Greatest Common Factor of 642/306, 736/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 642/306, 736/314

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 642/306,736/314

Given fractions are 642/306,736/314

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 642,736

Greatest Common Factor of Numerators i.e. GCF of 642,736 is 2 .

LCM of Denominators means LCM of 306,314 as per the given fractions.

LCM of 306,314 is 48042 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 642,736

GCF of Fractions 642/306,736/314 is 2/48042

2 642, 736
321, 368

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

Greatest Common Factor of 642,736 By Matching Biggest Common Factor Method

Greatest Common Factor of 642,736 By Matching Biggest Common Factor Method

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Greatest Common Factor

We found the factors 642,736 . The biggest common factor number is the GCF number.
So the greatest common factor 642,736 is 2.

Lets's calculate LCM of 306,314

2 306, 314
153, 157

∴ So the LCM of the given numbers is 2 x 153 x 157 = 48042

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/48042

Therefore, the GCF of Fractions 642/306,736/314 is 2/48042

Least Common Multiple of 306,314 with GCF Formula

Least Common Multiple of 306,314 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 306,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(306,314) = 2

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

GCF(306,314) x common factors =2 x 1 = 2

LCM(306,314) = ( 306 × 314 ) / 2

LCM(306,314) = 96084 / 2

LCM(306,314) = 48042


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 642/306, 736/314

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 642/306, 736/314?

Answer: GCF of Numerators as per given numbers 642/306, 736/314 is

GCF of Numerators i.e. for 642,736 is 2

LCM of denominators i.e. for 306,314 is 48042.

Thus, GCF of Fractions is 2/48042.Finally, GCF of Fractions for 642/306, 736/314 is 2/48042.