Greatest Common Factor of 525/559, 265/159

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 525/559, 265/159

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 525/559,265/159

Given fractions are 525/559,265/159

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 525,265

Greatest Common Factor of Numerators i.e. GCF of 525,265 is 5 .

LCM of Denominators means LCM of 559,159 as per the given fractions.

LCM of 559,159 is 88881 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 525,265

GCF of Fractions 525/559,265/159 is 5/88881

5 525, 265
105, 53

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

Greatest Common Factor of 525,265 By Matching Biggest Common Factor Method

Greatest Common Factor of 525,265 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 265

List of positive integer factors of 265 that divides 265 without a remainder.

1,5,53,265

Greatest Common Factor

We found the factors 525,265 . The biggest common factor number is the GCF number.
So the greatest common factor 525,265 is 5.

Lets's calculate LCM of 559,159

Given numbers has no common factors except 1. So, there LCM is their product i.e 88881

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/88881

Therefore, the GCF of Fractions 525/559,265/159 is 5/88881

Least Common Multiple of 559,159 with GCF Formula

Least Common Multiple of 559,159 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 559,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(559,159) = 1

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

GCF(559,159) x common factors =1 x 1 = 1

LCM(559,159) = ( 559 × 159 ) / 1

LCM(559,159) = 88881 / 1

LCM(559,159) = 88881


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 525/559, 265/159

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 525/559, 265/159?

Answer: GCF of Numerators as per given numbers 525/559, 265/159 is

GCF of Numerators i.e. for 525,265 is 5

LCM of denominators i.e. for 559,159 is 88881.

Thus, GCF of Fractions is 5/88881.Finally, GCF of Fractions for 525/559, 265/159 is 5/88881.