How to Find GCF of 185/34, 399/3065?

GCF of 185/34, 399/3065

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 185/34, 399/3065 i.e 1/104210 easily. The following is the detailed procedure to determine the greatest common factor of fractions 185/34, 399/3065.

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 185/34,399/3065?

Given fractions are 185/34,399/3065

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 185/34,399/3065, numerators are 185,399

Denominators are 34,3065

The GCF of 185,399 is 1 .

LCM of 34,3065 is 104210.

The greatest common factor of 185/34,399/3065 = [GCF of 185,399]/[LCM of 34,3065]= 1/104210

Therefore, the GCF of 185/34,399/3065 is 1/104210.

Greatest Common Factor of 185,399

To find the highest common factor of 185,399, we have to find the factors of both numbers and list the highest common factor.

The factors of 185 are 1, 5, 37, 185

The factors of 399 are 1, 3, 7, 19, 21, 57, 133, 399

The HCF of 185,399 is 1.

Lets's calculate GCF of 185,399

Greatest Common Factor (GCF) of 185,399 By Common Division

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

Greatest Common Factor of 185,399 By Matching Biggest Common Factor Method

Now, list down the factors of 185

1,5,37,185

Now, list down the factors of 399

1,3,7,19,21,57,133,399

Greatest Common Factor

We found the factors 185,399 . The biggest common factor number is the GCF number.
So the greatest common factor 185,399 is 1.

Lets's calculate LCM of 34,3065

Lowest Common Multiple of 34,3065 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 104210

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/104210

Therefore, the GCF of Fractions 185/34,399/3065 is 1/104210

Least Common Multiple of 34,3065 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 34,3065 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,3065) = 1

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

GCF(34,3065) x common factors =1 x 1 = 1

LCM(34,3065) = ( 34 × 3065 ) / 1

LCM(34,3065) = 104210 / 1

LCM(34,3065) = 104210

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 185/34, 399/3065

1. What is the HCF of 185,399?

The HCF of 185,399 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 185/34, 399/3065?

Answer: GCF of Numerators as per given numbers 185/34, 399/3065 is

GCF of Numerators i.e. for 185,399 is 1

LCM of denominators i.e. for 34,3065 is 104210.

Thus, GCF of Fractions is 1/104210.Finally, GCF of Fractions for 185/34, 399/3065 is 1/104210.