Greatest Common Factor of 612/25, 161/68, 525/254

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 612/25, 161/68, 525/254

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 612/25,161/68,525/254

Given fractions are 612/25,161/68,525/254

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 612,161,525

Greatest Common Factor of Numerators i.e. GCF of 612,161,525 is 1 .

LCM of Denominators means LCM of 25,68,254 as per the given fractions.

LCM of 25,68,254 is 215900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 612,161,525

GCF of Fractions 612/25,161/68,525/254 is 1/215900

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

Greatest Common Factor of 612,161,525 By Matching Biggest Common Factor Method

Greatest Common Factor of 612,161,525 By Matching Biggest Common Factor Method

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 161

List of positive integer factors of 161 that divides 161 without a remainder.

1,7,23,161

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

Greatest Common Factor

We found the factors 612,161,525 . The biggest common factor number is the GCF number.
So the greatest common factor 612,161,525 is 1.

Lets's calculate LCM of 25,68,254

2 25, 68, 254
25, 34, 127

∴ So the LCM of the given numbers is 2 x 25 x 34 x 127 = 215900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/215900

Therefore, the GCF of Fractions 612/25,161/68,525/254 is 1/215900

Least Common Multiple of 25,68,254 with GCF Formula

Least Common Multiple of 25,68,254 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 25,68,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,68,254) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(25,68,254) x common factors =1 x 2 = 2

LCM(25,68,254) = ( 25 × 68 × 254 ) / 2

LCM(25,68,254) = 431800 / 2

LCM(25,68,254) = 215900


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 612/25, 161/68, 525/254

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 612/25, 161/68, 525/254?

Answer: GCF of Numerators as per given numbers 612/25, 161/68, 525/254 is

GCF of Numerators i.e. for 612,161,525 is 1

LCM of denominators i.e. for 25,68,254 is 215900.

Thus, GCF of Fractions is 1/215900.Finally, GCF of Fractions for 612/25, 161/68, 525/254 is 1/215900.