Greatest Common Factor of 663/377, 343/754, 104/714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 663/377, 343/754, 104/714

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 663/377,343/754,104/714

Given fractions are 663/377,343/754,104/714

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 663,343,104

Greatest Common Factor of Numerators i.e. GCF of 663,343,104 is 1 .

LCM of Denominators means LCM of 377,754,714 as per the given fractions.

LCM of 377,754,714 is 269178 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 663,343,104

GCF of Fractions 663/377,343/754,104/714 is 1/269178

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

Greatest Common Factor of 663,343,104 By Matching Biggest Common Factor Method

Greatest Common Factor of 663,343,104 By Matching Biggest Common Factor Method

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Factors of 343

List of positive integer factors of 343 that divides 343 without a remainder.

1,7,49,343

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Greatest Common Factor

We found the factors 663,343,104 . The biggest common factor number is the GCF number.
So the greatest common factor 663,343,104 is 1.

Lets's calculate LCM of 377,754,714

2 377, 754, 714
13 377, 377, 357
29 29, 29, 357
1, 1, 357

∴ So the LCM of the given numbers is 2 x 13 x 29 x 1 x 1 x 357 = 269178

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/269178

Therefore, the GCF of Fractions 663/377,343/754,104/714 is 1/269178

Least Common Multiple of 377,754,714 with GCF Formula

Least Common Multiple of 377,754,714 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 377,754,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(377,754,714) = 1

common factors(in case of two or more numbers have common factors) = 754

GCF(377,754,714) x common factors =1 x 754 = 754

LCM(377,754,714) = ( 377 × 754 × 714 ) / 754

LCM(377,754,714) = 202960212 / 754

LCM(377,754,714) = 269178


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 663/377, 343/754, 104/714

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 663/377, 343/754, 104/714?

Answer: GCF of Numerators as per given numbers 663/377, 343/754, 104/714 is

GCF of Numerators i.e. for 663,343,104 is 1

LCM of denominators i.e. for 377,754,714 is 269178.

Thus, GCF of Fractions is 1/269178.Finally, GCF of Fractions for 663/377, 343/754, 104/714 is 1/269178.