GCD of 420, 196, 241, 689 Calculator

Given Input numbers are 420, 196, 241, 689

In the factoring method, we have to find the divisors of all numbers

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 241 :

The positive integer divisors of 241 that completely divides 241 are.

1, 241

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

GCD of numbers is the greatest common divisor

So, the GCD (420, 196, 241, 689) = 1.

Given numbers are 420, 196, 241, 689

The list of prime factors of all numbers are

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 196 are 2 x 2 x 7 x 7

Prime factors of 241 are 241

Prime factors of 689 are 13 x 53

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 420, 196, 241, 689

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(420, 196) = 2940

GCD(420, 196) = ( 420 x 196 ) / 2940

= 420 / 196

= 420

Step2:

LCM(28, 241) = 6748

GCD(28, 241) = ( 28 x 241 ) / 6748

= 28 / 241

= 28

Step3:

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

= 1 / 689

= 1

So, Greatest Common Divisor of 420, 196, 241, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 325, 203, 935, 865
• GCD of 635, 601, 182, 982
• GCD of 896, 132, 749, 274
• GCD of 838, 398, 768, 554
• GCD of 909, 864, 719, 522

Given numbers are 420, 196, 241, 689
The greatest common divisor of numbers 420, 196, 241, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 196, 241, 689 is 1.

1. What is the GCD of 420, 196, 241, 689?

GCD of given numbers 420, 196, 241, 689 is 1

2. How to calculate the greatest common divisor of 420, 196, 241, 689?

We can find the highest common divisor of 420, 196, 241, 689 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 420, 196, 241, 689 i.e 1.

3. How can I use the GCD of 420, 196, 241, 689Calculator?

Out the numbers 420, 196, 241, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.