Greatest Common Factor of 175/659, 3775/8232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 175/659, 3775/8232

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 175/659,3775/8232

Given fractions are 175/659,3775/8232

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 175,3775

Greatest Common Factor of Numerators i.e. GCF of 175,3775 is 25 .

LCM of Denominators means LCM of 659,8232 as per the given fractions.

LCM of 659,8232 is 5424888 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 175,3775

GCF of Fractions 175/659,3775/8232 is 25/5424888

5 175, 3775
5 35, 755
7, 151

∴ So the GCF of the given numbers is 5 x 5 = 25

Greatest Common Factor of 175,3775 By Matching Biggest Common Factor Method

Greatest Common Factor of 175,3775 By Matching Biggest Common Factor Method

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Factors of 3775

List of positive integer factors of 3775 that divides 3775 without a remainder.

1,5,25,151,755,3775

Greatest Common Factor

We found the factors 175,3775 . The biggest common factor number is the GCF number.
So the greatest common factor 175,3775 is 25.

Lets's calculate LCM of 659,8232

Given numbers has no common factors except 1. So, there LCM is their product i.e 5424888

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/5424888

Therefore, the GCF of Fractions 175/659,3775/8232 is 25/5424888

Least Common Multiple of 659,8232 with GCF Formula

Least Common Multiple of 659,8232 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 659,8232 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(659,8232) = 1

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

GCF(659,8232) x common factors =1 x 1 = 1

LCM(659,8232) = ( 659 × 8232 ) / 1

LCM(659,8232) = 5424888 / 1

LCM(659,8232) = 5424888


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 175/659, 3775/8232

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 175/659, 3775/8232?

Answer: GCF of Numerators as per given numbers 175/659, 3775/8232 is

GCF of Numerators i.e. for 175,3775 is 25

LCM of denominators i.e. for 659,8232 is 5424888.

Thus, GCF of Fractions is 25/5424888.Finally, GCF of Fractions for 175/659, 3775/8232 is 25/5424888.