GCD of 802, 420, 971, 359 Calculator

Given Input numbers are 802, 420, 971, 359

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

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

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 971 :

The positive integer divisors of 971 that completely divides 971 are.

1, 971

Divisors of 359 :

The positive integer divisors of 359 that completely divides 359 are.

1, 359

GCD of numbers is the greatest common divisor

So, the GCD (802, 420, 971, 359) = 1.

Given numbers are 802, 420, 971, 359

The list of prime factors of all numbers are

Prime factors of 802 are 2 x 401

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

Prime factors of 971 are 971

Prime factors of 359 are 359

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

Given numbers are 802, 420, 971, 359

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

Apply this formula for all numbers.

Step1:

LCM(802, 420) = 168420

GCD(802, 420) = ( 802 x 420 ) / 168420

= 802 / 420

= 802

Step2:

LCM(2, 971) = 1942

GCD(2, 971) = ( 2 x 971 ) / 1942

= 2 / 971

= 2

Step3:

LCM(1, 359) = 359

GCD(1, 359) = ( 1 x 359 ) / 359

= 1 / 359

= 1

So, Greatest Common Divisor of 802, 420, 971, 359 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 629, 452, 585, 166
• GCD of 180, 310, 158, 843
• GCD of 642, 416, 252, 656
• GCD of 137, 699, 262, 393
• GCD of 427, 853, 495, 205

Given numbers are 802, 420, 971, 359
The greatest common divisor of numbers 802, 420, 971, 359 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 802, 420, 971, 359 is 1.

1. What is the GCD of 802, 420, 971, 359?

GCD of given numbers 802, 420, 971, 359 is 1

2. How to calculate the greatest common divisor of 802, 420, 971, 359?

We can find the highest common divisor of 802, 420, 971, 359 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 802, 420, 971, 359 i.e 1.

3. How can I use the GCD of 802, 420, 971, 359Calculator?

Out the numbers 802, 420, 971, 359 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.