How to Find GCF of 613/671, 8128/9378?

GCF of 613/671, 8128/9378

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 613/671, 8128/9378 i.e 1/6292638 easily. The following is the detailed procedure to determine the greatest common factor of fractions 613/671, 8128/9378.

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 613/671,8128/9378?

Given fractions are 613/671,8128/9378

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 613/671,8128/9378, numerators are 613,8128

Denominators are 671,9378

The GCF of 613,8128 is 1 .

LCM of 671,9378 is 6292638.

The greatest common factor of 613/671,8128/9378 = [GCF of 613,8128]/[LCM of 671,9378]= 1/6292638

Therefore, the GCF of 613/671,8128/9378 is 1/6292638.

Greatest Common Factor of 613,8128

To find the highest common factor of 613,8128, we have to find the factors of both numbers and list the highest common factor.

The factors of 613 are 1, 613

The factors of 8128 are 1, 2, 4, 8, 16, 32, 64, 127, 254, 508, 1016, 2032, 4064, 8128

The HCF of 613,8128 is 1.

Lets's calculate GCF of 613,8128

Greatest Common Factor (GCF) of 613,8128 By Common Division

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

Greatest Common Factor of 613,8128 By Matching Biggest Common Factor Method

Now, list down the factors of 613

1,613

Now, list down the factors of 8128

1,2,4,8,16,32,64,127,254,508,1016,2032,4064,8128

Greatest Common Factor

We found the factors 613,8128 . The biggest common factor number is the GCF number.
So the greatest common factor 613,8128 is 1.

Lets's calculate LCM of 671,9378

Lowest Common Multiple of 671,9378 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6292638

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6292638

Therefore, the GCF of Fractions 613/671,8128/9378 is 1/6292638

Least Common Multiple of 671,9378 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 671,9378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(671,9378) = 1

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

GCF(671,9378) x common factors =1 x 1 = 1

LCM(671,9378) = ( 671 × 9378 ) / 1

LCM(671,9378) = 6292638 / 1

LCM(671,9378) = 6292638

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 613/671, 8128/9378

1. What is the HCF of 613,8128?

The HCF of 613,8128 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 613/671, 8128/9378?

Answer: GCF of Numerators as per given numbers 613/671, 8128/9378 is

GCF of Numerators i.e. for 613,8128 is 1

LCM of denominators i.e. for 671,9378 is 6292638.

Thus, GCF of Fractions is 1/6292638.Finally, GCF of Fractions for 613/671, 8128/9378 is 1/6292638.