Greatest Common Factor of 175/657, 1435/880

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 175/657, 1435/880

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 175/657,1435/880

Given fractions are 175/657,1435/880

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 175,1435

Greatest Common Factor of Numerators i.e. GCF of 175,1435 is 35 .

LCM of Denominators means LCM of 657,880 as per the given fractions.

LCM of 657,880 is 578160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 175,1435

GCF of Fractions 175/657,1435/880 is 35/578160

5 175, 1435
7 35, 287
5, 41

∴ So the GCF of the given numbers is 5 x 7 = 35

Greatest Common Factor of 175,1435 By Matching Biggest Common Factor Method

Greatest Common Factor of 175,1435 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 1435

List of positive integer factors of 1435 that divides 1435 without a remainder.

1,5,7,35,41,205,287,1435

Greatest Common Factor

We found the factors 175,1435 . The biggest common factor number is the GCF number.
So the greatest common factor 175,1435 is 35.

Lets's calculate LCM of 657,880

Given numbers has no common factors except 1. So, there LCM is their product i.e 578160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 35/578160

Therefore, the GCF of Fractions 175/657,1435/880 is 35/578160

Least Common Multiple of 657,880 with GCF Formula

Least Common Multiple of 657,880 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 657,880 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(657,880) = 1

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

GCF(657,880) x common factors =1 x 1 = 1

LCM(657,880) = ( 657 × 880 ) / 1

LCM(657,880) = 578160 / 1

LCM(657,880) = 578160


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 175/657, 1435/880

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 175/657, 1435/880?

Answer: GCF of Numerators as per given numbers 175/657, 1435/880 is

GCF of Numerators i.e. for 175,1435 is 35

LCM of denominators i.e. for 657,880 is 578160.

Thus, GCF of Fractions is 35/578160.Finally, GCF of Fractions for 175/657, 1435/880 is 35/578160.