Greatest Common Factor of 6132/158, 7304/669

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6132/158, 7304/669

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 6132/158,7304/669

Given fractions are 6132/158,7304/669

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 6132,7304

Greatest Common Factor of Numerators i.e. GCF of 6132,7304 is 4 .

LCM of Denominators means LCM of 158,669 as per the given fractions.

LCM of 158,669 is 105702 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6132,7304

GCF of Fractions 6132/158,7304/669 is 4/105702

2 6132, 7304
2 3066, 3652
1533, 1826

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

Greatest Common Factor of 6132,7304 By Matching Biggest Common Factor Method

Greatest Common Factor of 6132,7304 By Matching Biggest Common Factor Method

Factors of 6132

List of positive integer factors of 6132 that divides 6132 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,73,84,146,219,292,438,511,876,1022,1533,2044,3066,6132

Factors of 7304

List of positive integer factors of 7304 that divides 7304 without a remainder.

1,2,4,8,11,22,44,83,88,166,332,664,913,1826,3652,7304

Greatest Common Factor

We found the factors 6132,7304 . The biggest common factor number is the GCF number.
So the greatest common factor 6132,7304 is 4.

Lets's calculate LCM of 158,669

Given numbers has no common factors except 1. So, there LCM is their product i.e 105702

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/105702

Therefore, the GCF of Fractions 6132/158,7304/669 is 4/105702

Least Common Multiple of 158,669 with GCF Formula

Least Common Multiple of 158,669 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 158,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(158,669) = 1

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

GCF(158,669) x common factors =1 x 1 = 1

LCM(158,669) = ( 158 × 669 ) / 1

LCM(158,669) = 105702 / 1

LCM(158,669) = 105702


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 6132/158, 7304/669

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 6132/158, 7304/669?

Answer: GCF of Numerators as per given numbers 6132/158, 7304/669 is

GCF of Numerators i.e. for 6132,7304 is 4

LCM of denominators i.e. for 158,669 is 105702.

Thus, GCF of Fractions is 4/105702.Finally, GCF of Fractions for 6132/158, 7304/669 is 4/105702.