Greatest Common Factor of 4387/978, 6454/984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4387/978, 6454/984

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 4387/978,6454/984

Given fractions are 4387/978,6454/984

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 4387,6454

Greatest Common Factor of Numerators i.e. GCF of 4387,6454 is 1 .

LCM of Denominators means LCM of 978,984 as per the given fractions.

LCM of 978,984 is 160392 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4387,6454

GCF of Fractions 4387/978,6454/984 is 1/160392

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

Greatest Common Factor of 4387,6454 By Matching Biggest Common Factor Method

Greatest Common Factor of 4387,6454 By Matching Biggest Common Factor Method

Factors of 4387

List of positive integer factors of 4387 that divides 4387 without a remainder.

1,41,107,4387

Factors of 6454

List of positive integer factors of 6454 that divides 6454 without a remainder.

1,2,7,14,461,922,3227,6454

Greatest Common Factor

We found the factors 4387,6454 . The biggest common factor number is the GCF number.
So the greatest common factor 4387,6454 is 1.

Lets's calculate LCM of 978,984

2 978, 984
3 489, 492
163, 164

∴ So the LCM of the given numbers is 2 x 3 x 163 x 164 = 160392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/160392

Therefore, the GCF of Fractions 4387/978,6454/984 is 1/160392

Least Common Multiple of 978,984 with GCF Formula

Least Common Multiple of 978,984 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 978,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(978,984) = 6

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

GCF(978,984) x common factors =6 x 1 = 6

LCM(978,984) = ( 978 × 984 ) / 6

LCM(978,984) = 962352 / 6

LCM(978,984) = 160392


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 4387/978, 6454/984

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 4387/978, 6454/984?

Answer: GCF of Numerators as per given numbers 4387/978, 6454/984 is

GCF of Numerators i.e. for 4387,6454 is 1

LCM of denominators i.e. for 978,984 is 160392.

Thus, GCF of Fractions is 1/160392.Finally, GCF of Fractions for 4387/978, 6454/984 is 1/160392.