Greatest Common Factor of 52/99, 76/35, 520/385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 52/99, 76/35, 520/385

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 52/99,76/35,520/385

Given fractions are 52/99,76/35,520/385

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 52,76,520

Greatest Common Factor of Numerators i.e. GCF of 52,76,520 is 4 .

LCM of Denominators means LCM of 99,35,385 as per the given fractions.

LCM of 99,35,385 is 3465 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 52,76,520

GCF of Fractions 52/99,76/35,520/385 is 4/3465

2 52, 76, 520
2 26, 38, 260
13, 19, 130

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 52,76,520 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,76,520 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Greatest Common Factor

We found the factors 52,76,520 . The biggest common factor number is the GCF number.
So the greatest common factor 52,76,520 is 4.

Lets's calculate LCM of 99,35,385

5 99, 35, 385
7 99, 7, 77
11 99, 1, 11
9, 1, 1

∴ So the LCM of the given numbers is 5 x 7 x 11 x 9 x 1 x 1 = 3465

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3465

Therefore, the GCF of Fractions 52/99,76/35,520/385 is 4/3465

Least Common Multiple of 99,35,385 with GCF Formula

Least Common Multiple of 99,35,385 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 99,35,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,35,385) = 1

common factors(in case of two or more numbers have common factors) = 385

GCF(99,35,385) x common factors =1 x 385 = 385

LCM(99,35,385) = ( 99 × 35 × 385 ) / 385

LCM(99,35,385) = 1334025 / 385

LCM(99,35,385) = 3465


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 52/99, 76/35, 520/385

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 52/99, 76/35, 520/385?

Answer: GCF of Numerators as per given numbers 52/99, 76/35, 520/385 is

GCF of Numerators i.e. for 52,76,520 is 4

LCM of denominators i.e. for 99,35,385 is 3465.

Thus, GCF of Fractions is 4/3465.Finally, GCF of Fractions for 52/99, 76/35, 520/385 is 4/3465.