GCD of 269, 821, 972, 341 Calculator

Given Input numbers are 269, 821, 972, 341

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

Divisors of 269 :

The positive integer divisors of 269 that completely divides 269 are.

1, 269

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

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 341 :

The positive integer divisors of 341 that completely divides 341 are.

1, 11, 31, 341

GCD of numbers is the greatest common divisor

So, the GCD (269, 821, 972, 341) = 1.

Given numbers are 269, 821, 972, 341

The list of prime factors of all numbers are

Prime factors of 269 are 269

Prime factors of 821 are 821

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

Prime factors of 341 are 11 x 31

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

Given numbers are 269, 821, 972, 341

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

Apply this formula for all numbers.

Step1:

LCM(269, 821) = 220849

GCD(269, 821) = ( 269 x 821 ) / 220849

= 269 / 821

= 269

Step2:

LCM(1, 972) = 972

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

= 1 / 972

= 1

Step3:

LCM(1, 341) = 341

GCD(1, 341) = ( 1 x 341 ) / 341

= 1 / 341

= 1

So, Greatest Common Divisor of 269, 821, 972, 341 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 364, 510, 420, 325
• GCD of 669, 167, 463, 202
• GCD of 781, 610, 228, 452
• GCD of 727, 477, 533, 632
• GCD of 334, 885, 171, 160

Given numbers are 269, 821, 972, 341
The greatest common divisor of numbers 269, 821, 972, 341 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 269, 821, 972, 341 is 1.

1. What is the GCD of 269, 821, 972, 341?

GCD of given numbers 269, 821, 972, 341 is 1

2. How to calculate the greatest common divisor of 269, 821, 972, 341?

We can find the highest common divisor of 269, 821, 972, 341 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 269, 821, 972, 341 i.e 1.

3. How can I use the GCD of 269, 821, 972, 341Calculator?

Out the numbers 269, 821, 972, 341 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.