GCD of 461, 420, 196, 561 Calculator

Given Input numbers are 461, 420, 196, 561

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

Divisors of 461 :

The positive integer divisors of 461 that completely divides 461 are.

1, 461

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 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

GCD of numbers is the greatest common divisor

So, the GCD (461, 420, 196, 561) = 1.

Given numbers are 461, 420, 196, 561

The list of prime factors of all numbers are

Prime factors of 461 are 461

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 561 are 3 x 11 x 17

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

Given numbers are 461, 420, 196, 561

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

Apply this formula for all numbers.

Step1:

LCM(461, 420) = 193620

GCD(461, 420) = ( 461 x 420 ) / 193620

= 461 / 420

= 461

Step2:

LCM(1, 196) = 196

GCD(1, 196) = ( 1 x 196 ) / 196

= 1 / 196

= 1

Step3:

LCM(1, 561) = 561

GCD(1, 561) = ( 1 x 561 ) / 561

= 1 / 561

= 1

So, Greatest Common Divisor of 461, 420, 196, 561 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 545, 360, 207, 205
• GCD of 602, 846, 118, 546
• GCD of 654, 419, 670, 129
• GCD of 716, 840, 119, 891
• GCD of 810, 290, 509, 309

Given numbers are 461, 420, 196, 561
The greatest common divisor of numbers 461, 420, 196, 561 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 461, 420, 196, 561 is 1.

1. What is the GCD of 461, 420, 196, 561?

GCD of given numbers 461, 420, 196, 561 is 1

2. How to calculate the greatest common divisor of 461, 420, 196, 561?

We can find the highest common divisor of 461, 420, 196, 561 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 461, 420, 196, 561 i.e 1.

3. How can I use the GCD of 461, 420, 196, 561Calculator?

Out the numbers 461, 420, 196, 561 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.