Greatest Common Factor of 390/68, 842/7277

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 390/68, 842/7277

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 390/68,842/7277

Given fractions are 390/68,842/7277

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 390,842

Greatest Common Factor of Numerators i.e. GCF of 390,842 is 2 .

LCM of Denominators means LCM of 68,7277 as per the given fractions.

LCM of 68,7277 is 494836 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 390,842

GCF of Fractions 390/68,842/7277 is 2/494836

2 390, 842
195, 421

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

Greatest Common Factor of 390,842 By Matching Biggest Common Factor Method

Greatest Common Factor of 390,842 By Matching Biggest Common Factor Method

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Greatest Common Factor

We found the factors 390,842 . The biggest common factor number is the GCF number.
So the greatest common factor 390,842 is 2.

Lets's calculate LCM of 68,7277

Given numbers has no common factors except 1. So, there LCM is their product i.e 494836

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/494836

Therefore, the GCF of Fractions 390/68,842/7277 is 2/494836

Least Common Multiple of 68,7277 with GCF Formula

Least Common Multiple of 68,7277 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 68,7277 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,7277) = 1

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

GCF(68,7277) x common factors =1 x 1 = 1

LCM(68,7277) = ( 68 × 7277 ) / 1

LCM(68,7277) = 494836 / 1

LCM(68,7277) = 494836


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 390/68, 842/7277

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 390/68, 842/7277?

Answer: GCF of Numerators as per given numbers 390/68, 842/7277 is

GCF of Numerators i.e. for 390,842 is 2

LCM of denominators i.e. for 68,7277 is 494836.

Thus, GCF of Fractions is 2/494836.Finally, GCF of Fractions for 390/68, 842/7277 is 2/494836.