GCD of 972, 374, 407, 848 Calculator

Given Input numbers are 972, 374, 407, 848

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

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 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 407 :

The positive integer divisors of 407 that completely divides 407 are.

1, 11, 37, 407

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 (972, 374, 407, 848) = 1.

Given numbers are 972, 374, 407, 848

The list of prime factors of all numbers are

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

Prime factors of 374 are 2 x 11 x 17

Prime factors of 407 are 11 x 37

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 972, 374, 407, 848

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

Apply this formula for all numbers.

Step1:

LCM(972, 374) = 181764

GCD(972, 374) = ( 972 x 374 ) / 181764

= 972 / 374

= 972

Step2:

LCM(2, 407) = 814

GCD(2, 407) = ( 2 x 407 ) / 814

= 2 / 407

= 2

Step3:

LCM(1, 848) = 848

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

= 1 / 848

= 1

So, Greatest Common Divisor of 972, 374, 407, 848 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 549, 266, 526, 315
• GCD of 657, 471, 788, 165
• GCD of 527, 697, 472, 332
• GCD of 487, 587, 607, 504
• GCD of 925, 867, 281, 391

Given numbers are 972, 374, 407, 848
The greatest common divisor of numbers 972, 374, 407, 848 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 374, 407, 848 is 1.

1. What is the GCD of 972, 374, 407, 848?

GCD of given numbers 972, 374, 407, 848 is 1

2. How to calculate the greatest common divisor of 972, 374, 407, 848?

We can find the highest common divisor of 972, 374, 407, 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 972, 374, 407, 848 i.e 1.

3. How can I use the GCD of 972, 374, 407, 848Calculator?

Out the numbers 972, 374, 407, 848 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.