Greatest Common Factor of 5368/61, 1860/832

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5368/61, 1860/832

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 5368/61,1860/832

Given fractions are 5368/61,1860/832

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 5368,1860

Greatest Common Factor of Numerators i.e. GCF of 5368,1860 is 4 .

LCM of Denominators means LCM of 61,832 as per the given fractions.

LCM of 61,832 is 50752 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5368,1860

GCF of Fractions 5368/61,1860/832 is 4/50752

2 5368, 1860
2 2684, 930
1342, 465

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

Greatest Common Factor of 5368,1860 By Matching Biggest Common Factor Method

Greatest Common Factor of 5368,1860 By Matching Biggest Common Factor Method

Factors of 5368

List of positive integer factors of 5368 that divides 5368 without a remainder.

1,2,4,8,11,22,44,61,88,122,244,488,671,1342,2684,5368

Factors of 1860

List of positive integer factors of 1860 that divides 1860 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,31,60,62,93,124,155,186,310,372,465,620,930,1860

Greatest Common Factor

We found the factors 5368,1860 . The biggest common factor number is the GCF number.
So the greatest common factor 5368,1860 is 4.

Lets's calculate LCM of 61,832

Given numbers has no common factors except 1. So, there LCM is their product i.e 50752

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/50752

Therefore, the GCF of Fractions 5368/61,1860/832 is 4/50752

Least Common Multiple of 61,832 with GCF Formula

Least Common Multiple of 61,832 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 61,832 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,832) = 1

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

GCF(61,832) x common factors =1 x 1 = 1

LCM(61,832) = ( 61 × 832 ) / 1

LCM(61,832) = 50752 / 1

LCM(61,832) = 50752


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 5368/61, 1860/832

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 5368/61, 1860/832?

Answer: GCF of Numerators as per given numbers 5368/61, 1860/832 is

GCF of Numerators i.e. for 5368,1860 is 4

LCM of denominators i.e. for 61,832 is 50752.

Thus, GCF of Fractions is 4/50752.Finally, GCF of Fractions for 5368/61, 1860/832 is 4/50752.