Greatest Common Factor of 2731/611, 3553/4338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2731/611, 3553/4338

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 2731/611,3553/4338

Given fractions are 2731/611,3553/4338

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 2731,3553

Greatest Common Factor of Numerators i.e. GCF of 2731,3553 is 1 .

LCM of Denominators means LCM of 611,4338 as per the given fractions.

LCM of 611,4338 is 2650518 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2731,3553

GCF of Fractions 2731/611,3553/4338 is 1/2650518

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

Greatest Common Factor of 2731,3553 By Matching Biggest Common Factor Method

Greatest Common Factor of 2731,3553 By Matching Biggest Common Factor Method

Factors of 2731

List of positive integer factors of 2731 that divides 2731 without a remainder.

1,2731

Factors of 3553

List of positive integer factors of 3553 that divides 3553 without a remainder.

1,11,17,19,187,209,323,3553

Greatest Common Factor

We found the factors 2731,3553 . The biggest common factor number is the GCF number.
So the greatest common factor 2731,3553 is 1.

Lets's calculate LCM of 611,4338

Given numbers has no common factors except 1. So, there LCM is their product i.e 2650518

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2650518

Therefore, the GCF of Fractions 2731/611,3553/4338 is 1/2650518

Least Common Multiple of 611,4338 with GCF Formula

Least Common Multiple of 611,4338 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 611,4338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(611,4338) = 1

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

GCF(611,4338) x common factors =1 x 1 = 1

LCM(611,4338) = ( 611 × 4338 ) / 1

LCM(611,4338) = 2650518 / 1

LCM(611,4338) = 2650518


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 2731/611, 3553/4338

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 2731/611, 3553/4338?

Answer: GCF of Numerators as per given numbers 2731/611, 3553/4338 is

GCF of Numerators i.e. for 2731,3553 is 1

LCM of denominators i.e. for 611,4338 is 2650518.

Thus, GCF of Fractions is 1/2650518.Finally, GCF of Fractions for 2731/611, 3553/4338 is 1/2650518.