Greatest Common Factor of 104/266, 5952/665

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 104/266, 5952/665

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 104/266,5952/665

Given fractions are 104/266,5952/665

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 104,5952

Greatest Common Factor of Numerators i.e. GCF of 104,5952 is 8 .

LCM of Denominators means LCM of 266,665 as per the given fractions.

LCM of 266,665 is 1330 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 104,5952

GCF of Fractions 104/266,5952/665 is 8/1330

2 104, 5952
2 52, 2976
2 26, 1488
13, 744

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 104,5952 By Matching Biggest Common Factor Method

Greatest Common Factor of 104,5952 By Matching Biggest Common Factor Method

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Factors of 5952

List of positive integer factors of 5952 that divides 5952 without a remainder.

1,2,3,4,6,8,12,16,24,31,32,48,62,64,93,96,124,186,192,248,372,496,744,992,1488,1984,2976,5952

Greatest Common Factor

We found the factors 104,5952 . The biggest common factor number is the GCF number.
So the greatest common factor 104,5952 is 8.

Lets's calculate LCM of 266,665

7 266, 665
19 38, 95
2, 5

∴ So the LCM of the given numbers is 7 x 19 x 2 x 5 = 1330

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1330

Therefore, the GCF of Fractions 104/266,5952/665 is 8/1330

Least Common Multiple of 266,665 with GCF Formula

Least Common Multiple of 266,665 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 266,665 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(266,665) = 133

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

GCF(266,665) x common factors =133 x 1 = 133

LCM(266,665) = ( 266 × 665 ) / 133

LCM(266,665) = 176890 / 133

LCM(266,665) = 1330


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 104/266, 5952/665

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 104/266, 5952/665?

Answer: GCF of Numerators as per given numbers 104/266, 5952/665 is

GCF of Numerators i.e. for 104,5952 is 8

LCM of denominators i.e. for 266,665 is 1330.

Thus, GCF of Fractions is 8/1330.Finally, GCF of Fractions for 104/266, 5952/665 is 8/1330.