Greatest Common Factor of 1718/596, 2525/888

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1718/596, 2525/888

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 1718/596,2525/888

Given fractions are 1718/596,2525/888

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 1718,2525

Greatest Common Factor of Numerators i.e. GCF of 1718,2525 is 1 .

LCM of Denominators means LCM of 596,888 as per the given fractions.

LCM of 596,888 is 132312 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1718,2525

GCF of Fractions 1718/596,2525/888 is 1/132312

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

Greatest Common Factor of 1718,2525 By Matching Biggest Common Factor Method

Greatest Common Factor of 1718,2525 By Matching Biggest Common Factor Method

Factors of 1718

List of positive integer factors of 1718 that divides 1718 without a remainder.

1,2,859,1718

Factors of 2525

List of positive integer factors of 2525 that divides 2525 without a remainder.

1,5,25,101,505,2525

Greatest Common Factor

We found the factors 1718,2525 . The biggest common factor number is the GCF number.
So the greatest common factor 1718,2525 is 1.

Lets's calculate LCM of 596,888

2 596, 888
2 298, 444
149, 222

∴ So the LCM of the given numbers is 2 x 2 x 149 x 222 = 132312

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/132312

Therefore, the GCF of Fractions 1718/596,2525/888 is 1/132312

Least Common Multiple of 596,888 with GCF Formula

Least Common Multiple of 596,888 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 596,888 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(596,888) = 4

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

GCF(596,888) x common factors =4 x 1 = 4

LCM(596,888) = ( 596 × 888 ) / 4

LCM(596,888) = 529248 / 4

LCM(596,888) = 132312


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 1718/596, 2525/888

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 1718/596, 2525/888?

Answer: GCF of Numerators as per given numbers 1718/596, 2525/888 is

GCF of Numerators i.e. for 1718,2525 is 1

LCM of denominators i.e. for 596,888 is 132312.

Thus, GCF of Fractions is 1/132312.Finally, GCF of Fractions for 1718/596, 2525/888 is 1/132312.