GCD of 855, 692, 242, 420 Calculator

Given Input numbers are 855, 692, 242, 420

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

Divisors of 855 :

The positive integer divisors of 855 that completely divides 855 are.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Divisors of 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

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 (855, 692, 242, 420) = 1.

Given numbers are 855, 692, 242, 420

The list of prime factors of all numbers are

Prime factors of 855 are 3 x 3 x 5 x 19

Prime factors of 692 are 2 x 2 x 173

Prime factors of 242 are 2 x 11 x 11

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 855, 692, 242, 420

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

Apply this formula for all numbers.

Step1:

LCM(855, 692) = 591660

GCD(855, 692) = ( 855 x 692 ) / 591660

= 855 / 692

= 855

Step2:

LCM(1, 242) = 242

GCD(1, 242) = ( 1 x 242 ) / 242

= 1 / 242

= 1

Step3:

LCM(1, 420) = 420

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

= 1 / 420

= 1

So, Greatest Common Divisor of 855, 692, 242, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 875, 249, 504, 493
• GCD of 527, 598, 543, 240
• GCD of 874, 488, 480, 616
• GCD of 254, 930, 274, 164
• GCD of 606, 465, 547, 579

Given numbers are 855, 692, 242, 420
The greatest common divisor of numbers 855, 692, 242, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 855, 692, 242, 420 is 1.

1. What is the GCD of 855, 692, 242, 420?

GCD of given numbers 855, 692, 242, 420 is 1

2. How to calculate the greatest common divisor of 855, 692, 242, 420?

We can find the highest common divisor of 855, 692, 242, 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 855, 692, 242, 420 i.e 1.

3. How can I use the GCD of 855, 692, 242, 420Calculator?

Out the numbers 855, 692, 242, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.