GCD of 827, 854, 972, 848 Calculator

Given Input numbers are 827, 854, 972, 848

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

Divisors of 827 :

The positive integer divisors of 827 that completely divides 827 are.

1, 827

Divisors of 854 :

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

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

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 848 :

The positive integer divisors of 848 that completely divides 848 are.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

GCD of numbers is the greatest common divisor

So, the GCD (827, 854, 972, 848) = 1.

Given numbers are 827, 854, 972, 848

The list of prime factors of all numbers are

Prime factors of 827 are 827

Prime factors of 854 are 2 x 7 x 61

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 848 are 2 x 2 x 2 x 2 x 53

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

Given numbers are 827, 854, 972, 848

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

Apply this formula for all numbers.

Step1:

LCM(827, 854) = 706258

GCD(827, 854) = ( 827 x 854 ) / 706258

= 827 / 854

= 827

Step2:

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

= 1 / 972

= 1

Step3:

LCM(1, 848) = 848

GCD(1, 848) = ( 1 x 848 ) / 848

= 1 / 848

= 1

So, Greatest Common Divisor of 827, 854, 972, 848 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 800, 825, 945, 508
• GCD of 239, 249, 922, 507
• GCD of 763, 735, 436, 177
• GCD of 246, 565, 594, 799
• GCD of 446, 517, 334, 538

Given numbers are 827, 854, 972, 848
The greatest common divisor of numbers 827, 854, 972, 848 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 827, 854, 972, 848 is 1.

1. What is the GCD of 827, 854, 972, 848?

GCD of given numbers 827, 854, 972, 848 is 1

2. How to calculate the greatest common divisor of 827, 854, 972, 848?

We can find the highest common divisor of 827, 854, 972, 848 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 827, 854, 972, 848 i.e 1.

3. How can I use the GCD of 827, 854, 972, 848Calculator?

Out the numbers 827, 854, 972, 848 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.