Greatest Common Factor of 10/13, 26/97, 176/265

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 10/13, 26/97, 176/265

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 10/13,26/97,176/265

Given fractions are 10/13,26/97,176/265

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 10,26,176

Greatest Common Factor of Numerators i.e. GCF of 10,26,176 is 2 .

LCM of Denominators means LCM of 13,97,265 as per the given fractions.

LCM of 13,97,265 is 334165 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 10,26,176

GCF of Fractions 10/13,26/97,176/265 is 2/334165

2 10, 26, 176
5, 13, 88

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

Greatest Common Factor of 10,26,176 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,26,176 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Greatest Common Factor

We found the factors 10,26,176 . The biggest common factor number is the GCF number.
So the greatest common factor 10,26,176 is 2.

Lets's calculate LCM of 13,97,265

Given numbers has no common factors except 1. So, there LCM is their product i.e 334165

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/334165

Therefore, the GCF of Fractions 10/13,26/97,176/265 is 2/334165

Least Common Multiple of 13,97,265 with GCF Formula

Least Common Multiple of 13,97,265 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 13,97,265 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,97,265) = 1

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

GCF(13,97,265) x common factors =1 x 1 = 1

LCM(13,97,265) = ( 13 × 97 × 265 ) / 1

LCM(13,97,265) = 334165 / 1

LCM(13,97,265) = 334165


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 10/13, 26/97, 176/265

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 10/13, 26/97, 176/265?

Answer: GCF of Numerators as per given numbers 10/13, 26/97, 176/265 is

GCF of Numerators i.e. for 10,26,176 is 2

LCM of denominators i.e. for 13,97,265 is 334165.

Thus, GCF of Fractions is 2/334165.Finally, GCF of Fractions for 10/13, 26/97, 176/265 is 2/334165.