Greatest Common Factor of 7/22, 72/10, 68/230, 401/621

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7/22, 72/10, 68/230, 401/621

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 7/22,72/10,68/230,401/621

Given fractions are 7/22,72/10,68/230,401/621

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 7,72,68,401

Greatest Common Factor of Numerators i.e. GCF of 7,72,68,401 is 1 .

LCM of Denominators means LCM of 22,10,230,621 as per the given fractions.

LCM of 22,10,230,621 is 68310 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7,72,68,401

GCF of Fractions 7/22,72/10,68/230,401/621 is 1/68310

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

Greatest Common Factor of 7,72,68,401 By Matching Biggest Common Factor Method

Greatest Common Factor of 7,72,68,401 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 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 68

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

1,2,4,17,34,68

Factors of 401

List of positive integer factors of 401 that divides 401 without a remainder.

1,401

Greatest Common Factor

We found the factors 7,72,68,401 . The biggest common factor number is the GCF number.
So the greatest common factor 7,72,68,401 is 1.

Lets's calculate LCM of 22,10,230,621

2 22, 10, 230, 621
5 11, 5, 115, 621
23 11, 1, 23, 621
11, 1, 1, 27

∴ So the LCM of the given numbers is 2 x 5 x 23 x 11 x 1 x 1 x 27 = 68310

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/68310

Therefore, the GCF of Fractions 7/22,72/10,68/230,401/621 is 1/68310

Least Common Multiple of 22,10,230,621 with GCF Formula

Least Common Multiple of 22,10,230,621 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 22,10,230,621 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,10,230,621) = 1

common factors(in case of two or more numbers have common factors) = 460

GCF(22,10,230,621) x common factors =1 x 460 = 460

LCM(22,10,230,621) = ( 22 × 10 × 230 × 621 ) / 460

LCM(22,10,230,621) = 31422600 / 460

LCM(22,10,230,621) = 68310


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 7/22, 72/10, 68/230, 401/621

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 7/22, 72/10, 68/230, 401/621?

Answer: GCF of Numerators as per given numbers 7/22, 72/10, 68/230, 401/621 is

GCF of Numerators i.e. for 7,72,68,401 is 1

LCM of denominators i.e. for 22,10,230,621 is 68310.

Thus, GCF of Fractions is 1/68310.Finally, GCF of Fractions for 7/22, 72/10, 68/230, 401/621 is 1/68310.