How to Find GCF of 22/42, 84/526, 466/313?

GCF of 22/42, 84/526, 466/313

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 22/42, 84/526, 466/313 i.e 2/3457398 easily. The following is the detailed procedure to determine the greatest common factor of fractions 22/42, 84/526, 466/313.

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 22/42,84/526,466/313?

Given fractions are 22/42,84/526,466/313

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 22/42,84/526,466/313, numerators are 22,84,466

Denominators are 42,526,313

The GCF of 22,84,466 is 2 .

LCM of 42,526,313 is 3457398.

The greatest common factor of 22/42,84/526,466/313 = [GCF of 22,84,466]/[LCM of 42,526,313]= 2/3457398

Therefore, the GCF of 22/42,84/526,466/313 is 2/3457398.

Greatest Common Factor of 22,84,466

To find the highest common factor of 22,84,466, we have to find the factors of both numbers and list the highest common factor.

The factors of 22 are 1, 2, 11, 22

The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

The factors of 466 are 1, 2, 233, 466

The HCF of 22,84,466 is 2.

Lets's calculate GCF of 22,84,466

Greatest Common Factor (GCF) of 22,84,466 By Common Division

2	22, 84, 466
	11, 42, 233

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

Greatest Common Factor of 22,84,466 By Matching Biggest Common Factor Method

Now, list down the factors of 22

1,2,11,22

Now, list down the factors of 84

1,2,3,4,6,7,12,14,21,28,42,84

Now, list down the factors of 466

1,2,233,466

Greatest Common Factor

We found the factors 22,84,466 . The biggest common factor number is the GCF number.
So the greatest common factor 22,84,466 is 2.

Lets's calculate LCM of 42,526,313

Lowest Common Multiple of 42,526,313 using Common Division

2	42, 526, 313
	21, 263, 313

∴ So the LCM of the given numbers is 2 x 21 x 263 x 313 = 3457398

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3457398

Therefore, the GCF of Fractions 22/42,84/526,466/313 is 2/3457398

Least Common Multiple of 42,526,313 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 42,526,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,526,313) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(42,526,313) x common factors =1 x 2 = 2

LCM(42,526,313) = ( 42 × 526 × 313 ) / 2

LCM(42,526,313) = 6914796 / 2

LCM(42,526,313) = 3457398

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 22/42, 84/526, 466/313

1. What is the HCF of 22,84,466?

The HCF of 22,84,466 is 2

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 22/42, 84/526, 466/313?

Answer: GCF of Numerators as per given numbers 22/42, 84/526, 466/313 is

GCF of Numerators i.e. for 22,84,466 is 2

LCM of denominators i.e. for 42,526,313 is 3457398.

Thus, GCF of Fractions is 2/3457398.Finally, GCF of Fractions for 22/42, 84/526, 466/313 is 2/3457398.