Greatest Common Factor of 8370/166, 3278/1556

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8370/166, 3278/1556

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 8370/166,3278/1556

Given fractions are 8370/166,3278/1556

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 8370,3278

Greatest Common Factor of Numerators i.e. GCF of 8370,3278 is 2 .

LCM of Denominators means LCM of 166,1556 as per the given fractions.

LCM of 166,1556 is 129148 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8370,3278

GCF of Fractions 8370/166,3278/1556 is 2/129148

2 8370, 3278
4185, 1639

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

Greatest Common Factor of 8370,3278 By Matching Biggest Common Factor Method

Greatest Common Factor of 8370,3278 By Matching Biggest Common Factor Method

Factors of 8370

List of positive integer factors of 8370 that divides 8370 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,31,45,54,62,90,93,135,155,186,270,279,310,465,558,837,930,1395,1674,2790,4185,8370

Factors of 3278

List of positive integer factors of 3278 that divides 3278 without a remainder.

1,2,11,22,149,298,1639,3278

Greatest Common Factor

We found the factors 8370,3278 . The biggest common factor number is the GCF number.
So the greatest common factor 8370,3278 is 2.

Lets's calculate LCM of 166,1556

2 166, 1556
83, 778

∴ So the LCM of the given numbers is 2 x 83 x 778 = 129148

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/129148

Therefore, the GCF of Fractions 8370/166,3278/1556 is 2/129148

Least Common Multiple of 166,1556 with GCF Formula

Least Common Multiple of 166,1556 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 166,1556 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(166,1556) = 2

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

GCF(166,1556) x common factors =2 x 1 = 2

LCM(166,1556) = ( 166 × 1556 ) / 2

LCM(166,1556) = 258296 / 2

LCM(166,1556) = 129148


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 8370/166, 3278/1556

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 8370/166, 3278/1556?

Answer: GCF of Numerators as per given numbers 8370/166, 3278/1556 is

GCF of Numerators i.e. for 8370,3278 is 2

LCM of denominators i.e. for 166,1556 is 129148.

Thus, GCF of Fractions is 2/129148.Finally, GCF of Fractions for 8370/166, 3278/1556 is 2/129148.