Greatest Common Factor of 1186/55, 3162/506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1186/55, 3162/506

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 1186/55,3162/506

Given fractions are 1186/55,3162/506

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 1186,3162

Greatest Common Factor of Numerators i.e. GCF of 1186,3162 is 2 .

LCM of Denominators means LCM of 55,506 as per the given fractions.

LCM of 55,506 is 2530 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1186,3162

GCF of Fractions 1186/55,3162/506 is 2/2530

2 1186, 3162
593, 1581

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

Greatest Common Factor of 1186,3162 By Matching Biggest Common Factor Method

Greatest Common Factor of 1186,3162 By Matching Biggest Common Factor Method

Factors of 1186

List of positive integer factors of 1186 that divides 1186 without a remainder.

1,2,593,1186

Factors of 3162

List of positive integer factors of 3162 that divides 3162 without a remainder.

1,2,3,6,17,31,34,51,62,93,102,186,527,1054,1581,3162

Greatest Common Factor

We found the factors 1186,3162 . The biggest common factor number is the GCF number.
So the greatest common factor 1186,3162 is 2.

Lets's calculate LCM of 55,506

11 55, 506
5, 46

∴ So the LCM of the given numbers is 11 x 5 x 46 = 2530

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2530

Therefore, the GCF of Fractions 1186/55,3162/506 is 2/2530

Least Common Multiple of 55,506 with GCF Formula

Least Common Multiple of 55,506 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 55,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,506) = 11

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

GCF(55,506) x common factors =11 x 1 = 11

LCM(55,506) = ( 55 × 506 ) / 11

LCM(55,506) = 27830 / 11

LCM(55,506) = 2530


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 1186/55, 3162/506

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 1186/55, 3162/506?

Answer: GCF of Numerators as per given numbers 1186/55, 3162/506 is

GCF of Numerators i.e. for 1186,3162 is 2

LCM of denominators i.e. for 55,506 is 2530.

Thus, GCF of Fractions is 2/2530.Finally, GCF of Fractions for 1186/55, 3162/506 is 2/2530.