How to Find GCF of 585/457, 8609/8076?

GCF of 585/457, 8609/8076

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 585/457, 8609/8076 i.e 1/3690732 easily. The following is the detailed procedure to determine the greatest common factor of fractions 585/457, 8609/8076.

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 585/457,8609/8076?

Given fractions are 585/457,8609/8076

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 585/457,8609/8076, numerators are 585,8609

Denominators are 457,8076

The GCF of 585,8609 is 1 .

LCM of 457,8076 is 3690732.

The greatest common factor of 585/457,8609/8076 = [GCF of 585,8609]/[LCM of 457,8076]= 1/3690732

Therefore, the GCF of 585/457,8609/8076 is 1/3690732.

Greatest Common Factor of 585,8609

To find the highest common factor of 585,8609, we have to find the factors of both numbers and list the highest common factor.

The factors of 585 are 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

The factors of 8609 are 1, 8609

The HCF of 585,8609 is 1.

Lets's calculate GCF of 585,8609

Greatest Common Factor (GCF) of 585,8609 By Common Division

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

Greatest Common Factor of 585,8609 By Matching Biggest Common Factor Method

Now, list down the factors of 585

1,3,5,9,13,15,39,45,65,117,195,585

Now, list down the factors of 8609

1,8609

Greatest Common Factor

We found the factors 585,8609 . The biggest common factor number is the GCF number.
So the greatest common factor 585,8609 is 1.

Lets's calculate LCM of 457,8076

Lowest Common Multiple of 457,8076 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3690732

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3690732

Therefore, the GCF of Fractions 585/457,8609/8076 is 1/3690732

Least Common Multiple of 457,8076 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 457,8076 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(457,8076) = 1

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

GCF(457,8076) x common factors =1 x 1 = 1

LCM(457,8076) = ( 457 × 8076 ) / 1

LCM(457,8076) = 3690732 / 1

LCM(457,8076) = 3690732

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FAQs on GCF of Fractions of 585/457, 8609/8076

1. What is the HCF of 585,8609?

The HCF of 585,8609 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 585/457, 8609/8076?

Answer: GCF of Numerators as per given numbers 585/457, 8609/8076 is

GCF of Numerators i.e. for 585,8609 is 1

LCM of denominators i.e. for 457,8076 is 3690732.

Thus, GCF of Fractions is 1/3690732.Finally, GCF of Fractions for 585/457, 8609/8076 is 1/3690732.