Greatest Common Factor of 551/152, 8735/3515

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 551/152, 8735/3515

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 551/152,8735/3515

Given fractions are 551/152,8735/3515

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 551,8735

Greatest Common Factor of Numerators i.e. GCF of 551,8735 is 1 .

LCM of Denominators means LCM of 152,3515 as per the given fractions.

LCM of 152,3515 is 28120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 551,8735

GCF of Fractions 551/152,8735/3515 is 1/28120

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

Greatest Common Factor of 551,8735 By Matching Biggest Common Factor Method

Greatest Common Factor of 551,8735 By Matching Biggest Common Factor Method

Factors of 551

List of positive integer factors of 551 that divides 551 without a remainder.

1,19,29,551

Factors of 8735

List of positive integer factors of 8735 that divides 8735 without a remainder.

1,5,1747,8735

Greatest Common Factor

We found the factors 551,8735 . The biggest common factor number is the GCF number.
So the greatest common factor 551,8735 is 1.

Lets's calculate LCM of 152,3515

19 152, 3515
8, 185

∴ So the LCM of the given numbers is 19 x 8 x 185 = 28120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28120

Therefore, the GCF of Fractions 551/152,8735/3515 is 1/28120

Least Common Multiple of 152,3515 with GCF Formula

Least Common Multiple of 152,3515 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 152,3515 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(152,3515) = 19

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

GCF(152,3515) x common factors =19 x 1 = 19

LCM(152,3515) = ( 152 × 3515 ) / 19

LCM(152,3515) = 534280 / 19

LCM(152,3515) = 28120


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 551/152, 8735/3515

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 551/152, 8735/3515?

Answer: GCF of Numerators as per given numbers 551/152, 8735/3515 is

GCF of Numerators i.e. for 551,8735 is 1

LCM of denominators i.e. for 152,3515 is 28120.

Thus, GCF of Fractions is 1/28120.Finally, GCF of Fractions for 551/152, 8735/3515 is 1/28120.