How to Find GCF of 1325/281, 9431/8593?

GCF of 1325/281, 9431/8593

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 1325/281, 9431/8593 i.e 1/2414633 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1325/281, 9431/8593.

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 1325/281,9431/8593?

Given fractions are 1325/281,9431/8593

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 1325/281,9431/8593, numerators are 1325,9431

Denominators are 281,8593

The GCF of 1325,9431 is 1 .

LCM of 281,8593 is 2414633.

The greatest common factor of 1325/281,9431/8593 = [GCF of 1325,9431]/[LCM of 281,8593]= 1/2414633

Therefore, the GCF of 1325/281,9431/8593 is 1/2414633.

Greatest Common Factor of 1325,9431

To find the highest common factor of 1325,9431, we have to find the factors of both numbers and list the highest common factor.

The factors of 1325 are 1, 5, 25, 53, 265, 1325

The factors of 9431 are 1, 9431

The HCF of 1325,9431 is 1.

Lets's calculate GCF of 1325,9431

Greatest Common Factor (GCF) of 1325,9431 By Common Division

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

Greatest Common Factor of 1325,9431 By Matching Biggest Common Factor Method

Now, list down the factors of 1325

1,5,25,53,265,1325

Now, list down the factors of 9431

1,9431

Greatest Common Factor

We found the factors 1325,9431 . The biggest common factor number is the GCF number.
So the greatest common factor 1325,9431 is 1.

Lets's calculate LCM of 281,8593

Lowest Common Multiple of 281,8593 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2414633

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2414633

Therefore, the GCF of Fractions 1325/281,9431/8593 is 1/2414633

Least Common Multiple of 281,8593 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 281,8593 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(281,8593) = 1

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

GCF(281,8593) x common factors =1 x 1 = 1

LCM(281,8593) = ( 281 × 8593 ) / 1

LCM(281,8593) = 2414633 / 1

LCM(281,8593) = 2414633

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FAQs on GCF of Fractions of 1325/281, 9431/8593

1. What is the HCF of 1325,9431?

The HCF of 1325,9431 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 1325/281, 9431/8593?

Answer: GCF of Numerators as per given numbers 1325/281, 9431/8593 is

GCF of Numerators i.e. for 1325,9431 is 1

LCM of denominators i.e. for 281,8593 is 2414633.

Thus, GCF of Fractions is 1/2414633.Finally, GCF of Fractions for 1325/281, 9431/8593 is 1/2414633.