Greatest Common Factor of 48/782, 936/799

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 48/782, 936/799

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 48/782,936/799

Given fractions are 48/782,936/799

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 48,936

Greatest Common Factor of Numerators i.e. GCF of 48,936 is 24 .

LCM of Denominators means LCM of 782,799 as per the given fractions.

LCM of 782,799 is 36754 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 48,936

GCF of Fractions 48/782,936/799 is 24/36754

2 48, 936
2 24, 468
2 12, 234
3 6, 117
2, 39

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Greatest Common Factor of 48,936 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,936 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Greatest Common Factor

We found the factors 48,936 . The biggest common factor number is the GCF number.
So the greatest common factor 48,936 is 24.

Lets's calculate LCM of 782,799

17 782, 799
46, 47

∴ So the LCM of the given numbers is 17 x 46 x 47 = 36754

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/36754

Therefore, the GCF of Fractions 48/782,936/799 is 24/36754

Least Common Multiple of 782,799 with GCF Formula

Least Common Multiple of 782,799 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 782,799 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(782,799) = 17

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

GCF(782,799) x common factors =17 x 1 = 17

LCM(782,799) = ( 782 × 799 ) / 17

LCM(782,799) = 624818 / 17

LCM(782,799) = 36754


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 48/782, 936/799

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 48/782, 936/799?

Answer: GCF of Numerators as per given numbers 48/782, 936/799 is

GCF of Numerators i.e. for 48,936 is 24

LCM of denominators i.e. for 782,799 is 36754.

Thus, GCF of Fractions is 24/36754.Finally, GCF of Fractions for 48/782, 936/799 is 24/36754.