How to Find GCF of 466/468, 6507/8784?

GCF of 466/468, 6507/8784

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 466/468, 6507/8784 i.e 1/114192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 466/468, 6507/8784.

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 466/468,6507/8784?

Given fractions are 466/468,6507/8784

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 466/468,6507/8784, numerators are 466,6507

Denominators are 468,8784

The GCF of 466,6507 is 1 .

LCM of 468,8784 is 114192.

The greatest common factor of 466/468,6507/8784 = [GCF of 466,6507]/[LCM of 468,8784]= 1/114192

Therefore, the GCF of 466/468,6507/8784 is 1/114192.

Greatest Common Factor of 466,6507

To find the highest common factor of 466,6507, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 6507 are 1, 3, 9, 27, 241, 723, 2169, 6507

The HCF of 466,6507 is 1.

Lets's calculate GCF of 466,6507

Greatest Common Factor (GCF) of 466,6507 By Common Division

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

Greatest Common Factor of 466,6507 By Matching Biggest Common Factor Method

Now, list down the factors of 466

1,2,233,466

Now, list down the factors of 6507

1,3,9,27,241,723,2169,6507

Greatest Common Factor

We found the factors 466,6507 . The biggest common factor number is the GCF number.
So the greatest common factor 466,6507 is 1.

Lets's calculate LCM of 468,8784

Lowest Common Multiple of 468,8784 using Common Division

2	468, 8784
2	234, 4392
3	117, 2196
3	39, 732
	13, 244

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 13 x 244 = 114192

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/114192

Therefore, the GCF of Fractions 466/468,6507/8784 is 1/114192

Least Common Multiple of 468,8784 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 468,8784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(468,8784) = 36

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

GCF(468,8784) x common factors =36 x 1 = 36

LCM(468,8784) = ( 468 × 8784 ) / 36

LCM(468,8784) = 4110912 / 36

LCM(468,8784) = 114192

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FAQs on GCF of Fractions of 466/468, 6507/8784

1. What is the HCF of 466,6507?

The HCF of 466,6507 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 466/468, 6507/8784?

Answer: GCF of Numerators as per given numbers 466/468, 6507/8784 is

GCF of Numerators i.e. for 466,6507 is 1

LCM of denominators i.e. for 468,8784 is 114192.

Thus, GCF of Fractions is 1/114192.Finally, GCF of Fractions for 466/468, 6507/8784 is 1/114192.