Greatest Common Factor of 2717/869, 9738/280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2717/869, 9738/280

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 2717/869,9738/280

Given fractions are 2717/869,9738/280

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 2717,9738

Greatest Common Factor of Numerators i.e. GCF of 2717,9738 is 1 .

LCM of Denominators means LCM of 869,280 as per the given fractions.

LCM of 869,280 is 243320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2717,9738

GCF of Fractions 2717/869,9738/280 is 1/243320

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

Greatest Common Factor of 2717,9738 By Matching Biggest Common Factor Method

Greatest Common Factor of 2717,9738 By Matching Biggest Common Factor Method

Factors of 2717

List of positive integer factors of 2717 that divides 2717 without a remainder.

1,11,13,19,143,209,247,2717

Factors of 9738

List of positive integer factors of 9738 that divides 9738 without a remainder.

1,2,3,6,9,18,541,1082,1623,3246,4869,9738

Greatest Common Factor

We found the factors 2717,9738 . The biggest common factor number is the GCF number.
So the greatest common factor 2717,9738 is 1.

Lets's calculate LCM of 869,280

Given numbers has no common factors except 1. So, there LCM is their product i.e 243320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/243320

Therefore, the GCF of Fractions 2717/869,9738/280 is 1/243320

Least Common Multiple of 869,280 with GCF Formula

Least Common Multiple of 869,280 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 869,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(869,280) = 1

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

GCF(869,280) x common factors =1 x 1 = 1

LCM(869,280) = ( 869 × 280 ) / 1

LCM(869,280) = 243320 / 1

LCM(869,280) = 243320


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 2717/869, 9738/280

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 2717/869, 9738/280?

Answer: GCF of Numerators as per given numbers 2717/869, 9738/280 is

GCF of Numerators i.e. for 2717,9738 is 1

LCM of denominators i.e. for 869,280 is 243320.

Thus, GCF of Fractions is 1/243320.Finally, GCF of Fractions for 2717/869, 9738/280 is 1/243320.