GCD of 854, 628, 864, 971 Calculator

Given Input numbers are 854, 628, 864, 971

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

Divisors of 854 :

The positive integer divisors of 854 that completely divides 854 are.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 971 :

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

1, 971

GCD of numbers is the greatest common divisor

So, the GCD (854, 628, 864, 971) = 1.

Given numbers are 854, 628, 864, 971

The list of prime factors of all numbers are

Prime factors of 854 are 2 x 7 x 61

Prime factors of 628 are 2 x 2 x 157

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 971 are 971

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

Given numbers are 854, 628, 864, 971

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

Apply this formula for all numbers.

Step1:

LCM(854, 628) = 268156

GCD(854, 628) = ( 854 x 628 ) / 268156

= 854 / 628

= 854

Step2:

LCM(2, 864) = 864

GCD(2, 864) = ( 2 x 864 ) / 864

= 2 / 864

= 2

Step3:

LCM(2, 971) = 1942

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

= 2 / 971

= 2

So, Greatest Common Divisor of 854, 628, 864, 971 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 572, 662, 152, 529
• GCD of 638, 351, 600, 958
• GCD of 699, 930, 486, 175
• GCD of 929, 272, 435, 288
• GCD of 472, 165, 776, 265

Given numbers are 854, 628, 864, 971
The greatest common divisor of numbers 854, 628, 864, 971 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 854, 628, 864, 971 is 1.

1. What is the GCD of 854, 628, 864, 971?

GCD of given numbers 854, 628, 864, 971 is 1

2. How to calculate the greatest common divisor of 854, 628, 864, 971?

We can find the highest common divisor of 854, 628, 864, 971 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 854, 628, 864, 971 i.e 1.

3. How can I use the GCD of 854, 628, 864, 971Calculator?

Out the numbers 854, 628, 864, 971 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.