Greatest Common Factor of 604/68, 654/134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 604/68, 654/134

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 604/68,654/134

Given fractions are 604/68,654/134

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 604,654

Greatest Common Factor of Numerators i.e. GCF of 604,654 is 2 .

LCM of Denominators means LCM of 68,134 as per the given fractions.

LCM of 68,134 is 4556 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 604,654

GCF of Fractions 604/68,654/134 is 2/4556

2 604, 654
302, 327

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

Greatest Common Factor of 604,654 By Matching Biggest Common Factor Method

Greatest Common Factor of 604,654 By Matching Biggest Common Factor Method

Factors of 604

List of positive integer factors of 604 that divides 604 without a remainder.

1,2,4,151,302,604

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Greatest Common Factor

We found the factors 604,654 . The biggest common factor number is the GCF number.
So the greatest common factor 604,654 is 2.

Lets's calculate LCM of 68,134

2 68, 134
34, 67

∴ So the LCM of the given numbers is 2 x 34 x 67 = 4556

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4556

Therefore, the GCF of Fractions 604/68,654/134 is 2/4556

Least Common Multiple of 68,134 with GCF Formula

Least Common Multiple of 68,134 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 68,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,134) = 2

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

GCF(68,134) x common factors =2 x 1 = 2

LCM(68,134) = ( 68 × 134 ) / 2

LCM(68,134) = 9112 / 2

LCM(68,134) = 4556


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 604/68, 654/134

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 604/68, 654/134?

Answer: GCF of Numerators as per given numbers 604/68, 654/134 is

GCF of Numerators i.e. for 604,654 is 2

LCM of denominators i.e. for 68,134 is 4556.

Thus, GCF of Fractions is 2/4556.Finally, GCF of Fractions for 604/68, 654/134 is 2/4556.