How to Find GCF of 1640/307, 4793/8073?

GCF of 1640/307, 4793/8073

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 1640/307, 4793/8073 i.e 1/2478411 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1640/307, 4793/8073.

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 1640/307,4793/8073?

Given fractions are 1640/307,4793/8073

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 1640/307,4793/8073, numerators are 1640,4793

Denominators are 307,8073

The GCF of 1640,4793 is 1 .

LCM of 307,8073 is 2478411.

The greatest common factor of 1640/307,4793/8073 = [GCF of 1640,4793]/[LCM of 307,8073]= 1/2478411

Therefore, the GCF of 1640/307,4793/8073 is 1/2478411.

Greatest Common Factor of 1640,4793

To find the highest common factor of 1640,4793, we have to find the factors of both numbers and list the highest common factor.

The factors of 1640 are 1, 2, 4, 5, 8, 10, 20, 40, 41, 82, 164, 205, 328, 410, 820, 1640

The factors of 4793 are 1, 4793

The HCF of 1640,4793 is 1.

Lets's calculate GCF of 1640,4793

Greatest Common Factor (GCF) of 1640,4793 By Common Division

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

Greatest Common Factor of 1640,4793 By Matching Biggest Common Factor Method

Now, list down the factors of 1640

1,2,4,5,8,10,20,40,41,82,164,205,328,410,820,1640

Now, list down the factors of 4793

1,4793

Greatest Common Factor

We found the factors 1640,4793 . The biggest common factor number is the GCF number.
So the greatest common factor 1640,4793 is 1.

Lets's calculate LCM of 307,8073

Lowest Common Multiple of 307,8073 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2478411

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2478411

Therefore, the GCF of Fractions 1640/307,4793/8073 is 1/2478411

Least Common Multiple of 307,8073 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 307,8073 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(307,8073) = 1

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

GCF(307,8073) x common factors =1 x 1 = 1

LCM(307,8073) = ( 307 × 8073 ) / 1

LCM(307,8073) = 2478411 / 1

LCM(307,8073) = 2478411

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FAQs on GCF of Fractions of 1640/307, 4793/8073

1. What is the HCF of 1640,4793?

The HCF of 1640,4793 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 1640/307, 4793/8073?

Answer: GCF of Numerators as per given numbers 1640/307, 4793/8073 is

GCF of Numerators i.e. for 1640,4793 is 1

LCM of denominators i.e. for 307,8073 is 2478411.

Thus, GCF of Fractions is 1/2478411.Finally, GCF of Fractions for 1640/307, 4793/8073 is 1/2478411.