Greatest Common Factor of 84/65, 23/727, 390/920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 84/65, 23/727, 390/920

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 84/65,23/727,390/920

Given fractions are 84/65,23/727,390/920

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 84,23,390

Greatest Common Factor of Numerators i.e. GCF of 84,23,390 is 1 .

LCM of Denominators means LCM of 65,727,920 as per the given fractions.

LCM of 65,727,920 is 8694920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 84,23,390

GCF of Fractions 84/65,23/727,390/920 is 1/8694920

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

Greatest Common Factor of 84,23,390 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,23,390 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

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

Greatest Common Factor

We found the factors 84,23,390 . The biggest common factor number is the GCF number.
So the greatest common factor 84,23,390 is 1.

Lets's calculate LCM of 65,727,920

5 65, 727, 920
13, 727, 184

∴ So the LCM of the given numbers is 5 x 13 x 727 x 184 = 8694920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8694920

Therefore, the GCF of Fractions 84/65,23/727,390/920 is 1/8694920

Least Common Multiple of 65,727,920 with GCF Formula

Least Common Multiple of 65,727,920 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 65,727,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,727,920) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(65,727,920) x common factors =1 x 5 = 5

LCM(65,727,920) = ( 65 × 727 × 920 ) / 5

LCM(65,727,920) = 43474600 / 5

LCM(65,727,920) = 8694920


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 84/65, 23/727, 390/920

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 84/65, 23/727, 390/920?

Answer: GCF of Numerators as per given numbers 84/65, 23/727, 390/920 is

GCF of Numerators i.e. for 84,23,390 is 1

LCM of denominators i.e. for 65,727,920 is 8694920.

Thus, GCF of Fractions is 1/8694920.Finally, GCF of Fractions for 84/65, 23/727, 390/920 is 1/8694920.