Greatest Common Factor of 1691/627, 1725/559

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1691/627, 1725/559

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 1691/627,1725/559

Given fractions are 1691/627,1725/559

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 1691,1725

Greatest Common Factor of Numerators i.e. GCF of 1691,1725 is 1 .

LCM of Denominators means LCM of 627,559 as per the given fractions.

LCM of 627,559 is 350493 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1691,1725

GCF of Fractions 1691/627,1725/559 is 1/350493

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

Greatest Common Factor of 1691,1725 By Matching Biggest Common Factor Method

Greatest Common Factor of 1691,1725 By Matching Biggest Common Factor Method

Factors of 1691

List of positive integer factors of 1691 that divides 1691 without a remainder.

1,19,89,1691

Factors of 1725

List of positive integer factors of 1725 that divides 1725 without a remainder.

1,3,5,15,23,25,69,75,115,345,575,1725

Greatest Common Factor

We found the factors 1691,1725 . The biggest common factor number is the GCF number.
So the greatest common factor 1691,1725 is 1.

Lets's calculate LCM of 627,559

Given numbers has no common factors except 1. So, there LCM is their product i.e 350493

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/350493

Therefore, the GCF of Fractions 1691/627,1725/559 is 1/350493

Least Common Multiple of 627,559 with GCF Formula

Least Common Multiple of 627,559 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 627,559 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(627,559) = 1

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

GCF(627,559) x common factors =1 x 1 = 1

LCM(627,559) = ( 627 × 559 ) / 1

LCM(627,559) = 350493 / 1

LCM(627,559) = 350493


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 1691/627, 1725/559

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 1691/627, 1725/559?

Answer: GCF of Numerators as per given numbers 1691/627, 1725/559 is

GCF of Numerators i.e. for 1691,1725 is 1

LCM of denominators i.e. for 627,559 is 350493.

Thus, GCF of Fractions is 1/350493.Finally, GCF of Fractions for 1691/627, 1725/559 is 1/350493.