Greatest Common Factor of 4235/72, 4615/252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4235/72, 4615/252

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 4235/72,4615/252

Given fractions are 4235/72,4615/252

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 4235,4615

Greatest Common Factor of Numerators i.e. GCF of 4235,4615 is 5 .

LCM of Denominators means LCM of 72,252 as per the given fractions.

LCM of 72,252 is 504 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4235,4615

GCF of Fractions 4235/72,4615/252 is 5/504

5 4235, 4615
847, 923

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 4235,4615 By Matching Biggest Common Factor Method

Greatest Common Factor of 4235,4615 By Matching Biggest Common Factor Method

Factors of 4235

List of positive integer factors of 4235 that divides 4235 without a remainder.

1,5,7,11,35,55,77,121,385,605,847,4235

Factors of 4615

List of positive integer factors of 4615 that divides 4615 without a remainder.

1,5,13,65,71,355,923,4615

Greatest Common Factor

We found the factors 4235,4615 . The biggest common factor number is the GCF number.
So the greatest common factor 4235,4615 is 5.

Lets's calculate LCM of 72,252

2 72, 252
2 36, 126
3 18, 63
3 6, 21
2, 7

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 2 x 7 = 504

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/504

Therefore, the GCF of Fractions 4235/72,4615/252 is 5/504

Least Common Multiple of 72,252 with GCF Formula

Least Common Multiple of 72,252 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 72,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,252) = 36

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

GCF(72,252) x common factors =36 x 1 = 36

LCM(72,252) = ( 72 × 252 ) / 36

LCM(72,252) = 18144 / 36

LCM(72,252) = 504


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 4235/72, 4615/252

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 4235/72, 4615/252?

Answer: GCF of Numerators as per given numbers 4235/72, 4615/252 is

GCF of Numerators i.e. for 4235,4615 is 5

LCM of denominators i.e. for 72,252 is 504.

Thus, GCF of Fractions is 5/504.Finally, GCF of Fractions for 4235/72, 4615/252 is 5/504.