How to Find GCF of 8985/588, 9157/2497?

GCF of 8985/588, 9157/2497

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 8985/588, 9157/2497 i.e 1/1468236 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8985/588, 9157/2497.

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 8985/588,9157/2497?

Given fractions are 8985/588,9157/2497

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 8985/588,9157/2497, numerators are 8985,9157

Denominators are 588,2497

The GCF of 8985,9157 is 1 .

LCM of 588,2497 is 1468236.

The greatest common factor of 8985/588,9157/2497 = [GCF of 8985,9157]/[LCM of 588,2497]= 1/1468236

Therefore, the GCF of 8985/588,9157/2497 is 1/1468236.

Greatest Common Factor of 8985,9157

To find the highest common factor of 8985,9157, we have to find the factors of both numbers and list the highest common factor.

The factors of 8985 are 1, 3, 5, 15, 599, 1797, 2995, 8985

The factors of 9157 are 1, 9157

The HCF of 8985,9157 is 1.

Lets's calculate GCF of 8985,9157

Greatest Common Factor (GCF) of 8985,9157 By Common Division

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

Greatest Common Factor of 8985,9157 By Matching Biggest Common Factor Method

Now, list down the factors of 8985

1,3,5,15,599,1797,2995,8985

Now, list down the factors of 9157

1,9157

Greatest Common Factor

We found the factors 8985,9157 . The biggest common factor number is the GCF number.
So the greatest common factor 8985,9157 is 1.

Lets's calculate LCM of 588,2497

Lowest Common Multiple of 588,2497 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1468236

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1468236

Therefore, the GCF of Fractions 8985/588,9157/2497 is 1/1468236

Least Common Multiple of 588,2497 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 588,2497 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(588,2497) = 1

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

GCF(588,2497) x common factors =1 x 1 = 1

LCM(588,2497) = ( 588 × 2497 ) / 1

LCM(588,2497) = 1468236 / 1

LCM(588,2497) = 1468236

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FAQs on GCF of Fractions of 8985/588, 9157/2497

1. What is the HCF of 8985,9157?

The HCF of 8985,9157 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 8985/588, 9157/2497?

Answer: GCF of Numerators as per given numbers 8985/588, 9157/2497 is

GCF of Numerators i.e. for 8985,9157 is 1

LCM of denominators i.e. for 588,2497 is 1468236.

Thus, GCF of Fractions is 1/1468236.Finally, GCF of Fractions for 8985/588, 9157/2497 is 1/1468236.