Greatest Common Factor of 566/877, 1691/989

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 566/877, 1691/989

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 566/877,1691/989

Given fractions are 566/877,1691/989

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 566,1691

Greatest Common Factor of Numerators i.e. GCF of 566,1691 is 1 .

LCM of Denominators means LCM of 877,989 as per the given fractions.

LCM of 877,989 is 867353 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 566,1691

GCF of Fractions 566/877,1691/989 is 1/867353

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

Greatest Common Factor of 566,1691 By Matching Biggest Common Factor Method

Greatest Common Factor of 566,1691 By Matching Biggest Common Factor Method

Factors of 566

List of positive integer factors of 566 that divides 566 without a remainder.

1,2,283,566

Factors of 1691

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

1,19,89,1691

Greatest Common Factor

We found the factors 566,1691 . The biggest common factor number is the GCF number.
So the greatest common factor 566,1691 is 1.

Lets's calculate LCM of 877,989

Given numbers has no common factors except 1. So, there LCM is their product i.e 867353

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/867353

Therefore, the GCF of Fractions 566/877,1691/989 is 1/867353

Least Common Multiple of 877,989 with GCF Formula

Least Common Multiple of 877,989 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 877,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(877,989) = 1

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

GCF(877,989) x common factors =1 x 1 = 1

LCM(877,989) = ( 877 × 989 ) / 1

LCM(877,989) = 867353 / 1

LCM(877,989) = 867353


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 566/877, 1691/989

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 566/877, 1691/989?

Answer: GCF of Numerators as per given numbers 566/877, 1691/989 is

GCF of Numerators i.e. for 566,1691 is 1

LCM of denominators i.e. for 877,989 is 867353.

Thus, GCF of Fractions is 1/867353.Finally, GCF of Fractions for 566/877, 1691/989 is 1/867353.