GCD of 985, 712, 852, 420 Calculator

Given Input numbers are 985, 712, 852, 420

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

Divisors of 985 :

The positive integer divisors of 985 that completely divides 985 are.

1, 5, 197, 985

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

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 (985, 712, 852, 420) = 1.

Given numbers are 985, 712, 852, 420

The list of prime factors of all numbers are

Prime factors of 985 are 5 x 197

Prime factors of 712 are 2 x 2 x 2 x 89

Prime factors of 852 are 2 x 2 x 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 985, 712, 852, 420

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

Apply this formula for all numbers.

Step1:

LCM(985, 712) = 701320

GCD(985, 712) = ( 985 x 712 ) / 701320

= 985 / 712

= 985

Step2:

LCM(1, 852) = 852

GCD(1, 852) = ( 1 x 852 ) / 852

= 1 / 852

= 1

Step3:

LCM(1, 420) = 420

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

= 1 / 420

= 1

So, Greatest Common Divisor of 985, 712, 852, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 256, 380, 262, 774
• GCD of 251, 421, 377, 767
• GCD of 586, 301, 879, 564
• GCD of 732, 120, 977, 290
• GCD of 181, 112, 663, 740

Given numbers are 985, 712, 852, 420
The greatest common divisor of numbers 985, 712, 852, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 985, 712, 852, 420 is 1.

1. What is the GCD of 985, 712, 852, 420?

GCD of given numbers 985, 712, 852, 420 is 1

2. How to calculate the greatest common divisor of 985, 712, 852, 420?

We can find the highest common divisor of 985, 712, 852, 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 985, 712, 852, 420 i.e 1.

3. How can I use the GCD of 985, 712, 852, 420Calculator?

Out the numbers 985, 712, 852, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.