Greatest Common Factor of 2125/681, 1727/778

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2125/681, 1727/778

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 2125/681,1727/778

Given fractions are 2125/681,1727/778

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 2125,1727

Greatest Common Factor of Numerators i.e. GCF of 2125,1727 is 1 .

LCM of Denominators means LCM of 681,778 as per the given fractions.

LCM of 681,778 is 529818 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2125,1727

GCF of Fractions 2125/681,1727/778 is 1/529818

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

Greatest Common Factor of 2125,1727 By Matching Biggest Common Factor Method

Greatest Common Factor of 2125,1727 By Matching Biggest Common Factor Method

Factors of 2125

List of positive integer factors of 2125 that divides 2125 without a remainder.

1,5,17,25,85,125,425,2125

Factors of 1727

List of positive integer factors of 1727 that divides 1727 without a remainder.

1,11,157,1727

Greatest Common Factor

We found the factors 2125,1727 . The biggest common factor number is the GCF number.
So the greatest common factor 2125,1727 is 1.

Lets's calculate LCM of 681,778

Given numbers has no common factors except 1. So, there LCM is their product i.e 529818

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/529818

Therefore, the GCF of Fractions 2125/681,1727/778 is 1/529818

Least Common Multiple of 681,778 with GCF Formula

Least Common Multiple of 681,778 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 681,778 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(681,778) = 1

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

GCF(681,778) x common factors =1 x 1 = 1

LCM(681,778) = ( 681 × 778 ) / 1

LCM(681,778) = 529818 / 1

LCM(681,778) = 529818


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 2125/681, 1727/778

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 2125/681, 1727/778?

Answer: GCF of Numerators as per given numbers 2125/681, 1727/778 is

GCF of Numerators i.e. for 2125,1727 is 1

LCM of denominators i.e. for 681,778 is 529818.

Thus, GCF of Fractions is 1/529818.Finally, GCF of Fractions for 2125/681, 1727/778 is 1/529818.