How to Find GCF of 9767/456, 3339/8024?

GCF of 9767/456, 3339/8024

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 9767/456, 3339/8024 i.e 1/457368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9767/456, 3339/8024.

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 9767/456,3339/8024?

Given fractions are 9767/456,3339/8024

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 9767/456,3339/8024, numerators are 9767,3339

Denominators are 456,8024

The GCF of 9767,3339 is 1 .

LCM of 456,8024 is 457368.

The greatest common factor of 9767/456,3339/8024 = [GCF of 9767,3339]/[LCM of 456,8024]= 1/457368

Therefore, the GCF of 9767/456,3339/8024 is 1/457368.

Greatest Common Factor of 9767,3339

To find the highest common factor of 9767,3339, we have to find the factors of both numbers and list the highest common factor.

The factors of 9767 are 1, 9767

The factors of 3339 are 1, 3, 7, 9, 21, 53, 63, 159, 371, 477, 1113, 3339

The HCF of 9767,3339 is 1.

Lets's calculate GCF of 9767,3339

Greatest Common Factor (GCF) of 9767,3339 By Common Division

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

Greatest Common Factor of 9767,3339 By Matching Biggest Common Factor Method

Now, list down the factors of 9767

1,9767

Now, list down the factors of 3339

1,3,7,9,21,53,63,159,371,477,1113,3339

Greatest Common Factor

We found the factors 9767,3339 . The biggest common factor number is the GCF number.
So the greatest common factor 9767,3339 is 1.

Lets's calculate LCM of 456,8024

Lowest Common Multiple of 456,8024 using Common Division

2	456, 8024
2	228, 4012
2	114, 2006
	57, 1003

∴ So the LCM of the given numbers is 2 x 2 x 2 x 57 x 1003 = 457368

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/457368

Therefore, the GCF of Fractions 9767/456,3339/8024 is 1/457368

Least Common Multiple of 456,8024 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 456,8024 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(456,8024) = 8

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

GCF(456,8024) x common factors =8 x 1 = 8

LCM(456,8024) = ( 456 × 8024 ) / 8

LCM(456,8024) = 3658944 / 8

LCM(456,8024) = 457368

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FAQs on GCF of Fractions of 9767/456, 3339/8024

1. What is the HCF of 9767,3339?

The HCF of 9767,3339 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 9767/456, 3339/8024?

Answer: GCF of Numerators as per given numbers 9767/456, 3339/8024 is

GCF of Numerators i.e. for 9767,3339 is 1

LCM of denominators i.e. for 456,8024 is 457368.

Thus, GCF of Fractions is 1/457368.Finally, GCF of Fractions for 9767/456, 3339/8024 is 1/457368.