Greatest Common Factor of 752/321, 9548/765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 752/321, 9548/765

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 752/321,9548/765

Given fractions are 752/321,9548/765

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 752,9548

Greatest Common Factor of Numerators i.e. GCF of 752,9548 is 4 .

LCM of Denominators means LCM of 321,765 as per the given fractions.

LCM of 321,765 is 81855 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 752,9548

GCF of Fractions 752/321,9548/765 is 4/81855

2 752, 9548
2 376, 4774
188, 2387

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 752,9548 By Matching Biggest Common Factor Method

Greatest Common Factor of 752,9548 By Matching Biggest Common Factor Method

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Factors of 9548

List of positive integer factors of 9548 that divides 9548 without a remainder.

1,2,4,7,11,14,22,28,31,44,62,77,124,154,217,308,341,434,682,868,1364,2387,4774,9548

Greatest Common Factor

We found the factors 752,9548 . The biggest common factor number is the GCF number.
So the greatest common factor 752,9548 is 4.

Lets's calculate LCM of 321,765

3 321, 765
107, 255

∴ So the LCM of the given numbers is 3 x 107 x 255 = 81855

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/81855

Therefore, the GCF of Fractions 752/321,9548/765 is 4/81855

Least Common Multiple of 321,765 with GCF Formula

Least Common Multiple of 321,765 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 321,765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(321,765) = 3

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

GCF(321,765) x common factors =3 x 1 = 3

LCM(321,765) = ( 321 × 765 ) / 3

LCM(321,765) = 245565 / 3

LCM(321,765) = 81855


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 752/321, 9548/765

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 752/321, 9548/765?

Answer: GCF of Numerators as per given numbers 752/321, 9548/765 is

GCF of Numerators i.e. for 752,9548 is 4

LCM of denominators i.e. for 321,765 is 81855.

Thus, GCF of Fractions is 4/81855.Finally, GCF of Fractions for 752/321, 9548/765 is 4/81855.