Greatest Common Factor of 359/68, 8421/948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 359/68, 8421/948

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 359/68,8421/948

Given fractions are 359/68,8421/948

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 359,8421

Greatest Common Factor of Numerators i.e. GCF of 359,8421 is 1 .

LCM of Denominators means LCM of 68,948 as per the given fractions.

LCM of 68,948 is 16116 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 359,8421

GCF of Fractions 359/68,8421/948 is 1/16116

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

Greatest Common Factor of 359,8421 By Matching Biggest Common Factor Method

Greatest Common Factor of 359,8421 By Matching Biggest Common Factor Method

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1,359

Factors of 8421

List of positive integer factors of 8421 that divides 8421 without a remainder.

1,3,7,21,401,1203,2807,8421

Greatest Common Factor

We found the factors 359,8421 . The biggest common factor number is the GCF number.
So the greatest common factor 359,8421 is 1.

Lets's calculate LCM of 68,948

2 68, 948
2 34, 474
17, 237

∴ So the LCM of the given numbers is 2 x 2 x 17 x 237 = 16116

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16116

Therefore, the GCF of Fractions 359/68,8421/948 is 1/16116

Least Common Multiple of 68,948 with GCF Formula

Least Common Multiple of 68,948 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 68,948 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,948) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(68,948) x common factors =4 x 1 = 4

LCM(68,948) = ( 68 × 948 ) / 4

LCM(68,948) = 64464 / 4

LCM(68,948) = 16116


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 359/68, 8421/948

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 359/68, 8421/948?

Answer: GCF of Numerators as per given numbers 359/68, 8421/948 is

GCF of Numerators i.e. for 359,8421 is 1

LCM of denominators i.e. for 68,948 is 16116.

Thus, GCF of Fractions is 1/16116.Finally, GCF of Fractions for 359/68, 8421/948 is 1/16116.