Greatest Common Factor of 52/34, 403/22, 455/102

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 52/34, 403/22, 455/102

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 52/34,403/22,455/102

Given fractions are 52/34,403/22,455/102

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 52,403,455

Greatest Common Factor of Numerators i.e. GCF of 52,403,455 is 13 .

LCM of Denominators means LCM of 34,22,102 as per the given fractions.

LCM of 34,22,102 is 1122 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 52,403,455

GCF of Fractions 52/34,403/22,455/102 is 13/1122

13 52, 403, 455
4, 31, 35

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 52,403,455 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,403,455 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 403

List of positive integer factors of 403 that divides 403 without a remainder.

1,13,31,403

Factors of 455

List of positive integer factors of 455 that divides 455 without a remainder.

1,5,7,13,35,65,91,455

Greatest Common Factor

We found the factors 52,403,455 . The biggest common factor number is the GCF number.
So the greatest common factor 52,403,455 is 13.

Lets's calculate LCM of 34,22,102

2 34, 22, 102
17 17, 11, 51
1, 11, 3

∴ So the LCM of the given numbers is 2 x 17 x 1 x 11 x 3 = 1122

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1122

Therefore, the GCF of Fractions 52/34,403/22,455/102 is 13/1122

Least Common Multiple of 34,22,102 with GCF Formula

Least Common Multiple of 34,22,102 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 34,22,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,22,102) = 2

common factors(in case of two or more numbers have common factors) = 34

GCF(34,22,102) x common factors =2 x 34 = 68

LCM(34,22,102) = ( 34 × 22 × 102 ) / 68

LCM(34,22,102) = 76296 / 68

LCM(34,22,102) = 1122


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 52/34, 403/22, 455/102

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 52/34, 403/22, 455/102?

Answer: GCF of Numerators as per given numbers 52/34, 403/22, 455/102 is

GCF of Numerators i.e. for 52,403,455 is 13

LCM of denominators i.e. for 34,22,102 is 1122.

Thus, GCF of Fractions is 13/1122.Finally, GCF of Fractions for 52/34, 403/22, 455/102 is 13/1122.