How to Find GCF of 2467/404, 8545/1536?

GCF of 2467/404, 8545/1536

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 2467/404, 8545/1536 i.e 1/155136 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2467/404, 8545/1536.

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 2467/404,8545/1536?

Given fractions are 2467/404,8545/1536

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 2467/404,8545/1536, numerators are 2467,8545

Denominators are 404,1536

The GCF of 2467,8545 is 1 .

LCM of 404,1536 is 155136.

The greatest common factor of 2467/404,8545/1536 = [GCF of 2467,8545]/[LCM of 404,1536]= 1/155136

Therefore, the GCF of 2467/404,8545/1536 is 1/155136.

Greatest Common Factor of 2467,8545

To find the highest common factor of 2467,8545, we have to find the factors of both numbers and list the highest common factor.

The factors of 2467 are 1, 2467

The factors of 8545 are 1, 5, 1709, 8545

The HCF of 2467,8545 is 1.

Lets's calculate GCF of 2467,8545

Greatest Common Factor (GCF) of 2467,8545 By Common Division

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

Greatest Common Factor of 2467,8545 By Matching Biggest Common Factor Method

Now, list down the factors of 2467

1,2467

Now, list down the factors of 8545

1,5,1709,8545

Greatest Common Factor

We found the factors 2467,8545 . The biggest common factor number is the GCF number.
So the greatest common factor 2467,8545 is 1.

Lets's calculate LCM of 404,1536

Lowest Common Multiple of 404,1536 using Common Division

2	404, 1536
2	202, 768
	101, 384

∴ So the LCM of the given numbers is 2 x 2 x 101 x 384 = 155136

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/155136

Therefore, the GCF of Fractions 2467/404,8545/1536 is 1/155136

Least Common Multiple of 404,1536 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 404,1536 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,1536) = 4

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

GCF(404,1536) x common factors =4 x 1 = 4

LCM(404,1536) = ( 404 × 1536 ) / 4

LCM(404,1536) = 620544 / 4

LCM(404,1536) = 155136

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FAQs on GCF of Fractions of 2467/404, 8545/1536

1. What is the HCF of 2467,8545?

The HCF of 2467,8545 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 2467/404, 8545/1536?

Answer: GCF of Numerators as per given numbers 2467/404, 8545/1536 is

GCF of Numerators i.e. for 2467,8545 is 1

LCM of denominators i.e. for 404,1536 is 155136.

Thus, GCF of Fractions is 1/155136.Finally, GCF of Fractions for 2467/404, 8545/1536 is 1/155136.