Greatest Common Factor of 84/106, 3866/1126

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 84/106, 3866/1126

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 84/106,3866/1126

Given fractions are 84/106,3866/1126

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 84,3866

Greatest Common Factor of Numerators i.e. GCF of 84,3866 is 2 .

LCM of Denominators means LCM of 106,1126 as per the given fractions.

LCM of 106,1126 is 59678 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 84,3866

GCF of Fractions 84/106,3866/1126 is 2/59678

2 84, 3866
42, 1933

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

Greatest Common Factor of 84,3866 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,3866 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 3866

List of positive integer factors of 3866 that divides 3866 without a remainder.

1,2,1933,3866

Greatest Common Factor

We found the factors 84,3866 . The biggest common factor number is the GCF number.
So the greatest common factor 84,3866 is 2.

Lets's calculate LCM of 106,1126

2 106, 1126
53, 563

∴ So the LCM of the given numbers is 2 x 53 x 563 = 59678

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/59678

Therefore, the GCF of Fractions 84/106,3866/1126 is 2/59678

Least Common Multiple of 106,1126 with GCF Formula

Least Common Multiple of 106,1126 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 106,1126 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(106,1126) = 2

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

GCF(106,1126) x common factors =2 x 1 = 2

LCM(106,1126) = ( 106 × 1126 ) / 2

LCM(106,1126) = 119356 / 2

LCM(106,1126) = 59678


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 84/106, 3866/1126

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 84/106, 3866/1126?

Answer: GCF of Numerators as per given numbers 84/106, 3866/1126 is

GCF of Numerators i.e. for 84,3866 is 2

LCM of denominators i.e. for 106,1126 is 59678.

Thus, GCF of Fractions is 2/59678.Finally, GCF of Fractions for 84/106, 3866/1126 is 2/59678.