Greatest Common Factor of 1365/762, 8370/827

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1365/762, 8370/827

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 1365/762,8370/827

Given fractions are 1365/762,8370/827

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 1365,8370

Greatest Common Factor of Numerators i.e. GCF of 1365,8370 is 15 .

LCM of Denominators means LCM of 762,827 as per the given fractions.

LCM of 762,827 is 630174 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1365,8370

GCF of Fractions 1365/762,8370/827 is 15/630174

3 1365, 8370
5 455, 2790
91, 558

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 1365,8370 By Matching Biggest Common Factor Method

Greatest Common Factor of 1365,8370 By Matching Biggest Common Factor Method

Factors of 1365

List of positive integer factors of 1365 that divides 1365 without a remainder.

1,3,5,7,13,15,21,35,39,65,91,105,195,273,455,1365

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

Greatest Common Factor

We found the factors 1365,8370 . The biggest common factor number is the GCF number.
So the greatest common factor 1365,8370 is 15.

Lets's calculate LCM of 762,827

Given numbers has no common factors except 1. So, there LCM is their product i.e 630174

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/630174

Therefore, the GCF of Fractions 1365/762,8370/827 is 15/630174

Least Common Multiple of 762,827 with GCF Formula

Least Common Multiple of 762,827 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 762,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(762,827) = 1

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

GCF(762,827) x common factors =1 x 1 = 1

LCM(762,827) = ( 762 × 827 ) / 1

LCM(762,827) = 630174 / 1

LCM(762,827) = 630174


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 1365/762, 8370/827

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 1365/762, 8370/827?

Answer: GCF of Numerators as per given numbers 1365/762, 8370/827 is

GCF of Numerators i.e. for 1365,8370 is 15

LCM of denominators i.e. for 762,827 is 630174.

Thus, GCF of Fractions is 15/630174.Finally, GCF of Fractions for 1365/762, 8370/827 is 15/630174.