Greatest Common Factor of 4520/83, 5416/958

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4520/83, 5416/958

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 4520/83,5416/958

Given fractions are 4520/83,5416/958

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 4520,5416

Greatest Common Factor of Numerators i.e. GCF of 4520,5416 is 8 .

LCM of Denominators means LCM of 83,958 as per the given fractions.

LCM of 83,958 is 79514 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4520,5416

GCF of Fractions 4520/83,5416/958 is 8/79514

2 4520, 5416
2 2260, 2708
2 1130, 1354
565, 677

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 4520,5416 By Matching Biggest Common Factor Method

Greatest Common Factor of 4520,5416 By Matching Biggest Common Factor Method

Factors of 4520

List of positive integer factors of 4520 that divides 4520 without a remainder.

1,2,4,5,8,10,20,40,113,226,452,565,904,1130,2260,4520

Factors of 5416

List of positive integer factors of 5416 that divides 5416 without a remainder.

1,2,4,8,677,1354,2708,5416

Greatest Common Factor

We found the factors 4520,5416 . The biggest common factor number is the GCF number.
So the greatest common factor 4520,5416 is 8.

Lets's calculate LCM of 83,958

Given numbers has no common factors except 1. So, there LCM is their product i.e 79514

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/79514

Therefore, the GCF of Fractions 4520/83,5416/958 is 8/79514

Least Common Multiple of 83,958 with GCF Formula

Least Common Multiple of 83,958 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 83,958 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,958) = 1

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

GCF(83,958) x common factors =1 x 1 = 1

LCM(83,958) = ( 83 × 958 ) / 1

LCM(83,958) = 79514 / 1

LCM(83,958) = 79514


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 4520/83, 5416/958

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 4520/83, 5416/958?

Answer: GCF of Numerators as per given numbers 4520/83, 5416/958 is

GCF of Numerators i.e. for 4520,5416 is 8

LCM of denominators i.e. for 83,958 is 79514.

Thus, GCF of Fractions is 8/79514.Finally, GCF of Fractions for 4520/83, 5416/958 is 8/79514.