Greatest Common Factor of 84/312, 326/200, 461/716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 84/312, 326/200, 461/716

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 84/312,326/200,461/716

Given fractions are 84/312,326/200,461/716

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 84,326,461

Greatest Common Factor of Numerators i.e. GCF of 84,326,461 is 1 .

LCM of Denominators means LCM of 312,200,716 as per the given fractions.

LCM of 312,200,716 is 1396200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 84,326,461

GCF of Fractions 84/312,326/200,461/716 is 1/1396200

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

Greatest Common Factor of 84,326,461 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,326,461 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 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Factors of 461

List of positive integer factors of 461 that divides 461 without a remainder.

1,461

Greatest Common Factor

We found the factors 84,326,461 . The biggest common factor number is the GCF number.
So the greatest common factor 84,326,461 is 1.

Lets's calculate LCM of 312,200,716

2 312, 200, 716
2 156, 100, 358
2 78, 50, 179
39, 25, 179

∴ So the LCM of the given numbers is 2 x 2 x 2 x 39 x 25 x 179 = 1396200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1396200

Therefore, the GCF of Fractions 84/312,326/200,461/716 is 1/1396200

Least Common Multiple of 312,200,716 with GCF Formula

Least Common Multiple of 312,200,716 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 312,200,716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,200,716) = 4

common factors(in case of two or more numbers have common factors) = 8

GCF(312,200,716) x common factors =4 x 8 = 32

LCM(312,200,716) = ( 312 × 200 × 716 ) / 32

LCM(312,200,716) = 44678400 / 32

LCM(312,200,716) = 1396200


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 84/312, 326/200, 461/716

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 84/312, 326/200, 461/716?

Answer: GCF of Numerators as per given numbers 84/312, 326/200, 461/716 is

GCF of Numerators i.e. for 84,326,461 is 1

LCM of denominators i.e. for 312,200,716 is 1396200.

Thus, GCF of Fractions is 1/1396200.Finally, GCF of Fractions for 84/312, 326/200, 461/716 is 1/1396200.