Greatest Common Factor of 84/32, 384/53, 856/986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 84/32, 384/53, 856/986

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 84/32,384/53,856/986

Given fractions are 84/32,384/53,856/986

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 84,384,856

Greatest Common Factor of Numerators i.e. GCF of 84,384,856 is 4 .

LCM of Denominators means LCM of 32,53,986 as per the given fractions.

LCM of 32,53,986 is 836128 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 84,384,856

GCF of Fractions 84/32,384/53,856/986 is 4/836128

2 84, 384, 856
2 42, 192, 428
21, 96, 214

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 84,384,856 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,384,856 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Greatest Common Factor

We found the factors 84,384,856 . The biggest common factor number is the GCF number.
So the greatest common factor 84,384,856 is 4.

Lets's calculate LCM of 32,53,986

2 32, 53, 986
16, 53, 493

∴ So the LCM of the given numbers is 2 x 16 x 53 x 493 = 836128

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/836128

Therefore, the GCF of Fractions 84/32,384/53,856/986 is 4/836128

Least Common Multiple of 32,53,986 with GCF Formula

Least Common Multiple of 32,53,986 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 32,53,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,53,986) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(32,53,986) x common factors =1 x 2 = 2

LCM(32,53,986) = ( 32 × 53 × 986 ) / 2

LCM(32,53,986) = 1672256 / 2

LCM(32,53,986) = 836128


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 84/32, 384/53, 856/986

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 84/32, 384/53, 856/986?

Answer: GCF of Numerators as per given numbers 84/32, 384/53, 856/986 is

GCF of Numerators i.e. for 84,384,856 is 4

LCM of denominators i.e. for 32,53,986 is 836128.

Thus, GCF of Fractions is 4/836128.Finally, GCF of Fractions for 84/32, 384/53, 856/986 is 4/836128.