Greatest Common Factor of 1717/57, 2832/677

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1717/57, 2832/677

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 1717/57,2832/677

Given fractions are 1717/57,2832/677

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 1717,2832

Greatest Common Factor of Numerators i.e. GCF of 1717,2832 is 1 .

LCM of Denominators means LCM of 57,677 as per the given fractions.

LCM of 57,677 is 38589 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1717,2832

GCF of Fractions 1717/57,2832/677 is 1/38589

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

Greatest Common Factor of 1717,2832 By Matching Biggest Common Factor Method

Greatest Common Factor of 1717,2832 By Matching Biggest Common Factor Method

Factors of 1717

List of positive integer factors of 1717 that divides 1717 without a remainder.

1,17,101,1717

Factors of 2832

List of positive integer factors of 2832 that divides 2832 without a remainder.

1,2,3,4,6,8,12,16,24,48,59,118,177,236,354,472,708,944,1416,2832

Greatest Common Factor

We found the factors 1717,2832 . The biggest common factor number is the GCF number.
So the greatest common factor 1717,2832 is 1.

Lets's calculate LCM of 57,677

Given numbers has no common factors except 1. So, there LCM is their product i.e 38589

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38589

Therefore, the GCF of Fractions 1717/57,2832/677 is 1/38589

Least Common Multiple of 57,677 with GCF Formula

Least Common Multiple of 57,677 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 57,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,677) = 1

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

GCF(57,677) x common factors =1 x 1 = 1

LCM(57,677) = ( 57 × 677 ) / 1

LCM(57,677) = 38589 / 1

LCM(57,677) = 38589


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 1717/57, 2832/677

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 1717/57, 2832/677?

Answer: GCF of Numerators as per given numbers 1717/57, 2832/677 is

GCF of Numerators i.e. for 1717,2832 is 1

LCM of denominators i.e. for 57,677 is 38589.

Thus, GCF of Fractions is 1/38589.Finally, GCF of Fractions for 1717/57, 2832/677 is 1/38589.