) x common factors =126 x 1 = 126

LCM(630,756) = ( 630 × 756 ) / 126

LCM(630,756) = 476280 / 126

LCM(630,756) = 3780


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 2454/630, 9149/756

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 2454/630, 9149/756?

Answer: GCF of Numerators as per given numbers 2454/630, 9149/756 is

GCF of Numerators i.e. for 2454,9149 is 1

LCM of denominators i.e. for 630,756 is 3780.

Thus, GCF of Fractions is 1/3780.Finally, GCF of Fractions for 2454/630, 9149/756 is 1/3780.