Greatest Common Factor of 3486/63, 4890/161

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3486/63, 4890/161

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 3486/63,4890/161

Given fractions are 3486/63,4890/161

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 3486,4890

Greatest Common Factor of Numerators i.e. GCF of 3486,4890 is 6 .

LCM of Denominators means LCM of 63,161 as per the given fractions.

LCM of 63,161 is 1449 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3486,4890

GCF of Fractions 3486/63,4890/161 is 6/1449

2 3486, 4890
3 1743, 2445
581, 815

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 3486,4890 By Matching Biggest Common Factor Method

Greatest Common Factor of 3486,4890 By Matching Biggest Common Factor Method

Factors of 3486

List of positive integer factors of 3486 that divides 3486 without a remainder.

1,2,3,6,7,14,21,42,83,166,249,498,581,1162,1743,3486

Factors of 4890

List of positive integer factors of 4890 that divides 4890 without a remainder.

1,2,3,5,6,10,15,30,163,326,489,815,978,1630,2445,4890

Greatest Common Factor

We found the factors 3486,4890 . The biggest common factor number is the GCF number.
So the greatest common factor 3486,4890 is 6.

Lets's calculate LCM of 63,161

7 63, 161
9, 23

∴ So the LCM of the given numbers is 7 x 9 x 23 = 1449

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1449

Therefore, the GCF of Fractions 3486/63,4890/161 is 6/1449

Least Common Multiple of 63,161 with GCF Formula

Least Common Multiple of 63,161 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 63,161 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,161) = 7

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

GCF(63,161) x common factors =7 x 1 = 7

LCM(63,161) = ( 63 × 161 ) / 7

LCM(63,161) = 10143 / 7

LCM(63,161) = 1449


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 3486/63, 4890/161

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 3486/63, 4890/161?

Answer: GCF of Numerators as per given numbers 3486/63, 4890/161 is

GCF of Numerators i.e. for 3486,4890 is 6

LCM of denominators i.e. for 63,161 is 1449.

Thus, GCF of Fractions is 6/1449.Finally, GCF of Fractions for 3486/63, 4890/161 is 6/1449.