Greatest Common Factor of 1326/215, 1053/670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1326/215, 1053/670

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 1326/215,1053/670

Given fractions are 1326/215,1053/670

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 1326,1053

Greatest Common Factor of Numerators i.e. GCF of 1326,1053 is 39 .

LCM of Denominators means LCM of 215,670 as per the given fractions.

LCM of 215,670 is 28810 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1326,1053

GCF of Fractions 1326/215,1053/670 is 39/28810

3 1326, 1053
13 442, 351
34, 27

∴ So the GCF of the given numbers is 3 x 13 = 39

Greatest Common Factor of 1326,1053 By Matching Biggest Common Factor Method

Greatest Common Factor of 1326,1053 By Matching Biggest Common Factor Method

Factors of 1326

List of positive integer factors of 1326 that divides 1326 without a remainder.

1,2,3,6,13,17,26,34,39,51,78,102,221,442,663,1326

Factors of 1053

List of positive integer factors of 1053 that divides 1053 without a remainder.

1,3,9,13,27,39,81,117,351,1053

Greatest Common Factor

We found the factors 1326,1053 . The biggest common factor number is the GCF number.
So the greatest common factor 1326,1053 is 39.

Lets's calculate LCM of 215,670

5 215, 670
43, 134

∴ So the LCM of the given numbers is 5 x 43 x 134 = 28810

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 39/28810

Therefore, the GCF of Fractions 1326/215,1053/670 is 39/28810

Least Common Multiple of 215,670 with GCF Formula

Least Common Multiple of 215,670 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 215,670 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(215,670) = 5

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

GCF(215,670) x common factors =5 x 1 = 5

LCM(215,670) = ( 215 × 670 ) / 5

LCM(215,670) = 144050 / 5

LCM(215,670) = 28810


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 1326/215, 1053/670

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 1326/215, 1053/670?

Answer: GCF of Numerators as per given numbers 1326/215, 1053/670 is

GCF of Numerators i.e. for 1326,1053 is 39

LCM of denominators i.e. for 215,670 is 28810.

Thus, GCF of Fractions is 39/28810.Finally, GCF of Fractions for 1326/215, 1053/670 is 39/28810.