Greatest Common Factor of 372/35, 533/61, 502/117

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 372/35, 533/61, 502/117

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 372/35,533/61,502/117

Given fractions are 372/35,533/61,502/117

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 372,533,502

Greatest Common Factor of Numerators i.e. GCF of 372,533,502 is 1 .

LCM of Denominators means LCM of 35,61,117 as per the given fractions.

LCM of 35,61,117 is 249795 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 372,533,502

GCF of Fractions 372/35,533/61,502/117 is 1/249795

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

Greatest Common Factor of 372,533,502 By Matching Biggest Common Factor Method

Greatest Common Factor of 372,533,502 By Matching Biggest Common Factor Method

Factors of 372

List of positive integer factors of 372 that divides 372 without a remainder.

1,2,3,4,6,12,31,62,93,124,186,372

Factors of 533

List of positive integer factors of 533 that divides 533 without a remainder.

1,13,41,533

Factors of 502

List of positive integer factors of 502 that divides 502 without a remainder.

1,2,251,502

Greatest Common Factor

We found the factors 372,533,502 . The biggest common factor number is the GCF number.
So the greatest common factor 372,533,502 is 1.

Lets's calculate LCM of 35,61,117

Given numbers has no common factors except 1. So, there LCM is their product i.e 249795

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/249795

Therefore, the GCF of Fractions 372/35,533/61,502/117 is 1/249795

Least Common Multiple of 35,61,117 with GCF Formula

Least Common Multiple of 35,61,117 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 35,61,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,61,117) = 1

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

GCF(35,61,117) x common factors =1 x 1 = 1

LCM(35,61,117) = ( 35 × 61 × 117 ) / 1

LCM(35,61,117) = 249795 / 1

LCM(35,61,117) = 249795


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 372/35, 533/61, 502/117

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 372/35, 533/61, 502/117?

Answer: GCF of Numerators as per given numbers 372/35, 533/61, 502/117 is

GCF of Numerators i.e. for 372,533,502 is 1

LCM of denominators i.e. for 35,61,117 is 249795.

Thus, GCF of Fractions is 1/249795.Finally, GCF of Fractions for 372/35, 533/61, 502/117 is 1/249795.