Greatest Common Factor of 381/84, 870/343

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 381/84, 870/343

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 381/84,870/343

Given fractions are 381/84,870/343

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 381,870

Greatest Common Factor of Numerators i.e. GCF of 381,870 is 3 .

LCM of Denominators means LCM of 84,343 as per the given fractions.

LCM of 84,343 is 4116 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 381,870

GCF of Fractions 381/84,870/343 is 3/4116

3 381, 870
127, 290

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 381,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 381,870 By Matching Biggest Common Factor Method

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 381,870 . The biggest common factor number is the GCF number.
So the greatest common factor 381,870 is 3.

Lets's calculate LCM of 84,343

7 84, 343
12, 49

∴ So the LCM of the given numbers is 7 x 12 x 49 = 4116

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4116

Therefore, the GCF of Fractions 381/84,870/343 is 3/4116

Least Common Multiple of 84,343 with GCF Formula

Least Common Multiple of 84,343 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 84,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,343) = 7

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

GCF(84,343) x common factors =7 x 1 = 7

LCM(84,343) = ( 84 × 343 ) / 7

LCM(84,343) = 28812 / 7

LCM(84,343) = 4116


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 381/84, 870/343

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 381/84, 870/343?

Answer: GCF of Numerators as per given numbers 381/84, 870/343 is

GCF of Numerators i.e. for 381,870 is 3

LCM of denominators i.e. for 84,343 is 4116.

Thus, GCF of Fractions is 3/4116.Finally, GCF of Fractions for 381/84, 870/343 is 3/4116.