GCD of 261, 511, 307, 972 Calculator

Given Input numbers are 261, 511, 307, 972

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

Divisors of 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

Divisors of 511 :

The positive integer divisors of 511 that completely divides 511 are.

1, 7, 73, 511

Divisors of 307 :

The positive integer divisors of 307 that completely divides 307 are.

1, 307

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 (261, 511, 307, 972) = 1.

Given numbers are 261, 511, 307, 972

The list of prime factors of all numbers are

Prime factors of 261 are 3 x 3 x 29

Prime factors of 511 are 7 x 73

Prime factors of 307 are 307

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 261, 511, 307, 972

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

Apply this formula for all numbers.

Step1:

LCM(261, 511) = 133371

GCD(261, 511) = ( 261 x 511 ) / 133371

= 261 / 511

= 261

Step2:

LCM(1, 307) = 307

GCD(1, 307) = ( 1 x 307 ) / 307

= 1 / 307

= 1

Step3:

LCM(1, 972) = 972

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

= 1 / 972

= 1

So, Greatest Common Divisor of 261, 511, 307, 972 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 589, 703, 610, 548
• GCD of 682, 653, 800, 491
• GCD of 696, 701, 536, 719
• GCD of 134, 838, 587, 927
• GCD of 177, 990, 166, 650

Given numbers are 261, 511, 307, 972
The greatest common divisor of numbers 261, 511, 307, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 261, 511, 307, 972 is 1.

1. What is the GCD of 261, 511, 307, 972?

GCD of given numbers 261, 511, 307, 972 is 1

2. How to calculate the greatest common divisor of 261, 511, 307, 972?

We can find the highest common divisor of 261, 511, 307, 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 261, 511, 307, 972 i.e 1.

3. How can I use the GCD of 261, 511, 307, 972Calculator?

Out the numbers 261, 511, 307, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.