Greatest Common Factor of 708/38, 628/77, 659/234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 708/38, 628/77, 659/234

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 708/38,628/77,659/234

Given fractions are 708/38,628/77,659/234

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 708,628,659

Greatest Common Factor of Numerators i.e. GCF of 708,628,659 is 1 .

LCM of Denominators means LCM of 38,77,234 as per the given fractions.

LCM of 38,77,234 is 342342 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 708,628,659

GCF of Fractions 708/38,628/77,659/234 is 1/342342

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 708,628,659 By Matching Biggest Common Factor Method

Greatest Common Factor of 708,628,659 By Matching Biggest Common Factor Method

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Factors of 659

List of positive integer factors of 659 that divides 659 without a remainder.

1,659

Greatest Common Factor

We found the factors 708,628,659 . The biggest common factor number is the GCF number.
So the greatest common factor 708,628,659 is 1.

Lets's calculate LCM of 38,77,234

2 38, 77, 234
19, 77, 117

∴ So the LCM of the given numbers is 2 x 19 x 77 x 117 = 342342

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/342342

Therefore, the GCF of Fractions 708/38,628/77,659/234 is 1/342342

Least Common Multiple of 38,77,234 with GCF Formula

Least Common Multiple of 38,77,234 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 38,77,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,77,234) = 1

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

GCF(38,77,234) x common factors =1 x 2 = 2

LCM(38,77,234) = ( 38 × 77 × 234 ) / 2

LCM(38,77,234) = 684684 / 2

LCM(38,77,234) = 342342


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 708/38, 628/77, 659/234

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 708/38, 628/77, 659/234?

Answer: GCF of Numerators as per given numbers 708/38, 628/77, 659/234 is

GCF of Numerators i.e. for 708,628,659 is 1

LCM of denominators i.e. for 38,77,234 is 342342.

Thus, GCF of Fractions is 1/342342.Finally, GCF of Fractions for 708/38, 628/77, 659/234 is 1/342342.