Greatest Common Factor of 65/919, 68/170, 586/120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 65/919, 68/170, 586/120

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 65/919,68/170,586/120

Given fractions are 65/919,68/170,586/120

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 65,68,586

Greatest Common Factor of Numerators i.e. GCF of 65,68,586 is 1 .

LCM of Denominators means LCM of 919,170,120 as per the given fractions.

LCM of 919,170,120 is 1874760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 65,68,586

GCF of Fractions 65/919,68/170,586/120 is 1/1874760

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

Greatest Common Factor of 65,68,586 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,68,586 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

Greatest Common Factor

We found the factors 65,68,586 . The biggest common factor number is the GCF number.
So the greatest common factor 65,68,586 is 1.

Lets's calculate LCM of 919,170,120

2 919, 170, 120
5 919, 85, 60
919, 17, 12

∴ So the LCM of the given numbers is 2 x 5 x 919 x 17 x 12 = 1874760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1874760

Therefore, the GCF of Fractions 65/919,68/170,586/120 is 1/1874760

Least Common Multiple of 919,170,120 with GCF Formula

Least Common Multiple of 919,170,120 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 919,170,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(919,170,120) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(919,170,120) x common factors =1 x 10 = 10

LCM(919,170,120) = ( 919 × 170 × 120 ) / 10

LCM(919,170,120) = 18747600 / 10

LCM(919,170,120) = 1874760


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 65/919, 68/170, 586/120

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 65/919, 68/170, 586/120?

Answer: GCF of Numerators as per given numbers 65/919, 68/170, 586/120 is

GCF of Numerators i.e. for 65,68,586 is 1

LCM of denominators i.e. for 919,170,120 is 1874760.

Thus, GCF of Fractions is 1/1874760.Finally, GCF of Fractions for 65/919, 68/170, 586/120 is 1/1874760.