Greatest Common Factor of 630/49, 750/38, 961/96

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 630/49, 750/38, 961/96

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 630/49,750/38,961/96

Given fractions are 630/49,750/38,961/96

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 630,750,961

Greatest Common Factor of Numerators i.e. GCF of 630,750,961 is 1 .

LCM of Denominators means LCM of 49,38,96 as per the given fractions.

LCM of 49,38,96 is 89376 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 630,750,961

GCF of Fractions 630/49,750/38,961/96 is 1/89376

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

Greatest Common Factor of 630,750,961 By Matching Biggest Common Factor Method

Greatest Common Factor of 630,750,961 By Matching Biggest Common Factor Method

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Factors of 961

List of positive integer factors of 961 that divides 961 without a remainder.

1,31,961

Greatest Common Factor

We found the factors 630,750,961 . The biggest common factor number is the GCF number.
So the greatest common factor 630,750,961 is 1.

Lets's calculate LCM of 49,38,96

2 49, 38, 96
49, 19, 48

∴ So the LCM of the given numbers is 2 x 49 x 19 x 48 = 89376

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/89376

Therefore, the GCF of Fractions 630/49,750/38,961/96 is 1/89376

Least Common Multiple of 49,38,96 with GCF Formula

Least Common Multiple of 49,38,96 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 49,38,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,38,96) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(49,38,96) x common factors =1 x 2 = 2

LCM(49,38,96) = ( 49 × 38 × 96 ) / 2

LCM(49,38,96) = 178752 / 2

LCM(49,38,96) = 89376


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 630/49, 750/38, 961/96

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 630/49, 750/38, 961/96?

Answer: GCF of Numerators as per given numbers 630/49, 750/38, 961/96 is

GCF of Numerators i.e. for 630,750,961 is 1

LCM of denominators i.e. for 49,38,96 is 89376.

Thus, GCF of Fractions is 1/89376.Finally, GCF of Fractions for 630/49, 750/38, 961/96 is 1/89376.