Greatest Common Factor of 525/32, 175/194

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 525/32, 175/194

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 525/32,175/194

Given fractions are 525/32,175/194

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 525,175

Greatest Common Factor of Numerators i.e. GCF of 525,175 is 175 .

LCM of Denominators means LCM of 32,194 as per the given fractions.

LCM of 32,194 is 3104 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 525,175

GCF of Fractions 525/32,175/194 is 175/3104

5 525, 175
5 105, 35
7 21, 7
3, 1

∴ So the GCF of the given numbers is 5 x 5 x 7 = 175

Greatest Common Factor of 525,175 By Matching Biggest Common Factor Method

Greatest Common Factor of 525,175 By Matching Biggest Common Factor Method

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

Factors of 175

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

1,5,7,25,35,175

Greatest Common Factor

We found the factors 525,175 . The biggest common factor number is the GCF number.
So the greatest common factor 525,175 is 175.

Lets's calculate LCM of 32,194

2 32, 194
16, 97

∴ So the LCM of the given numbers is 2 x 16 x 97 = 3104

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 175/3104

Therefore, the GCF of Fractions 525/32,175/194 is 175/3104

Least Common Multiple of 32,194 with GCF Formula

Least Common Multiple of 32,194 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 32,194 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,194) = 2

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

GCF(32,194) x common factors =2 x 1 = 2

LCM(32,194) = ( 32 × 194 ) / 2

LCM(32,194) = 6208 / 2

LCM(32,194) = 3104


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 525/32, 175/194

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 525/32, 175/194?

Answer: GCF of Numerators as per given numbers 525/32, 175/194 is

GCF of Numerators i.e. for 525,175 is 175

LCM of denominators i.e. for 32,194 is 3104.

Thus, GCF of Fractions is 175/3104.Finally, GCF of Fractions for 525/32, 175/194 is 175/3104.