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GCF of 5493/647, 9431/4069

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 5493/647, 9431/4069 i.e 1/2632643 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5493/647, 9431/4069.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 5493/647,9431/4069?

Given fractions are 5493/647,9431/4069

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 5493/647,9431/4069, numerators are 5493,9431

Denominators are 647,4069

The GCF of 5493,9431 is 1 .

LCM of 647,4069 is 2632643.

The greatest common factor of 5493/647,9431/4069 = [GCF of 5493,9431]/[LCM of 647,4069]= 1/2632643

Therefore, the GCF of 5493/647,9431/4069 is 1/2632643.

Greatest Common Factor of 5493,9431

To find the highest common factor of 5493,9431, we have to find the factors of both numbers and list the highest common factor.

The factors of 5493 are 1, 3, 1831, 5493

The factors of 9431 are 1, 9431

The HCF of 5493,9431 is 1.

Lets's calculate GCF of 5493,9431

Greatest Common Factor (GCF) of 5493,9431 By Common Division

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

Greatest Common Factor of 5493,9431 By Matching Biggest Common Factor Method

Greatest Common Factor of 5493,9431 By Matching Biggest Common Factor Method

Now, list down the factors of 5493

:

1,3,1831,5493

Now, list down the factors of 9431

:

1,9431

Greatest Common Factor

We found the factors 5493,9431 . The biggest common factor number is the GCF number.
So the greatest common factor 5493,9431 is 1.

Lets's calculate LCM of 647,4069

Lowest Common Multiple of 647,4069 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2632643

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2632643

Therefore, the GCF of Fractions 5493/647,9431/4069 is 1/2632643

Least Common Multiple of 647,4069 with GCF Formula

Least Common Multiple of 647,4069 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 647,4069 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(647,4069) = 1

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

GCF(647,4069) x common factors =1 x 1 = 1

LCM(647,4069) = ( 647 × 4069 ) / 1

LCM(647,4069) = 2632643 / 1

LCM(647,4069) = 2632643


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FAQs on GCF of Fractions of 5493/647, 9431/4069

1. What is the HCF of 5493,9431?

The HCF of 5493,9431 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 5493/647, 9431/4069?

Answer: GCF of Numerators as per given numbers 5493/647, 9431/4069 is

GCF of Numerators i.e. for 5493,9431 is 1

LCM of denominators i.e. for 647,4069 is 2632643.

Thus, GCF of Fractions is 1/2632643.Finally, GCF of Fractions for 5493/647, 9431/4069 is 1/2632643.