Greatest Common Factor of 48/36, 83/19, 360/757

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 48/36, 83/19, 360/757

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 48/36,83/19,360/757

Given fractions are 48/36,83/19,360/757

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 48,83,360

Greatest Common Factor of Numerators i.e. GCF of 48,83,360 is 1 .

LCM of Denominators means LCM of 36,19,757 as per the given fractions.

LCM of 36,19,757 is 517788 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 48,83,360

GCF of Fractions 48/36,83/19,360/757 is 1/517788

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

Greatest Common Factor of 48,83,360 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,83,360 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 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Greatest Common Factor

We found the factors 48,83,360 . The biggest common factor number is the GCF number.
So the greatest common factor 48,83,360 is 1.

Lets's calculate LCM of 36,19,757

Given numbers has no common factors except 1. So, there LCM is their product i.e 517788

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/517788

Therefore, the GCF of Fractions 48/36,83/19,360/757 is 1/517788

Least Common Multiple of 36,19,757 with GCF Formula

Least Common Multiple of 36,19,757 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 36,19,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,19,757) = 1

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

GCF(36,19,757) x common factors =1 x 1 = 1

LCM(36,19,757) = ( 36 × 19 × 757 ) / 1

LCM(36,19,757) = 517788 / 1

LCM(36,19,757) = 517788


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 48/36, 83/19, 360/757

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 48/36, 83/19, 360/757?

Answer: GCF of Numerators as per given numbers 48/36, 83/19, 360/757 is

GCF of Numerators i.e. for 48,83,360 is 1

LCM of denominators i.e. for 36,19,757 is 517788.

Thus, GCF of Fractions is 1/517788.Finally, GCF of Fractions for 48/36, 83/19, 360/757 is 1/517788.