Greatest Common Factor of 278/23, 334/31, 646/419

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 278/23, 334/31, 646/419

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 278/23,334/31,646/419

Given fractions are 278/23,334/31,646/419

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 278,334,646

Greatest Common Factor of Numerators i.e. GCF of 278,334,646 is 2 .

LCM of Denominators means LCM of 23,31,419 as per the given fractions.

LCM of 23,31,419 is 298747 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 278,334,646

GCF of Fractions 278/23,334/31,646/419 is 2/298747

2 278, 334, 646
139, 167, 323

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 278,334,646 By Matching Biggest Common Factor Method

Greatest Common Factor of 278,334,646 By Matching Biggest Common Factor Method

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Greatest Common Factor

We found the factors 278,334,646 . The biggest common factor number is the GCF number.
So the greatest common factor 278,334,646 is 2.

Lets's calculate LCM of 23,31,419

Given numbers has no common factors except 1. So, there LCM is their product i.e 298747

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/298747

Therefore, the GCF of Fractions 278/23,334/31,646/419 is 2/298747

Least Common Multiple of 23,31,419 with GCF Formula

Least Common Multiple of 23,31,419 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 23,31,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,31,419) = 1

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

GCF(23,31,419) x common factors =1 x 1 = 1

LCM(23,31,419) = ( 23 × 31 × 419 ) / 1

LCM(23,31,419) = 298747 / 1

LCM(23,31,419) = 298747


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 278/23, 334/31, 646/419

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 278/23, 334/31, 646/419?

Answer: GCF of Numerators as per given numbers 278/23, 334/31, 646/419 is

GCF of Numerators i.e. for 278,334,646 is 2

LCM of denominators i.e. for 23,31,419 is 298747.

Thus, GCF of Fractions is 2/298747.Finally, GCF of Fractions for 278/23, 334/31, 646/419 is 2/298747.