How to Find GCF of 580/59, 383/8606?

GCF of 580/59, 383/8606

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 580/59, 383/8606 i.e 1/507754 easily. The following is the detailed procedure to determine the greatest common factor of fractions 580/59, 383/8606.

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 580/59,383/8606?

Given fractions are 580/59,383/8606

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 580/59,383/8606, numerators are 580,383

Denominators are 59,8606

The GCF of 580,383 is 1 .

LCM of 59,8606 is 507754.

The greatest common factor of 580/59,383/8606 = [GCF of 580,383]/[LCM of 59,8606]= 1/507754

Therefore, the GCF of 580/59,383/8606 is 1/507754.

Greatest Common Factor of 580,383

To find the highest common factor of 580,383, we have to find the factors of both numbers and list the highest common factor.

The factors of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

The factors of 383 are 1, 383

The HCF of 580,383 is 1.

Lets's calculate GCF of 580,383

Greatest Common Factor (GCF) of 580,383 By Common Division

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

Greatest Common Factor of 580,383 By Matching Biggest Common Factor Method

Now, list down the factors of 580

1,2,4,5,10,20,29,58,116,145,290,580

Now, list down the factors of 383

1,383

Greatest Common Factor

We found the factors 580,383 . The biggest common factor number is the GCF number.
So the greatest common factor 580,383 is 1.

Lets's calculate LCM of 59,8606

Lowest Common Multiple of 59,8606 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 507754

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/507754

Therefore, the GCF of Fractions 580/59,383/8606 is 1/507754

Least Common Multiple of 59,8606 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 59,8606 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,8606) = 1

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

GCF(59,8606) x common factors =1 x 1 = 1

LCM(59,8606) = ( 59 × 8606 ) / 1

LCM(59,8606) = 507754 / 1

LCM(59,8606) = 507754

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FAQs on GCF of Fractions of 580/59, 383/8606

1. What is the HCF of 580,383?

The HCF of 580,383 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 580/59, 383/8606?

Answer: GCF of Numerators as per given numbers 580/59, 383/8606 is

GCF of Numerators i.e. for 580,383 is 1

LCM of denominators i.e. for 59,8606 is 507754.

Thus, GCF of Fractions is 1/507754.Finally, GCF of Fractions for 580/59, 383/8606 is 1/507754.