Greatest Common Factor of 6/96, 64/86, 66/515, 505/674

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6/96, 64/86, 66/515, 505/674

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 6/96,64/86,66/515,505/674

Given fractions are 6/96,64/86,66/515,505/674

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 6,64,66,505

Greatest Common Factor of Numerators i.e. GCF of 6,64,66,505 is 1 .

LCM of Denominators means LCM of 96,86,515,674 as per the given fractions.

LCM of 96,86,515,674 is 716435040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6,64,66,505

GCF of Fractions 6/96,64/86,66/515,505/674 is 1/716435040

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

Greatest Common Factor of 6,64,66,505 By Matching Biggest Common Factor Method

Greatest Common Factor of 6,64,66,505 By Matching Biggest Common Factor Method

Factors of 6

List of positive integer factors of 6 that divides 6 without a remainder.

1,2,3,6

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 505

List of positive integer factors of 505 that divides 505 without a remainder.

1,5,101,505

Greatest Common Factor

We found the factors 6,64,66,505 . The biggest common factor number is the GCF number.
So the greatest common factor 6,64,66,505 is 1.

Lets's calculate LCM of 96,86,515,674

2 96, 86, 515, 674
48, 43, 515, 337

∴ So the LCM of the given numbers is 2 x 48 x 43 x 515 x 337 = 716435040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/716435040

Therefore, the GCF of Fractions 6/96,64/86,66/515,505/674 is 1/716435040

Least Common Multiple of 96,86,515,674 with GCF Formula

Least Common Multiple of 96,86,515,674 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 96,86,515,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,86,515,674) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(96,86,515,674) x common factors =1 x 4 = 4

LCM(96,86,515,674) = ( 96 × 86 × 515 × 674 ) / 4

LCM(96,86,515,674) = 2865740160 / 4

LCM(96,86,515,674) = 716435040


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 6/96, 64/86, 66/515, 505/674

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 6/96, 64/86, 66/515, 505/674?

Answer: GCF of Numerators as per given numbers 6/96, 64/86, 66/515, 505/674 is

GCF of Numerators i.e. for 6,64,66,505 is 1

LCM of denominators i.e. for 96,86,515,674 is 716435040.

Thus, GCF of Fractions is 1/716435040.Finally, GCF of Fractions for 6/96, 64/86, 66/515, 505/674 is 1/716435040.