How to Find GCF of 462/23, 268/3133?

GCF of 462/23, 268/3133

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 462/23, 268/3133 i.e 2/72059 easily. The following is the detailed procedure to determine the greatest common factor of fractions 462/23, 268/3133.

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 462/23,268/3133?

Given fractions are 462/23,268/3133

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 462/23,268/3133, numerators are 462,268

Denominators are 23,3133

The GCF of 462,268 is 2 .

LCM of 23,3133 is 72059.

The greatest common factor of 462/23,268/3133 = [GCF of 462,268]/[LCM of 23,3133]= 2/72059

Therefore, the GCF of 462/23,268/3133 is 2/72059.

Greatest Common Factor of 462,268

To find the highest common factor of 462,268, 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 268 are 1, 2, 4, 67, 134, 268

The HCF of 462,268 is 2.

Lets's calculate GCF of 462,268

Greatest Common Factor (GCF) of 462,268 By Common Division

2	462, 268
	231, 134

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

Greatest Common Factor of 462,268 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 268

1,2,4,67,134,268

Greatest Common Factor

We found the factors 462,268 . The biggest common factor number is the GCF number.
So the greatest common factor 462,268 is 2.

Lets's calculate LCM of 23,3133

Lowest Common Multiple of 23,3133 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 72059

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/72059

Therefore, the GCF of Fractions 462/23,268/3133 is 2/72059

Least Common Multiple of 23,3133 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 23,3133 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,3133) = 1

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

GCF(23,3133) x common factors =1 x 1 = 1

LCM(23,3133) = ( 23 × 3133 ) / 1

LCM(23,3133) = 72059 / 1

LCM(23,3133) = 72059

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FAQs on GCF of Fractions of 462/23, 268/3133

1. What is the HCF of 462,268?

The HCF of 462,268 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 462/23, 268/3133?

Answer: GCF of Numerators as per given numbers 462/23, 268/3133 is

GCF of Numerators i.e. for 462,268 is 2

LCM of denominators i.e. for 23,3133 is 72059.

Thus, GCF of Fractions is 2/72059.Finally, GCF of Fractions for 462/23, 268/3133 is 2/72059.