GCD of 902, 427, 420, 540 Calculator

Given Input numbers are 902, 427, 420, 540

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

Divisors of 902 :

The positive integer divisors of 902 that completely divides 902 are.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 427 :

The positive integer divisors of 427 that completely divides 427 are.

1, 7, 61, 427

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 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

GCD of numbers is the greatest common divisor

So, the GCD (902, 427, 420, 540) = 1.

Given numbers are 902, 427, 420, 540

The list of prime factors of all numbers are

Prime factors of 902 are 2 x 11 x 41

Prime factors of 427 are 7 x 61

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

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

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

Given numbers are 902, 427, 420, 540

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

Apply this formula for all numbers.

Step1:

LCM(902, 427) = 385154

GCD(902, 427) = ( 902 x 427 ) / 385154

= 902 / 427

= 902

Step2:

LCM(1, 420) = 420

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

= 1 / 420

= 1

Step3:

LCM(1, 540) = 540

GCD(1, 540) = ( 1 x 540 ) / 540

= 1 / 540

= 1

So, Greatest Common Divisor of 902, 427, 420, 540 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 571, 532, 713, 439
• GCD of 495, 539, 994, 397
• GCD of 750, 172, 657, 482
• GCD of 854, 913, 707, 558
• GCD of 175, 773, 514, 171

Given numbers are 902, 427, 420, 540
The greatest common divisor of numbers 902, 427, 420, 540 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 902, 427, 420, 540 is 1.

1. What is the GCD of 902, 427, 420, 540?

GCD of given numbers 902, 427, 420, 540 is 1

2. How to calculate the greatest common divisor of 902, 427, 420, 540?

We can find the highest common divisor of 902, 427, 420, 540 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 902, 427, 420, 540 i.e 1.

3. How can I use the GCD of 902, 427, 420, 540Calculator?

Out the numbers 902, 427, 420, 540 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.