Greatest Common Factor of 4671/216, 1534/3670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4671/216, 1534/3670

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 4671/216,1534/3670

Given fractions are 4671/216,1534/3670

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 4671,1534

Greatest Common Factor of Numerators i.e. GCF of 4671,1534 is 1 .

LCM of Denominators means LCM of 216,3670 as per the given fractions.

LCM of 216,3670 is 396360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4671,1534

GCF of Fractions 4671/216,1534/3670 is 1/396360

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

Greatest Common Factor of 4671,1534 By Matching Biggest Common Factor Method

Greatest Common Factor of 4671,1534 By Matching Biggest Common Factor Method

Factors of 4671

List of positive integer factors of 4671 that divides 4671 without a remainder.

1,3,9,27,173,519,1557,4671

Factors of 1534

List of positive integer factors of 1534 that divides 1534 without a remainder.

1,2,13,26,59,118,767,1534

Greatest Common Factor

We found the factors 4671,1534 . The biggest common factor number is the GCF number.
So the greatest common factor 4671,1534 is 1.

Lets's calculate LCM of 216,3670

2 216, 3670
108, 1835

∴ So the LCM of the given numbers is 2 x 108 x 1835 = 396360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/396360

Therefore, the GCF of Fractions 4671/216,1534/3670 is 1/396360

Least Common Multiple of 216,3670 with GCF Formula

Least Common Multiple of 216,3670 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 216,3670 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(216,3670) = 2

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

GCF(216,3670) x common factors =2 x 1 = 2

LCM(216,3670) = ( 216 × 3670 ) / 2

LCM(216,3670) = 792720 / 2

LCM(216,3670) = 396360


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 4671/216, 1534/3670

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 4671/216, 1534/3670?

Answer: GCF of Numerators as per given numbers 4671/216, 1534/3670 is

GCF of Numerators i.e. for 4671,1534 is 1

LCM of denominators i.e. for 216,3670 is 396360.

Thus, GCF of Fractions is 1/396360.Finally, GCF of Fractions for 4671/216, 1534/3670 is 1/396360.