Greatest Common Factor of 5946/88, 7218/427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5946/88, 7218/427

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 5946/88,7218/427

Given fractions are 5946/88,7218/427

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 5946,7218

Greatest Common Factor of Numerators i.e. GCF of 5946,7218 is 6 .

LCM of Denominators means LCM of 88,427 as per the given fractions.

LCM of 88,427 is 37576 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5946,7218

GCF of Fractions 5946/88,7218/427 is 6/37576

2 5946, 7218
3 2973, 3609
991, 1203

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 5946,7218 By Matching Biggest Common Factor Method

Greatest Common Factor of 5946,7218 By Matching Biggest Common Factor Method

Factors of 5946

List of positive integer factors of 5946 that divides 5946 without a remainder.

1,2,3,6,991,1982,2973,5946

Factors of 7218

List of positive integer factors of 7218 that divides 7218 without a remainder.

1,2,3,6,9,18,401,802,1203,2406,3609,7218

Greatest Common Factor

We found the factors 5946,7218 . The biggest common factor number is the GCF number.
So the greatest common factor 5946,7218 is 6.

Lets's calculate LCM of 88,427

Given numbers has no common factors except 1. So, there LCM is their product i.e 37576

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/37576

Therefore, the GCF of Fractions 5946/88,7218/427 is 6/37576

Least Common Multiple of 88,427 with GCF Formula

Least Common Multiple of 88,427 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 88,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,427) = 1

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

GCF(88,427) x common factors =1 x 1 = 1

LCM(88,427) = ( 88 × 427 ) / 1

LCM(88,427) = 37576 / 1

LCM(88,427) = 37576


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 5946/88, 7218/427

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 5946/88, 7218/427?

Answer: GCF of Numerators as per given numbers 5946/88, 7218/427 is

GCF of Numerators i.e. for 5946,7218 is 6

LCM of denominators i.e. for 88,427 is 37576.

Thus, GCF of Fractions is 6/37576.Finally, GCF of Fractions for 5946/88, 7218/427 is 6/37576.