Greatest Common Factor of 3652/159, 4668/6688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3652/159, 4668/6688

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 3652/159,4668/6688

Given fractions are 3652/159,4668/6688

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 3652,4668

Greatest Common Factor of Numerators i.e. GCF of 3652,4668 is 4 .

LCM of Denominators means LCM of 159,6688 as per the given fractions.

LCM of 159,6688 is 1063392 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3652,4668

GCF of Fractions 3652/159,4668/6688 is 4/1063392

2 3652, 4668
2 1826, 2334
913, 1167

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 3652,4668 By Matching Biggest Common Factor Method

Greatest Common Factor of 3652,4668 By Matching Biggest Common Factor Method

Factors of 3652

List of positive integer factors of 3652 that divides 3652 without a remainder.

1,2,4,11,22,44,83,166,332,913,1826,3652

Factors of 4668

List of positive integer factors of 4668 that divides 4668 without a remainder.

1,2,3,4,6,12,389,778,1167,1556,2334,4668

Greatest Common Factor

We found the factors 3652,4668 . The biggest common factor number is the GCF number.
So the greatest common factor 3652,4668 is 4.

Lets's calculate LCM of 159,6688

Given numbers has no common factors except 1. So, there LCM is their product i.e 1063392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1063392

Therefore, the GCF of Fractions 3652/159,4668/6688 is 4/1063392

Least Common Multiple of 159,6688 with GCF Formula

Least Common Multiple of 159,6688 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 159,6688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(159,6688) = 1

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

GCF(159,6688) x common factors =1 x 1 = 1

LCM(159,6688) = ( 159 × 6688 ) / 1

LCM(159,6688) = 1063392 / 1

LCM(159,6688) = 1063392


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 3652/159, 4668/6688

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 3652/159, 4668/6688?

Answer: GCF of Numerators as per given numbers 3652/159, 4668/6688 is

GCF of Numerators i.e. for 3652,4668 is 4

LCM of denominators i.e. for 159,6688 is 1063392.

Thus, GCF of Fractions is 4/1063392.Finally, GCF of Fractions for 3652/159, 4668/6688 is 4/1063392.