Greatest Common Factor of 4756/586, 5980/947

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4756/586, 5980/947

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 4756/586,5980/947

Given fractions are 4756/586,5980/947

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 4756,5980

Greatest Common Factor of Numerators i.e. GCF of 4756,5980 is 4 .

LCM of Denominators means LCM of 586,947 as per the given fractions.

LCM of 586,947 is 554942 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4756,5980

GCF of Fractions 4756/586,5980/947 is 4/554942

2 4756, 5980
2 2378, 2990
1189, 1495

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

Greatest Common Factor of 4756,5980 By Matching Biggest Common Factor Method

Greatest Common Factor of 4756,5980 By Matching Biggest Common Factor Method

Factors of 4756

List of positive integer factors of 4756 that divides 4756 without a remainder.

1,2,4,29,41,58,82,116,164,1189,2378,4756

Factors of 5980

List of positive integer factors of 5980 that divides 5980 without a remainder.

1,2,4,5,10,13,20,23,26,46,52,65,92,115,130,230,260,299,460,598,1196,1495,2990,5980

Greatest Common Factor

We found the factors 4756,5980 . The biggest common factor number is the GCF number.
So the greatest common factor 4756,5980 is 4.

Lets's calculate LCM of 586,947

Given numbers has no common factors except 1. So, there LCM is their product i.e 554942

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/554942

Therefore, the GCF of Fractions 4756/586,5980/947 is 4/554942

Least Common Multiple of 586,947 with GCF Formula

Least Common Multiple of 586,947 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 586,947 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(586,947) = 1

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

GCF(586,947) x common factors =1 x 1 = 1

LCM(586,947) = ( 586 × 947 ) / 1

LCM(586,947) = 554942 / 1

LCM(586,947) = 554942


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 4756/586, 5980/947

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 4756/586, 5980/947?

Answer: GCF of Numerators as per given numbers 4756/586, 5980/947 is

GCF of Numerators i.e. for 4756,5980 is 4

LCM of denominators i.e. for 586,947 is 554942.

Thus, GCF of Fractions is 4/554942.Finally, GCF of Fractions for 4756/586, 5980/947 is 4/554942.