Greatest Common Factor of 1661/334, 3551/564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1661/334, 3551/564

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 1661/334,3551/564

Given fractions are 1661/334,3551/564

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 1661,3551

Greatest Common Factor of Numerators i.e. GCF of 1661,3551 is 1 .

LCM of Denominators means LCM of 334,564 as per the given fractions.

LCM of 334,564 is 94188 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1661,3551

GCF of Fractions 1661/334,3551/564 is 1/94188

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

Greatest Common Factor of 1661,3551 By Matching Biggest Common Factor Method

Greatest Common Factor of 1661,3551 By Matching Biggest Common Factor Method

Factors of 1661

List of positive integer factors of 1661 that divides 1661 without a remainder.

1,11,151,1661

Factors of 3551

List of positive integer factors of 3551 that divides 3551 without a remainder.

1,53,67,3551

Greatest Common Factor

We found the factors 1661,3551 . The biggest common factor number is the GCF number.
So the greatest common factor 1661,3551 is 1.

Lets's calculate LCM of 334,564

2 334, 564
167, 282

∴ So the LCM of the given numbers is 2 x 167 x 282 = 94188

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/94188

Therefore, the GCF of Fractions 1661/334,3551/564 is 1/94188

Least Common Multiple of 334,564 with GCF Formula

Least Common Multiple of 334,564 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 334,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(334,564) = 2

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

GCF(334,564) x common factors =2 x 1 = 2

LCM(334,564) = ( 334 × 564 ) / 2

LCM(334,564) = 188376 / 2

LCM(334,564) = 94188


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 1661/334, 3551/564

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 1661/334, 3551/564?

Answer: GCF of Numerators as per given numbers 1661/334, 3551/564 is

GCF of Numerators i.e. for 1661,3551 is 1

LCM of denominators i.e. for 334,564 is 94188.

Thus, GCF of Fractions is 1/94188.Finally, GCF of Fractions for 1661/334, 3551/564 is 1/94188.