GCD of 953, 121, 213, 420 Calculator

Given Input numbers are 953, 121, 213, 420

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

Divisors of 953 :

The positive integer divisors of 953 that completely divides 953 are.

1, 953

Divisors of 121 :

The positive integer divisors of 121 that completely divides 121 are.

1, 11, 121

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

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

GCD of numbers is the greatest common divisor

So, the GCD (953, 121, 213, 420) = 1.

Given numbers are 953, 121, 213, 420

The list of prime factors of all numbers are

Prime factors of 953 are 953

Prime factors of 121 are 11 x 11

Prime factors of 213 are 3 x 71

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

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

Given numbers are 953, 121, 213, 420

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

Apply this formula for all numbers.

Step1:

LCM(953, 121) = 115313

GCD(953, 121) = ( 953 x 121 ) / 115313

= 953 / 121

= 953

Step2:

LCM(1, 213) = 213

GCD(1, 213) = ( 1 x 213 ) / 213

= 1 / 213

= 1

Step3:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

So, Greatest Common Divisor of 953, 121, 213, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 169, 138, 722, 908
• GCD of 490, 860, 803, 322
• GCD of 952, 553, 149, 698
• GCD of 456, 743, 733, 348
• GCD of 858, 754, 861, 962

Given numbers are 953, 121, 213, 420
The greatest common divisor of numbers 953, 121, 213, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 953, 121, 213, 420 is 1.

1. What is the GCD of 953, 121, 213, 420?

GCD of given numbers 953, 121, 213, 420 is 1

2. How to calculate the greatest common divisor of 953, 121, 213, 420?

We can find the highest common divisor of 953, 121, 213, 420 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 953, 121, 213, 420 i.e 1.

3. How can I use the GCD of 953, 121, 213, 420Calculator?

Out the numbers 953, 121, 213, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.