Greatest Common Factor of 3583/918, 4638/6156

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3583/918, 4638/6156

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 3583/918,4638/6156

Given fractions are 3583/918,4638/6156

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 3583,4638

Greatest Common Factor of Numerators i.e. GCF of 3583,4638 is 1 .

LCM of Denominators means LCM of 918,6156 as per the given fractions.

LCM of 918,6156 is 104652 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3583,4638

GCF of Fractions 3583/918,4638/6156 is 1/104652

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

Greatest Common Factor of 3583,4638 By Matching Biggest Common Factor Method

Greatest Common Factor of 3583,4638 By Matching Biggest Common Factor Method

Factors of 3583

List of positive integer factors of 3583 that divides 3583 without a remainder.

1,3583

Factors of 4638

List of positive integer factors of 4638 that divides 4638 without a remainder.

1,2,3,6,773,1546,2319,4638

Greatest Common Factor

We found the factors 3583,4638 . The biggest common factor number is the GCF number.
So the greatest common factor 3583,4638 is 1.

Lets's calculate LCM of 918,6156

2 918, 6156
3 459, 3078
3 153, 1026
3 51, 342
17, 114

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 17 x 114 = 104652

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/104652

Therefore, the GCF of Fractions 3583/918,4638/6156 is 1/104652

Least Common Multiple of 918,6156 with GCF Formula

Least Common Multiple of 918,6156 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 918,6156 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(918,6156) = 54

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

GCF(918,6156) x common factors =54 x 1 = 54

LCM(918,6156) = ( 918 × 6156 ) / 54

LCM(918,6156) = 5651208 / 54

LCM(918,6156) = 104652


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 3583/918, 4638/6156

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 3583/918, 4638/6156?

Answer: GCF of Numerators as per given numbers 3583/918, 4638/6156 is

GCF of Numerators i.e. for 3583,4638 is 1

LCM of denominators i.e. for 918,6156 is 104652.

Thus, GCF of Fractions is 1/104652.Finally, GCF of Fractions for 3583/918, 4638/6156 is 1/104652.