Greatest Common Factor of 68/15, 51/26, 425/362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 68/15, 51/26, 425/362

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 68/15,51/26,425/362

Given fractions are 68/15,51/26,425/362

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 68,51,425

Greatest Common Factor of Numerators i.e. GCF of 68,51,425 is 17 .

LCM of Denominators means LCM of 15,26,362 as per the given fractions.

LCM of 15,26,362 is 70590 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 68,51,425

GCF of Fractions 68/15,51/26,425/362 is 17/70590

17 68, 51, 425
4, 3, 25

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 68,51,425 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,51,425 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 425

List of positive integer factors of 425 that divides 425 without a remainder.

1,5,17,25,85,425

Greatest Common Factor

We found the factors 68,51,425 . The biggest common factor number is the GCF number.
So the greatest common factor 68,51,425 is 17.

Lets's calculate LCM of 15,26,362

2 15, 26, 362
15, 13, 181

∴ So the LCM of the given numbers is 2 x 15 x 13 x 181 = 70590

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/70590

Therefore, the GCF of Fractions 68/15,51/26,425/362 is 17/70590

Least Common Multiple of 15,26,362 with GCF Formula

Least Common Multiple of 15,26,362 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 15,26,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,26,362) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(15,26,362) x common factors =1 x 2 = 2

LCM(15,26,362) = ( 15 × 26 × 362 ) / 2

LCM(15,26,362) = 141180 / 2

LCM(15,26,362) = 70590


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 68/15, 51/26, 425/362

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 68/15, 51/26, 425/362?

Answer: GCF of Numerators as per given numbers 68/15, 51/26, 425/362 is

GCF of Numerators i.e. for 68,51,425 is 17

LCM of denominators i.e. for 15,26,362 is 70590.

Thus, GCF of Fractions is 17/70590.Finally, GCF of Fractions for 68/15, 51/26, 425/362 is 17/70590.