How to Find GCF of 8467/458, 5696/2589?

GCF of 8467/458, 5696/2589

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 8467/458, 5696/2589 i.e 1/1185762 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8467/458, 5696/2589.

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 8467/458,5696/2589?

Given fractions are 8467/458,5696/2589

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 8467/458,5696/2589, numerators are 8467,5696

Denominators are 458,2589

The GCF of 8467,5696 is 1 .

LCM of 458,2589 is 1185762.

The greatest common factor of 8467/458,5696/2589 = [GCF of 8467,5696]/[LCM of 458,2589]= 1/1185762

Therefore, the GCF of 8467/458,5696/2589 is 1/1185762.

Greatest Common Factor of 8467,5696

To find the highest common factor of 8467,5696, we have to find the factors of both numbers and list the highest common factor.

The factors of 8467 are 1, 8467

The factors of 5696 are 1, 2, 4, 8, 16, 32, 64, 89, 178, 356, 712, 1424, 2848, 5696

The HCF of 8467,5696 is 1.

Lets's calculate GCF of 8467,5696

Greatest Common Factor (GCF) of 8467,5696 By Common Division

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

Greatest Common Factor of 8467,5696 By Matching Biggest Common Factor Method

Now, list down the factors of 8467

1,8467

Now, list down the factors of 5696

1,2,4,8,16,32,64,89,178,356,712,1424,2848,5696

Greatest Common Factor

We found the factors 8467,5696 . The biggest common factor number is the GCF number.
So the greatest common factor 8467,5696 is 1.

Lets's calculate LCM of 458,2589

Lowest Common Multiple of 458,2589 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1185762

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1185762

Therefore, the GCF of Fractions 8467/458,5696/2589 is 1/1185762

Least Common Multiple of 458,2589 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 458,2589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(458,2589) = 1

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

GCF(458,2589) x common factors =1 x 1 = 1

LCM(458,2589) = ( 458 × 2589 ) / 1

LCM(458,2589) = 1185762 / 1

LCM(458,2589) = 1185762

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FAQs on GCF of Fractions of 8467/458, 5696/2589

1. What is the HCF of 8467,5696?

The HCF of 8467,5696 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 8467/458, 5696/2589?

Answer: GCF of Numerators as per given numbers 8467/458, 5696/2589 is

GCF of Numerators i.e. for 8467,5696 is 1

LCM of denominators i.e. for 458,2589 is 1185762.

Thus, GCF of Fractions is 1/1185762.Finally, GCF of Fractions for 8467/458, 5696/2589 is 1/1185762.