Greatest Common Factor of 7/12, 3/90, 65/85, 58/210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7/12, 3/90, 65/85, 58/210

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 7/12,3/90,65/85,58/210

Given fractions are 7/12,3/90,65/85,58/210

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 7,3,65,58

Greatest Common Factor of Numerators i.e. GCF of 7,3,65,58 is 1 .

LCM of Denominators means LCM of 12,90,85,210 as per the given fractions.

LCM of 12,90,85,210 is 21420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7,3,65,58

GCF of Fractions 7/12,3/90,65/85,58/210 is 1/21420

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

Greatest Common Factor of 7,3,65,58 By Matching Biggest Common Factor Method

Greatest Common Factor of 7,3,65,58 By Matching Biggest Common Factor Method

Factors of 7

List of positive integer factors of 7 that divides 7 without a remainder.

1,7

Factors of 3

List of positive integer factors of 3 that divides 3 without a remainder.

1,3

Factors of 65

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

1,5,13,65

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Greatest Common Factor

We found the factors 7,3,65,58 . The biggest common factor number is the GCF number.
So the greatest common factor 7,3,65,58 is 1.

Lets's calculate LCM of 12,90,85,210

2 12, 90, 85, 210
3 6, 45, 85, 105
5 2, 15, 85, 35
2, 3, 17, 7

∴ So the LCM of the given numbers is 2 x 3 x 5 x 2 x 3 x 17 x 7 = 21420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21420

Therefore, the GCF of Fractions 7/12,3/90,65/85,58/210 is 1/21420

Least Common Multiple of 12,90,85,210 with GCF Formula

Least Common Multiple of 12,90,85,210 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 12,90,85,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,90,85,210) = 1

common factors(in case of two or more numbers have common factors) = 900

GCF(12,90,85,210) x common factors =1 x 900 = 900

LCM(12,90,85,210) = ( 12 × 90 × 85 × 210 ) / 900

LCM(12,90,85,210) = 19278000 / 900

LCM(12,90,85,210) = 21420


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 7/12, 3/90, 65/85, 58/210

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 7/12, 3/90, 65/85, 58/210?

Answer: GCF of Numerators as per given numbers 7/12, 3/90, 65/85, 58/210 is

GCF of Numerators i.e. for 7,3,65,58 is 1

LCM of denominators i.e. for 12,90,85,210 is 21420.

Thus, GCF of Fractions is 1/21420.Finally, GCF of Fractions for 7/12, 3/90, 65/85, 58/210 is 1/21420.