Greatest Common Factor of 5408/73, 1564/577

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5408/73, 1564/577

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 5408/73,1564/577

Given fractions are 5408/73,1564/577

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 5408,1564

Greatest Common Factor of Numerators i.e. GCF of 5408,1564 is 4 .

LCM of Denominators means LCM of 73,577 as per the given fractions.

LCM of 73,577 is 42121 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5408,1564

GCF of Fractions 5408/73,1564/577 is 4/42121

2 5408, 1564
2 2704, 782
1352, 391

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

Greatest Common Factor of 5408,1564 By Matching Biggest Common Factor Method

Greatest Common Factor of 5408,1564 By Matching Biggest Common Factor Method

Factors of 5408

List of positive integer factors of 5408 that divides 5408 without a remainder.

1,2,4,8,13,16,26,32,52,104,169,208,338,416,676,1352,2704,5408

Factors of 1564

List of positive integer factors of 1564 that divides 1564 without a remainder.

1,2,4,17,23,34,46,68,92,391,782,1564

Greatest Common Factor

We found the factors 5408,1564 . The biggest common factor number is the GCF number.
So the greatest common factor 5408,1564 is 4.

Lets's calculate LCM of 73,577

Given numbers has no common factors except 1. So, there LCM is their product i.e 42121

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/42121

Therefore, the GCF of Fractions 5408/73,1564/577 is 4/42121

Least Common Multiple of 73,577 with GCF Formula

Least Common Multiple of 73,577 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 73,577 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,577) = 1

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

GCF(73,577) x common factors =1 x 1 = 1

LCM(73,577) = ( 73 × 577 ) / 1

LCM(73,577) = 42121 / 1

LCM(73,577) = 42121


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 5408/73, 1564/577

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 5408/73, 1564/577?

Answer: GCF of Numerators as per given numbers 5408/73, 1564/577 is

GCF of Numerators i.e. for 5408,1564 is 4

LCM of denominators i.e. for 73,577 is 42121.

Thus, GCF of Fractions is 4/42121.Finally, GCF of Fractions for 5408/73, 1564/577 is 4/42121.