GCD of 856, 889, 746, 420 Calculator

Given Input numbers are 856, 889, 746, 420

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

Divisors of 856 :

The positive integer divisors of 856 that completely divides 856 are.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 889 :

The positive integer divisors of 889 that completely divides 889 are.

1, 7, 127, 889

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

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 (856, 889, 746, 420) = 1.

Given numbers are 856, 889, 746, 420

The list of prime factors of all numbers are

Prime factors of 856 are 2 x 2 x 2 x 107

Prime factors of 889 are 7 x 127

Prime factors of 746 are 2 x 373

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 856, 889, 746, 420

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

Apply this formula for all numbers.

Step1:

LCM(856, 889) = 760984

GCD(856, 889) = ( 856 x 889 ) / 760984

= 856 / 889

= 856

Step2:

LCM(1, 746) = 746

GCD(1, 746) = ( 1 x 746 ) / 746

= 1 / 746

= 1

Step3:

LCM(1, 420) = 420

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

= 1 / 420

= 1

So, Greatest Common Divisor of 856, 889, 746, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 938, 620, 285, 507
• GCD of 767, 489, 542, 191
• GCD of 657, 686, 845, 744
• GCD of 196, 833, 131, 817
• GCD of 359, 375, 182, 353

Given numbers are 856, 889, 746, 420
The greatest common divisor of numbers 856, 889, 746, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 856, 889, 746, 420 is 1.

1. What is the GCD of 856, 889, 746, 420?

GCD of given numbers 856, 889, 746, 420 is 1

2. How to calculate the greatest common divisor of 856, 889, 746, 420?

We can find the highest common divisor of 856, 889, 746, 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 856, 889, 746, 420 i.e 1.

3. How can I use the GCD of 856, 889, 746, 420Calculator?

Out the numbers 856, 889, 746, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.