How to Find GCF of 3487/864, 9017/7664?

GCF of 3487/864, 9017/7664

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 3487/864, 9017/7664 i.e 1/413856 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3487/864, 9017/7664.

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 3487/864,9017/7664?

Given fractions are 3487/864,9017/7664

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 3487/864,9017/7664, numerators are 3487,9017

Denominators are 864,7664

The GCF of 3487,9017 is 1 .

LCM of 864,7664 is 413856.

The greatest common factor of 3487/864,9017/7664 = [GCF of 3487,9017]/[LCM of 864,7664]= 1/413856

Therefore, the GCF of 3487/864,9017/7664 is 1/413856.

Greatest Common Factor of 3487,9017

To find the highest common factor of 3487,9017, we have to find the factors of both numbers and list the highest common factor.

The factors of 3487 are 1, 11, 317, 3487

The factors of 9017 are 1, 71, 127, 9017

The HCF of 3487,9017 is 1.

Lets's calculate GCF of 3487,9017

Greatest Common Factor (GCF) of 3487,9017 By Common Division

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

Greatest Common Factor of 3487,9017 By Matching Biggest Common Factor Method

Now, list down the factors of 3487

1,11,317,3487

Now, list down the factors of 9017

1,71,127,9017

Greatest Common Factor

We found the factors 3487,9017 . The biggest common factor number is the GCF number.
So the greatest common factor 3487,9017 is 1.

Lets's calculate LCM of 864,7664

Lowest Common Multiple of 864,7664 using Common Division

2	864, 7664
2	432, 3832
2	216, 1916
2	108, 958
	54, 479

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 54 x 479 = 413856

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/413856

Therefore, the GCF of Fractions 3487/864,9017/7664 is 1/413856

Least Common Multiple of 864,7664 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 864,7664 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(864,7664) = 16

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

GCF(864,7664) x common factors =16 x 1 = 16

LCM(864,7664) = ( 864 × 7664 ) / 16

LCM(864,7664) = 6621696 / 16

LCM(864,7664) = 413856

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FAQs on GCF of Fractions of 3487/864, 9017/7664

1. What is the HCF of 3487,9017?

The HCF of 3487,9017 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 3487/864, 9017/7664?

Answer: GCF of Numerators as per given numbers 3487/864, 9017/7664 is

GCF of Numerators i.e. for 3487,9017 is 1

LCM of denominators i.e. for 864,7664 is 413856.

Thus, GCF of Fractions is 1/413856.Finally, GCF of Fractions for 3487/864, 9017/7664 is 1/413856.