Greatest Common Factor of 1692/660, 5043/1755

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1692/660, 5043/1755

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 1692/660,5043/1755

Given fractions are 1692/660,5043/1755

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 1692,5043

Greatest Common Factor of Numerators i.e. GCF of 1692,5043 is 3 .

LCM of Denominators means LCM of 660,1755 as per the given fractions.

LCM of 660,1755 is 77220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1692,5043

GCF of Fractions 1692/660,5043/1755 is 3/77220

3 1692, 5043
564, 1681

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 1692,5043 By Matching Biggest Common Factor Method

Greatest Common Factor of 1692,5043 By Matching Biggest Common Factor Method

Factors of 1692

List of positive integer factors of 1692 that divides 1692 without a remainder.

1,2,3,4,6,9,12,18,36,47,94,141,188,282,423,564,846,1692

Factors of 5043

List of positive integer factors of 5043 that divides 5043 without a remainder.

1,3,41,123,1681,5043

Greatest Common Factor

We found the factors 1692,5043 . The biggest common factor number is the GCF number.
So the greatest common factor 1692,5043 is 3.

Lets's calculate LCM of 660,1755

3 660, 1755
5 220, 585
44, 117

∴ So the LCM of the given numbers is 3 x 5 x 44 x 117 = 77220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/77220

Therefore, the GCF of Fractions 1692/660,5043/1755 is 3/77220

Least Common Multiple of 660,1755 with GCF Formula

Least Common Multiple of 660,1755 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 660,1755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(660,1755) = 15

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

GCF(660,1755) x common factors =15 x 1 = 15

LCM(660,1755) = ( 660 × 1755 ) / 15

LCM(660,1755) = 1158300 / 15

LCM(660,1755) = 77220


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 1692/660, 5043/1755

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 1692/660, 5043/1755?

Answer: GCF of Numerators as per given numbers 1692/660, 5043/1755 is

GCF of Numerators i.e. for 1692,5043 is 3

LCM of denominators i.e. for 660,1755 is 77220.

Thus, GCF of Fractions is 3/77220.Finally, GCF of Fractions for 1692/660, 5043/1755 is 3/77220.