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GCF of 115/301, 605/376

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 115/301, 605/376 i.e 5/113176 easily. The following is the detailed procedure to determine the greatest common factor of fractions 115/301, 605/376.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 115/301,605/376?

Given fractions are 115/301,605/376

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 115/301,605/376, numerators are 115,605

Denominators are 301,376

The GCF of 115,605 is 5 .

LCM of 301,376 is 113176.

The greatest common factor of 115/301,605/376 = [GCF of 115,605]/[LCM of 301,376]= 5/113176

Therefore, the GCF of 115/301,605/376 is 5/113176.

Greatest Common Factor of 115,605

To find the highest common factor of 115,605, we have to find the factors of both numbers and list the highest common factor.

The factors of 115 are 1, 5, 23, 115

The factors of 605 are 1, 5, 11, 55, 121, 605

The HCF of 115,605 is 5.

Lets's calculate GCF of 115,605

Greatest Common Factor (GCF) of 115,605 By Common Division

5 115, 605
23, 121

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 115,605 By Matching Biggest Common Factor Method

Greatest Common Factor of 115,605 By Matching Biggest Common Factor Method

Now, list down the factors of 115

:

1,5,23,115

Now, list down the factors of 605

:

1,5,11,55,121,605

Greatest Common Factor

We found the factors 115,605 . The biggest common factor number is the GCF number.
So the greatest common factor 115,605 is 5.


Lets's calculate LCM of 301,376

Lowest Common Multiple of 301,376 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 113176

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/113176

Therefore, the GCF of Fractions 115/301,605/376 is 5/113176

Least Common Multiple of 301,376 with GCF Formula

Least Common Multiple of 301,376 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 301,376 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(301,376) = 1

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

GCF(301,376) x common factors =1 x 1 = 1

LCM(301,376) = ( 301 × 376 ) / 1

LCM(301,376) = 113176 / 1

LCM(301,376) = 113176


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 115/301, 605/376

1. What is the HCF of 115,605?

The HCF of 115,605 is 5

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 115/301, 605/376?

Answer: GCF of Numerators as per given numbers 115/301, 605/376 is

GCF of Numerators i.e. for 115,605 is 5

LCM of denominators i.e. for 301,376 is 113176.

Thus, GCF of Fractions is 5/113176.Finally, GCF of Fractions for 115/301, 605/376 is 5/113176.