LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 204/34, 370/581

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 204/34, 370/581 i.e 2/19754 easily. The following is the detailed procedure to determine the greatest common factor of fractions 204/34, 370/581.

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 204/34,370/581?

Given fractions are 204/34,370/581

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 204/34,370/581, numerators are 204,370

Denominators are 34,581

The GCF of 204,370 is 2 .

LCM of 34,581 is 19754.

The greatest common factor of 204/34,370/581 = [GCF of 204,370]/[LCM of 34,581]= 2/19754

Therefore, the GCF of 204/34,370/581 is 2/19754.

Greatest Common Factor of 204,370

To find the highest common factor of 204,370, we have to find the factors of both numbers and list the highest common factor.

The factors of 204 are 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

The factors of 370 are 1, 2, 5, 10, 37, 74, 185, 370

The HCF of 204,370 is 2.

Lets's calculate GCF of 204,370

Greatest Common Factor (GCF) of 204,370 By Common Division

2 204, 370
102, 185

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 204,370 By Matching Biggest Common Factor Method

Greatest Common Factor of 204,370 By Matching Biggest Common Factor Method

Now, list down the factors of 204

:

1,2,3,4,6,12,17,34,51,68,102,204

Now, list down the factors of 370

:

1,2,5,10,37,74,185,370

Greatest Common Factor

We found the factors 204,370 . The biggest common factor number is the GCF number.
So the greatest common factor 204,370 is 2.

Lets's calculate LCM of 34,581

Lowest Common Multiple of 34,581 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 19754

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/19754

Therefore, the GCF of Fractions 204/34,370/581 is 2/19754

Least Common Multiple of 34,581 with GCF Formula

Least Common Multiple of 34,581 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 34,581 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,581) = 1

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

GCF(34,581) x common factors =1 x 1 = 1

LCM(34,581) = ( 34 × 581 ) / 1

LCM(34,581) = 19754 / 1

LCM(34,581) = 19754


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 204/34, 370/581

1. What is the HCF of 204,370?

The HCF of 204,370 is 2

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 204/34, 370/581?

Answer: GCF of Numerators as per given numbers 204/34, 370/581 is

GCF of Numerators i.e. for 204,370 is 2

LCM of denominators i.e. for 34,581 is 19754.

Thus, GCF of Fractions is 2/19754.Finally, GCF of Fractions for 204/34, 370/581 is 2/19754.