Greatest Common Factor of 266/66, 3045/658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 266/66, 3045/658

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 266/66,3045/658

Given fractions are 266/66,3045/658

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 266,3045

Greatest Common Factor of Numerators i.e. GCF of 266,3045 is 7 .

LCM of Denominators means LCM of 66,658 as per the given fractions.

LCM of 66,658 is 21714 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 266,3045

GCF of Fractions 266/66,3045/658 is 7/21714

7 266, 3045
38, 435

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 266,3045 By Matching Biggest Common Factor Method

Greatest Common Factor of 266,3045 By Matching Biggest Common Factor Method

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Factors of 3045

List of positive integer factors of 3045 that divides 3045 without a remainder.

1,3,5,7,15,21,29,35,87,105,145,203,435,609,1015,3045

Greatest Common Factor

We found the factors 266,3045 . The biggest common factor number is the GCF number.
So the greatest common factor 266,3045 is 7.

Lets's calculate LCM of 66,658

2 66, 658
33, 329

∴ So the LCM of the given numbers is 2 x 33 x 329 = 21714

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/21714

Therefore, the GCF of Fractions 266/66,3045/658 is 7/21714

Least Common Multiple of 66,658 with GCF Formula

Least Common Multiple of 66,658 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 66,658 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,658) = 2

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

GCF(66,658) x common factors =2 x 1 = 2

LCM(66,658) = ( 66 × 658 ) / 2

LCM(66,658) = 43428 / 2

LCM(66,658) = 21714


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 266/66, 3045/658

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 266/66, 3045/658?

Answer: GCF of Numerators as per given numbers 266/66, 3045/658 is

GCF of Numerators i.e. for 266,3045 is 7

LCM of denominators i.e. for 66,658 is 21714.

Thus, GCF of Fractions is 7/21714.Finally, GCF of Fractions for 266/66, 3045/658 is 7/21714.