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 400/65, 206/3689

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 400/65, 206/3689 i.e 2/239785 easily. The following is the detailed procedure to determine the greatest common factor of fractions 400/65, 206/3689.

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 400/65,206/3689?

Given fractions are 400/65,206/3689

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 400/65,206/3689, numerators are 400,206

Denominators are 65,3689

The GCF of 400,206 is 2 .

LCM of 65,3689 is 239785.

The greatest common factor of 400/65,206/3689 = [GCF of 400,206]/[LCM of 65,3689]= 2/239785

Therefore, the GCF of 400/65,206/3689 is 2/239785.

Greatest Common Factor of 400,206

To find the highest common factor of 400,206, we have to find the factors of both numbers and list the highest common factor.

The factors of 400 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

The factors of 206 are 1, 2, 103, 206

The HCF of 400,206 is 2.

Lets's calculate GCF of 400,206

Greatest Common Factor (GCF) of 400,206 By Common Division

2 400, 206
200, 103

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

Greatest Common Factor of 400,206 By Matching Biggest Common Factor Method

Greatest Common Factor of 400,206 By Matching Biggest Common Factor Method

Now, list down the factors of 400

:

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Now, list down the factors of 206

:

1,2,103,206

Greatest Common Factor

We found the factors 400,206 . The biggest common factor number is the GCF number.
So the greatest common factor 400,206 is 2.

Lets's calculate LCM of 65,3689

Lowest Common Multiple of 65,3689 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 239785

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/239785

Therefore, the GCF of Fractions 400/65,206/3689 is 2/239785

Least Common Multiple of 65,3689 with GCF Formula

Least Common Multiple of 65,3689 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 65,3689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,3689) = 1

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

GCF(65,3689) x common factors =1 x 1 = 1

LCM(65,3689) = ( 65 × 3689 ) / 1

LCM(65,3689) = 239785 / 1

LCM(65,3689) = 239785


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 400/65, 206/3689

1. What is the HCF of 400,206?

The HCF of 400,206 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 400/65, 206/3689?

Answer: GCF of Numerators as per given numbers 400/65, 206/3689 is

GCF of Numerators i.e. for 400,206 is 2

LCM of denominators i.e. for 65,3689 is 239785.

Thus, GCF of Fractions is 2/239785.Finally, GCF of Fractions for 400/65, 206/3689 is 2/239785.