Greatest Common Factor of 816/61, 960/7352

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 816/61, 960/7352

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 816/61,960/7352

Given fractions are 816/61,960/7352

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 816,960

Greatest Common Factor of Numerators i.e. GCF of 816,960 is 48 .

LCM of Denominators means LCM of 61,7352 as per the given fractions.

LCM of 61,7352 is 448472 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 816,960

GCF of Fractions 816/61,960/7352 is 48/448472

2 816, 960
2 408, 480
2 204, 240
2 102, 120
3 51, 60
17, 20

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 3 = 48

Greatest Common Factor of 816,960 By Matching Biggest Common Factor Method

Greatest Common Factor of 816,960 By Matching Biggest Common Factor Method

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Greatest Common Factor

We found the factors 816,960 . The biggest common factor number is the GCF number.
So the greatest common factor 816,960 is 48.

Lets's calculate LCM of 61,7352

Given numbers has no common factors except 1. So, there LCM is their product i.e 448472

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 48/448472

Therefore, the GCF of Fractions 816/61,960/7352 is 48/448472

Least Common Multiple of 61,7352 with GCF Formula

Least Common Multiple of 61,7352 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 61,7352 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,7352) = 1

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

GCF(61,7352) x common factors =1 x 1 = 1

LCM(61,7352) = ( 61 × 7352 ) / 1

LCM(61,7352) = 448472 / 1

LCM(61,7352) = 448472


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 816/61, 960/7352

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 816/61, 960/7352?

Answer: GCF of Numerators as per given numbers 816/61, 960/7352 is

GCF of Numerators i.e. for 816,960 is 48

LCM of denominators i.e. for 61,7352 is 448472.

Thus, GCF of Fractions is 48/448472.Finally, GCF of Fractions for 816/61, 960/7352 is 48/448472.