How to Find GCF of 5422/293, 9071/8438?

GCF of 5422/293, 9071/8438

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 5422/293, 9071/8438 i.e 1/2472334 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5422/293, 9071/8438.

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 5422/293,9071/8438?

Given fractions are 5422/293,9071/8438

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 5422/293,9071/8438, numerators are 5422,9071

Denominators are 293,8438

The GCF of 5422,9071 is 1 .

LCM of 293,8438 is 2472334.

The greatest common factor of 5422/293,9071/8438 = [GCF of 5422,9071]/[LCM of 293,8438]= 1/2472334

Therefore, the GCF of 5422/293,9071/8438 is 1/2472334.

Greatest Common Factor of 5422,9071

To find the highest common factor of 5422,9071, we have to find the factors of both numbers and list the highest common factor.

The factors of 5422 are 1, 2, 2711, 5422

The factors of 9071 are 1, 47, 193, 9071

The HCF of 5422,9071 is 1.

Lets's calculate GCF of 5422,9071

Greatest Common Factor (GCF) of 5422,9071 By Common Division

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

Greatest Common Factor of 5422,9071 By Matching Biggest Common Factor Method

Now, list down the factors of 5422

1,2,2711,5422

Now, list down the factors of 9071

1,47,193,9071

Greatest Common Factor

We found the factors 5422,9071 . The biggest common factor number is the GCF number.
So the greatest common factor 5422,9071 is 1.

Lets's calculate LCM of 293,8438

Lowest Common Multiple of 293,8438 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2472334

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2472334

Therefore, the GCF of Fractions 5422/293,9071/8438 is 1/2472334

Least Common Multiple of 293,8438 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 293,8438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(293,8438) = 1

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

GCF(293,8438) x common factors =1 x 1 = 1

LCM(293,8438) = ( 293 × 8438 ) / 1

LCM(293,8438) = 2472334 / 1

LCM(293,8438) = 2472334

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FAQs on GCF of Fractions of 5422/293, 9071/8438

1. What is the HCF of 5422,9071?

The HCF of 5422,9071 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 5422/293, 9071/8438?

Answer: GCF of Numerators as per given numbers 5422/293, 9071/8438 is

GCF of Numerators i.e. for 5422,9071 is 1

LCM of denominators i.e. for 293,8438 is 2472334.

Thus, GCF of Fractions is 1/2472334.Finally, GCF of Fractions for 5422/293, 9071/8438 is 1/2472334.