Greatest Common Factor of 365/11, 648/98, 693/342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 365/11, 648/98, 693/342

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 365/11,648/98,693/342

Given fractions are 365/11,648/98,693/342

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 365,648,693

Greatest Common Factor of Numerators i.e. GCF of 365,648,693 is 1 .

LCM of Denominators means LCM of 11,98,342 as per the given fractions.

LCM of 11,98,342 is 184338 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 365,648,693

GCF of Fractions 365/11,648/98,693/342 is 1/184338

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 365,648,693 By Matching Biggest Common Factor Method

Greatest Common Factor of 365,648,693 By Matching Biggest Common Factor Method

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Greatest Common Factor

We found the factors 365,648,693 . The biggest common factor number is the GCF number.
So the greatest common factor 365,648,693 is 1.

Lets's calculate LCM of 11,98,342

2 11, 98, 342
11, 49, 171

∴ So the LCM of the given numbers is 2 x 11 x 49 x 171 = 184338

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/184338

Therefore, the GCF of Fractions 365/11,648/98,693/342 is 1/184338

Least Common Multiple of 11,98,342 with GCF Formula

Least Common Multiple of 11,98,342 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 11,98,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,98,342) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(11,98,342) x common factors =1 x 2 = 2

LCM(11,98,342) = ( 11 × 98 × 342 ) / 2

LCM(11,98,342) = 368676 / 2

LCM(11,98,342) = 184338


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 365/11, 648/98, 693/342

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 365/11, 648/98, 693/342?

Answer: GCF of Numerators as per given numbers 365/11, 648/98, 693/342 is

GCF of Numerators i.e. for 365,648,693 is 1

LCM of denominators i.e. for 11,98,342 is 184338.

Thus, GCF of Fractions is 1/184338.Finally, GCF of Fractions for 365/11, 648/98, 693/342 is 1/184338.