How to Find GCF of 8797/428, 5613/615?

GCF of 8797/428, 5613/615

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 8797/428, 5613/615 i.e 1/263220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8797/428, 5613/615.

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 8797/428,5613/615?

Given fractions are 8797/428,5613/615

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 8797/428,5613/615, numerators are 8797,5613

Denominators are 428,615

The GCF of 8797,5613 is 1 .

LCM of 428,615 is 263220.

The greatest common factor of 8797/428,5613/615 = [GCF of 8797,5613]/[LCM of 428,615]= 1/263220

Therefore, the GCF of 8797/428,5613/615 is 1/263220.

Greatest Common Factor of 8797,5613

To find the highest common factor of 8797,5613, we have to find the factors of both numbers and list the highest common factor.

The factors of 8797 are 1, 19, 463, 8797

The factors of 5613 are 1, 3, 1871, 5613

The HCF of 8797,5613 is 1.

Lets's calculate GCF of 8797,5613

Greatest Common Factor (GCF) of 8797,5613 By Common Division

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

Greatest Common Factor of 8797,5613 By Matching Biggest Common Factor Method

Now, list down the factors of 8797

1,19,463,8797

Now, list down the factors of 5613

1,3,1871,5613

Greatest Common Factor

We found the factors 8797,5613 . The biggest common factor number is the GCF number.
So the greatest common factor 8797,5613 is 1.

Lets's calculate LCM of 428,615

Lowest Common Multiple of 428,615 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 263220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/263220

Therefore, the GCF of Fractions 8797/428,5613/615 is 1/263220

Least Common Multiple of 428,615 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 428,615 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,615) = 1

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

GCF(428,615) x common factors =1 x 1 = 1

LCM(428,615) = ( 428 × 615 ) / 1

LCM(428,615) = 263220 / 1

LCM(428,615) = 263220

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FAQs on GCF of Fractions of 8797/428, 5613/615

1. What is the HCF of 8797,5613?

The HCF of 8797,5613 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 8797/428, 5613/615?

Answer: GCF of Numerators as per given numbers 8797/428, 5613/615 is

GCF of Numerators i.e. for 8797,5613 is 1

LCM of denominators i.e. for 428,615 is 263220.

Thus, GCF of Fractions is 1/263220.Finally, GCF of Fractions for 8797/428, 5613/615 is 1/263220.