How to Find GCF of 462/28, 227/4684?

GCF of 462/28, 227/4684

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 462/28, 227/4684 i.e 1/32788 easily. The following is the detailed procedure to determine the greatest common factor of fractions 462/28, 227/4684.

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 462/28,227/4684?

Given fractions are 462/28,227/4684

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 462/28,227/4684, numerators are 462,227

Denominators are 28,4684

The GCF of 462,227 is 1 .

LCM of 28,4684 is 32788.

The greatest common factor of 462/28,227/4684 = [GCF of 462,227]/[LCM of 28,4684]= 1/32788

Therefore, the GCF of 462/28,227/4684 is 1/32788.

Greatest Common Factor of 462,227

To find the highest common factor of 462,227, we have to find the factors of both numbers and list the highest common factor.

The factors of 462 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

The factors of 227 are 1, 227

The HCF of 462,227 is 1.

Lets's calculate GCF of 462,227

Greatest Common Factor (GCF) of 462,227 By Common Division

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

Greatest Common Factor of 462,227 By Matching Biggest Common Factor Method

Now, list down the factors of 462

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Now, list down the factors of 227

1,227

Greatest Common Factor

We found the factors 462,227 . The biggest common factor number is the GCF number.
So the greatest common factor 462,227 is 1.

Lets's calculate LCM of 28,4684

Lowest Common Multiple of 28,4684 using Common Division

2	28, 4684
2	14, 2342
	7, 1171

∴ So the LCM of the given numbers is 2 x 2 x 7 x 1171 = 32788

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32788

Therefore, the GCF of Fractions 462/28,227/4684 is 1/32788

Least Common Multiple of 28,4684 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 28,4684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,4684) = 4

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

GCF(28,4684) x common factors =4 x 1 = 4

LCM(28,4684) = ( 28 × 4684 ) / 4

LCM(28,4684) = 131152 / 4

LCM(28,4684) = 32788

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FAQs on GCF of Fractions of 462/28, 227/4684

1. What is the HCF of 462,227?

The HCF of 462,227 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 462/28, 227/4684?

Answer: GCF of Numerators as per given numbers 462/28, 227/4684 is

GCF of Numerators i.e. for 462,227 is 1

LCM of denominators i.e. for 28,4684 is 32788.

Thus, GCF of Fractions is 1/32788.Finally, GCF of Fractions for 462/28, 227/4684 is 1/32788.