Greatest Common Factor of 349/418, 274/824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 349/418, 274/824

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 349/418,274/824

Given fractions are 349/418,274/824

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 349,274

Greatest Common Factor of Numerators i.e. GCF of 349,274 is 1 .

LCM of Denominators means LCM of 418,824 as per the given fractions.

LCM of 418,824 is 172216 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 349,274

GCF of Fractions 349/418,274/824 is 1/172216

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

Greatest Common Factor of 349,274 By Matching Biggest Common Factor Method

Greatest Common Factor of 349,274 By Matching Biggest Common Factor Method

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Greatest Common Factor

We found the factors 349,274 . The biggest common factor number is the GCF number.
So the greatest common factor 349,274 is 1.

Lets's calculate LCM of 418,824

2 418, 824
209, 412

∴ So the LCM of the given numbers is 2 x 209 x 412 = 172216

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/172216

Therefore, the GCF of Fractions 349/418,274/824 is 1/172216

Least Common Multiple of 418,824 with GCF Formula

Least Common Multiple of 418,824 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 418,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(418,824) = 2

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

GCF(418,824) x common factors =2 x 1 = 2

LCM(418,824) = ( 418 × 824 ) / 2

LCM(418,824) = 344432 / 2

LCM(418,824) = 172216


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 349/418, 274/824

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 349/418, 274/824?

Answer: GCF of Numerators as per given numbers 349/418, 274/824 is

GCF of Numerators i.e. for 349,274 is 1

LCM of denominators i.e. for 418,824 is 172216.

Thus, GCF of Fractions is 1/172216.Finally, GCF of Fractions for 349/418, 274/824 is 1/172216.