GCD of 340, 574, 867, 972 Calculator

Given Input numbers are 340, 574, 867, 972

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

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 867 :

The positive integer divisors of 867 that completely divides 867 are.

1, 3, 17, 51, 289, 867

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

GCD of numbers is the greatest common divisor

So, the GCD (340, 574, 867, 972) = 1.

Given numbers are 340, 574, 867, 972

The list of prime factors of all numbers are

Prime factors of 340 are 2 x 2 x 5 x 17

Prime factors of 574 are 2 x 7 x 41

Prime factors of 867 are 3 x 17 x 17

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

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

Given numbers are 340, 574, 867, 972

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

Apply this formula for all numbers.

Step1:

LCM(340, 574) = 97580

GCD(340, 574) = ( 340 x 574 ) / 97580

= 340 / 574

= 340

Step2:

LCM(2, 867) = 1734

GCD(2, 867) = ( 2 x 867 ) / 1734

= 2 / 867

= 2

Step3:

LCM(1, 972) = 972

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

= 1 / 972

= 1

So, Greatest Common Divisor of 340, 574, 867, 972 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 196, 899, 693, 724
• GCD of 254, 965, 437, 762
• GCD of 696, 341, 290, 968
• GCD of 180, 626, 688, 456
• GCD of 440, 814, 807, 636

Given numbers are 340, 574, 867, 972
The greatest common divisor of numbers 340, 574, 867, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 340, 574, 867, 972 is 1.

1. What is the GCD of 340, 574, 867, 972?

GCD of given numbers 340, 574, 867, 972 is 1

2. How to calculate the greatest common divisor of 340, 574, 867, 972?

We can find the highest common divisor of 340, 574, 867, 972 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 340, 574, 867, 972 i.e 1.

3. How can I use the GCD of 340, 574, 867, 972Calculator?

Out the numbers 340, 574, 867, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.