Greatest Common Factor of 2711/577, 3216/5686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2711/577, 3216/5686

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 2711/577,3216/5686

Given fractions are 2711/577,3216/5686

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 2711,3216

Greatest Common Factor of Numerators i.e. GCF of 2711,3216 is 1 .

LCM of Denominators means LCM of 577,5686 as per the given fractions.

LCM of 577,5686 is 3280822 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2711,3216

GCF of Fractions 2711/577,3216/5686 is 1/3280822

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

Greatest Common Factor of 2711,3216 By Matching Biggest Common Factor Method

Greatest Common Factor of 2711,3216 By Matching Biggest Common Factor Method

Factors of 2711

List of positive integer factors of 2711 that divides 2711 without a remainder.

1,2711

Factors of 3216

List of positive integer factors of 3216 that divides 3216 without a remainder.

1,2,3,4,6,8,12,16,24,48,67,134,201,268,402,536,804,1072,1608,3216

Greatest Common Factor

We found the factors 2711,3216 . The biggest common factor number is the GCF number.
So the greatest common factor 2711,3216 is 1.

Lets's calculate LCM of 577,5686

Given numbers has no common factors except 1. So, there LCM is their product i.e 3280822

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3280822

Therefore, the GCF of Fractions 2711/577,3216/5686 is 1/3280822

Least Common Multiple of 577,5686 with GCF Formula

Least Common Multiple of 577,5686 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 577,5686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(577,5686) = 1

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

GCF(577,5686) x common factors =1 x 1 = 1

LCM(577,5686) = ( 577 × 5686 ) / 1

LCM(577,5686) = 3280822 / 1

LCM(577,5686) = 3280822


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 2711/577, 3216/5686

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 2711/577, 3216/5686?

Answer: GCF of Numerators as per given numbers 2711/577, 3216/5686 is

GCF of Numerators i.e. for 2711,3216 is 1

LCM of denominators i.e. for 577,5686 is 3280822.

Thus, GCF of Fractions is 1/3280822.Finally, GCF of Fractions for 2711/577, 3216/5686 is 1/3280822.