Greatest Common Factor of 61/662, 5984/7144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 61/662, 5984/7144

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 61/662,5984/7144

Given fractions are 61/662,5984/7144

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 61,5984

Greatest Common Factor of Numerators i.e. GCF of 61,5984 is 1 .

LCM of Denominators means LCM of 662,7144 as per the given fractions.

LCM of 662,7144 is 2364664 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 61,5984

GCF of Fractions 61/662,5984/7144 is 1/2364664

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

Greatest Common Factor of 61,5984 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,5984 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 5984

List of positive integer factors of 5984 that divides 5984 without a remainder.

1,2,4,8,11,16,17,22,32,34,44,68,88,136,176,187,272,352,374,544,748,1496,2992,5984

Greatest Common Factor

We found the factors 61,5984 . The biggest common factor number is the GCF number.
So the greatest common factor 61,5984 is 1.

Lets's calculate LCM of 662,7144

2 662, 7144
331, 3572

∴ So the LCM of the given numbers is 2 x 331 x 3572 = 2364664

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2364664

Therefore, the GCF of Fractions 61/662,5984/7144 is 1/2364664

Least Common Multiple of 662,7144 with GCF Formula

Least Common Multiple of 662,7144 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 662,7144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(662,7144) = 2

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

GCF(662,7144) x common factors =2 x 1 = 2

LCM(662,7144) = ( 662 × 7144 ) / 2

LCM(662,7144) = 4729328 / 2

LCM(662,7144) = 2364664


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 61/662, 5984/7144

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 61/662, 5984/7144?

Answer: GCF of Numerators as per given numbers 61/662, 5984/7144 is

GCF of Numerators i.e. for 61,5984 is 1

LCM of denominators i.e. for 662,7144 is 2364664.

Thus, GCF of Fractions is 1/2364664.Finally, GCF of Fractions for 61/662, 5984/7144 is 1/2364664.