Greatest Common Factor of 212/39, 395/68, 700/715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 212/39, 395/68, 700/715

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 212/39,395/68,700/715

Given fractions are 212/39,395/68,700/715

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 212,395,700

Greatest Common Factor of Numerators i.e. GCF of 212,395,700 is 1 .

LCM of Denominators means LCM of 39,68,715 as per the given fractions.

LCM of 39,68,715 is 145860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 212,395,700

GCF of Fractions 212/39,395/68,700/715 is 1/145860

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

Greatest Common Factor of 212,395,700 By Matching Biggest Common Factor Method

Greatest Common Factor of 212,395,700 By Matching Biggest Common Factor Method

Factors of 212

List of positive integer factors of 212 that divides 212 without a remainder.

1,2,4,53,106,212

Factors of 395

List of positive integer factors of 395 that divides 395 without a remainder.

1,5,79,395

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Greatest Common Factor

We found the factors 212,395,700 . The biggest common factor number is the GCF number.
So the greatest common factor 212,395,700 is 1.

Lets's calculate LCM of 39,68,715

13 39, 68, 715
3, 68, 55

∴ So the LCM of the given numbers is 13 x 3 x 68 x 55 = 145860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/145860

Therefore, the GCF of Fractions 212/39,395/68,700/715 is 1/145860

Least Common Multiple of 39,68,715 with GCF Formula

Least Common Multiple of 39,68,715 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 39,68,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,68,715) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(39,68,715) x common factors =1 x 13 = 13

LCM(39,68,715) = ( 39 × 68 × 715 ) / 13

LCM(39,68,715) = 1896180 / 13

LCM(39,68,715) = 145860


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 212/39, 395/68, 700/715

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 212/39, 395/68, 700/715?

Answer: GCF of Numerators as per given numbers 212/39, 395/68, 700/715 is

GCF of Numerators i.e. for 212,395,700 is 1

LCM of denominators i.e. for 39,68,715 is 145860.

Thus, GCF of Fractions is 1/145860.Finally, GCF of Fractions for 212/39, 395/68, 700/715 is 1/145860.