How to Find GCF of 8637/815, 9220/8989?

GCF of 8637/815, 9220/8989

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 8637/815, 9220/8989 i.e 1/7326035 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8637/815, 9220/8989.

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 8637/815,9220/8989?

Given fractions are 8637/815,9220/8989

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 8637/815,9220/8989, numerators are 8637,9220

Denominators are 815,8989

The GCF of 8637,9220 is 1 .

LCM of 815,8989 is 7326035.

The greatest common factor of 8637/815,9220/8989 = [GCF of 8637,9220]/[LCM of 815,8989]= 1/7326035

Therefore, the GCF of 8637/815,9220/8989 is 1/7326035.

Greatest Common Factor of 8637,9220

To find the highest common factor of 8637,9220, we have to find the factors of both numbers and list the highest common factor.

The factors of 8637 are 1, 3, 2879, 8637

The factors of 9220 are 1, 2, 4, 5, 10, 20, 461, 922, 1844, 2305, 4610, 9220

The HCF of 8637,9220 is 1.

Lets's calculate GCF of 8637,9220

Greatest Common Factor (GCF) of 8637,9220 By Common Division

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

Greatest Common Factor of 8637,9220 By Matching Biggest Common Factor Method

Now, list down the factors of 8637

1,3,2879,8637

Now, list down the factors of 9220

1,2,4,5,10,20,461,922,1844,2305,4610,9220

Greatest Common Factor

We found the factors 8637,9220 . The biggest common factor number is the GCF number.
So the greatest common factor 8637,9220 is 1.

Lets's calculate LCM of 815,8989

Lowest Common Multiple of 815,8989 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7326035

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7326035

Therefore, the GCF of Fractions 8637/815,9220/8989 is 1/7326035

Least Common Multiple of 815,8989 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 815,8989 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(815,8989) = 1

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

GCF(815,8989) x common factors =1 x 1 = 1

LCM(815,8989) = ( 815 × 8989 ) / 1

LCM(815,8989) = 7326035 / 1

LCM(815,8989) = 7326035

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FAQs on GCF of Fractions of 8637/815, 9220/8989

1. What is the HCF of 8637,9220?

The HCF of 8637,9220 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 8637/815, 9220/8989?

Answer: GCF of Numerators as per given numbers 8637/815, 9220/8989 is

GCF of Numerators i.e. for 8637,9220 is 1

LCM of denominators i.e. for 815,8989 is 7326035.

Thus, GCF of Fractions is 1/7326035.Finally, GCF of Fractions for 8637/815, 9220/8989 is 1/7326035.