Greatest Common Factor of 5335/567, 8825/147

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5335/567, 8825/147

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 5335/567,8825/147

Given fractions are 5335/567,8825/147

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 5335,8825

Greatest Common Factor of Numerators i.e. GCF of 5335,8825 is 5 .

LCM of Denominators means LCM of 567,147 as per the given fractions.

LCM of 567,147 is 3969 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5335,8825

GCF of Fractions 5335/567,8825/147 is 5/3969

5 5335, 8825
1067, 1765

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 5335,8825 By Matching Biggest Common Factor Method

Greatest Common Factor of 5335,8825 By Matching Biggest Common Factor Method

Factors of 5335

List of positive integer factors of 5335 that divides 5335 without a remainder.

1,5,11,55,97,485,1067,5335

Factors of 8825

List of positive integer factors of 8825 that divides 8825 without a remainder.

1,5,25,353,1765,8825

Greatest Common Factor

We found the factors 5335,8825 . The biggest common factor number is the GCF number.
So the greatest common factor 5335,8825 is 5.

Lets's calculate LCM of 567,147

3 567, 147
7 189, 49
27, 7

∴ So the LCM of the given numbers is 3 x 7 x 27 x 7 = 3969

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3969

Therefore, the GCF of Fractions 5335/567,8825/147 is 5/3969

Least Common Multiple of 567,147 with GCF Formula

Least Common Multiple of 567,147 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 567,147 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(567,147) = 21

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

GCF(567,147) x common factors =21 x 1 = 21

LCM(567,147) = ( 567 × 147 ) / 21

LCM(567,147) = 83349 / 21

LCM(567,147) = 3969


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 5335/567, 8825/147

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 5335/567, 8825/147?

Answer: GCF of Numerators as per given numbers 5335/567, 8825/147 is

GCF of Numerators i.e. for 5335,8825 is 5

LCM of denominators i.e. for 567,147 is 3969.

Thus, GCF of Fractions is 5/3969.Finally, GCF of Fractions for 5335/567, 8825/147 is 5/3969.