Greatest Common Factor of 474/34, 221/17, 274/46

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 474/34, 221/17, 274/46

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 474/34,221/17,274/46

Given fractions are 474/34,221/17,274/46

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 474,221,274

Greatest Common Factor of Numerators i.e. GCF of 474,221,274 is 1 .

LCM of Denominators means LCM of 34,17,46 as per the given fractions.

LCM of 34,17,46 is 782 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 474,221,274

GCF of Fractions 474/34,221/17,274/46 is 1/782

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

Greatest Common Factor of 474,221,274 By Matching Biggest Common Factor Method

Greatest Common Factor of 474,221,274 By Matching Biggest Common Factor Method

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

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 474,221,274 . The biggest common factor number is the GCF number.
So the greatest common factor 474,221,274 is 1.

Lets's calculate LCM of 34,17,46

2 34, 17, 46
17 17, 17, 23
1, 1, 23

∴ So the LCM of the given numbers is 2 x 17 x 1 x 1 x 23 = 782

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/782

Therefore, the GCF of Fractions 474/34,221/17,274/46 is 1/782

Least Common Multiple of 34,17,46 with GCF Formula

Least Common Multiple of 34,17,46 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 34,17,46 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,17,46) = 1

common factors(in case of two or more numbers have common factors) = 34

GCF(34,17,46) x common factors =1 x 34 = 34

LCM(34,17,46) = ( 34 × 17 × 46 ) / 34

LCM(34,17,46) = 26588 / 34

LCM(34,17,46) = 782


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 474/34, 221/17, 274/46

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 474/34, 221/17, 274/46?

Answer: GCF of Numerators as per given numbers 474/34, 221/17, 274/46 is

GCF of Numerators i.e. for 474,221,274 is 1

LCM of denominators i.e. for 34,17,46 is 782.

Thus, GCF of Fractions is 1/782.Finally, GCF of Fractions for 474/34, 221/17, 274/46 is 1/782.