How to Find GCF of 9581/761, 3881/568?

GCF of 9581/761, 3881/568

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 9581/761, 3881/568 i.e 1/432248 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9581/761, 3881/568.

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 9581/761,3881/568?

Given fractions are 9581/761,3881/568

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 9581/761,3881/568, numerators are 9581,3881

Denominators are 761,568

The GCF of 9581,3881 is 1 .

LCM of 761,568 is 432248.

The greatest common factor of 9581/761,3881/568 = [GCF of 9581,3881]/[LCM of 761,568]= 1/432248

Therefore, the GCF of 9581/761,3881/568 is 1/432248.

Greatest Common Factor of 9581,3881

To find the highest common factor of 9581,3881, we have to find the factors of both numbers and list the highest common factor.

The factors of 9581 are 1, 11, 13, 67, 143, 737, 871, 9581

The factors of 3881 are 1, 3881

The HCF of 9581,3881 is 1.

Lets's calculate GCF of 9581,3881

Greatest Common Factor (GCF) of 9581,3881 By Common Division

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

Greatest Common Factor of 9581,3881 By Matching Biggest Common Factor Method

Now, list down the factors of 9581

1,11,13,67,143,737,871,9581

Now, list down the factors of 3881

1,3881

Greatest Common Factor

We found the factors 9581,3881 . The biggest common factor number is the GCF number.
So the greatest common factor 9581,3881 is 1.

Lets's calculate LCM of 761,568

Lowest Common Multiple of 761,568 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 432248

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/432248

Therefore, the GCF of Fractions 9581/761,3881/568 is 1/432248

Least Common Multiple of 761,568 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 761,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(761,568) = 1

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

GCF(761,568) x common factors =1 x 1 = 1

LCM(761,568) = ( 761 × 568 ) / 1

LCM(761,568) = 432248 / 1

LCM(761,568) = 432248

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FAQs on GCF of Fractions of 9581/761, 3881/568

1. What is the HCF of 9581,3881?

The HCF of 9581,3881 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 9581/761, 3881/568?

Answer: GCF of Numerators as per given numbers 9581/761, 3881/568 is

GCF of Numerators i.e. for 9581,3881 is 1

LCM of denominators i.e. for 761,568 is 432248.

Thus, GCF of Fractions is 1/432248.Finally, GCF of Fractions for 9581/761, 3881/568 is 1/432248.