GCD of 153, 216, 972, 340 Calculator

Given Input numbers are 153, 216, 972, 340

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

Divisors of 153 :

The positive integer divisors of 153 that completely divides 153 are.

1, 3, 9, 17, 51, 153

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

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 340 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (153, 216, 972, 340) = 1.

Given numbers are 153, 216, 972, 340

The list of prime factors of all numbers are

Prime factors of 153 are 3 x 3 x 17

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

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

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

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

Given numbers are 153, 216, 972, 340

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

Apply this formula for all numbers.

Step1:

LCM(153, 216) = 3672

GCD(153, 216) = ( 153 x 216 ) / 3672

= 153 / 216

= 153

Step2:

LCM(9, 972) = 972

GCD(9, 972) = ( 9 x 972 ) / 972

= 9 / 972

= 9

Step3:

LCM(9, 340) = 3060

GCD(9, 340) = ( 9 x 340 ) / 3060

= 9 / 340

= 9

So, Greatest Common Divisor of 153, 216, 972, 340 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 263, 612, 606, 444
• GCD of 561, 802, 783, 432
• GCD of 660, 959, 606, 695
• GCD of 515, 737, 544, 247
• GCD of 773, 219, 671, 341

Given numbers are 153, 216, 972, 340
The greatest common divisor of numbers 153, 216, 972, 340 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 153, 216, 972, 340 is 1.

1. What is the GCD of 153, 216, 972, 340?

GCD of given numbers 153, 216, 972, 340 is 1

2. How to calculate the greatest common divisor of 153, 216, 972, 340?

We can find the highest common divisor of 153, 216, 972, 340 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 153, 216, 972, 340 i.e 1.

3. How can I use the GCD of 153, 216, 972, 340Calculator?

Out the numbers 153, 216, 972, 340 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.