Greatest Common Factor of 52/848, 733/513, 407/689

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 52/848, 733/513, 407/689

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 52/848,733/513,407/689

Given fractions are 52/848,733/513,407/689

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 52,733,407

Greatest Common Factor of Numerators i.e. GCF of 52,733,407 is 1 .

LCM of Denominators means LCM of 848,513,689 as per the given fractions.

LCM of 848,513,689 is 5655312 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 52,733,407

GCF of Fractions 52/848,733/513,407/689 is 1/5655312

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 52,733,407 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,733,407 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 733

List of positive integer factors of 733 that divides 733 without a remainder.

1,733

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Greatest Common Factor

We found the factors 52,733,407 . The biggest common factor number is the GCF number.
So the greatest common factor 52,733,407 is 1.

Lets's calculate LCM of 848,513,689

53 848, 513, 689
16, 513, 13

∴ So the LCM of the given numbers is 53 x 16 x 513 x 13 = 5655312

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5655312

Therefore, the GCF of Fractions 52/848,733/513,407/689 is 1/5655312

Least Common Multiple of 848,513,689 with GCF Formula

Least Common Multiple of 848,513,689 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 848,513,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(848,513,689) = 1

common factors(in case of two or more numbers have common factors) = 53

GCF(848,513,689) x common factors =1 x 53 = 53

LCM(848,513,689) = ( 848 × 513 × 689 ) / 53

LCM(848,513,689) = 299731536 / 53

LCM(848,513,689) = 5655312


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 52/848, 733/513, 407/689

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 52/848, 733/513, 407/689?

Answer: GCF of Numerators as per given numbers 52/848, 733/513, 407/689 is

GCF of Numerators i.e. for 52,733,407 is 1

LCM of denominators i.e. for 848,513,689 is 5655312.

Thus, GCF of Fractions is 1/5655312.Finally, GCF of Fractions for 52/848, 733/513, 407/689 is 1/5655312.