How to Find GCF of 74/472, 268/384, 221/958?

GCF of 74/472, 268/384, 221/958

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 74/472, 268/384, 221/958 i.e 1/10852224 easily. The following is the detailed procedure to determine the greatest common factor of fractions 74/472, 268/384, 221/958.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 74/472,268/384,221/958?

Given fractions are 74/472,268/384,221/958

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 74/472,268/384,221/958, numerators are 74,268,221

Denominators are 472,384,958

The GCF of 74,268,221 is 1 .

LCM of 472,384,958 is 10852224.

The greatest common factor of 74/472,268/384,221/958 = [GCF of 74,268,221]/[LCM of 472,384,958]= 1/10852224

Therefore, the GCF of 74/472,268/384,221/958 is 1/10852224.

Greatest Common Factor of 74,268,221

To find the highest common factor of 74,268,221, we have to find the factors of both numbers and list the highest common factor.

The factors of 74 are 1, 2, 37, 74

The factors of 268 are 1, 2, 4, 67, 134, 268

The factors of 221 are 1, 13, 17, 221

The HCF of 74,268,221 is 1.

Lets's calculate GCF of 74,268,221

Greatest Common Factor (GCF) of 74,268,221 By Common Division

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

Greatest Common Factor of 74,268,221 By Matching Biggest Common Factor Method

Now, list down the factors of 74

1,2,37,74

Now, list down the factors of 268

1,2,4,67,134,268

Now, list down the factors of 221

1,13,17,221

Greatest Common Factor

We found the factors 74,268,221 . The biggest common factor number is the GCF number.
So the greatest common factor 74,268,221 is 1.

Lets's calculate LCM of 472,384,958

Lowest Common Multiple of 472,384,958 using Common Division

2	472, 384, 958
2	236, 192, 479
2	118, 96, 479
	59, 48, 479

∴ So the LCM of the given numbers is 2 x 2 x 2 x 59 x 48 x 479 = 10852224

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10852224

Therefore, the GCF of Fractions 74/472,268/384,221/958 is 1/10852224

Least Common Multiple of 472,384,958 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 472,384,958 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(472,384,958) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(472,384,958) x common factors =2 x 8 = 16

LCM(472,384,958) = ( 472 × 384 × 958 ) / 16

LCM(472,384,958) = 173635584 / 16

LCM(472,384,958) = 10852224

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 74/472, 268/384, 221/958

1. What is the HCF of 74,268,221?

The HCF of 74,268,221 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 74/472, 268/384, 221/958?

Answer: GCF of Numerators as per given numbers 74/472, 268/384, 221/958 is

GCF of Numerators i.e. for 74,268,221 is 1

LCM of denominators i.e. for 472,384,958 is 10852224.

Thus, GCF of Fractions is 1/10852224.Finally, GCF of Fractions for 74/472, 268/384, 221/958 is 1/10852224.