GCD of 257, 264, 737, 821 Calculator

Given Input numbers are 257, 264, 737, 821

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

Divisors of 257 :

The positive integer divisors of 257 that completely divides 257 are.

1, 257

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 737 :

The positive integer divisors of 737 that completely divides 737 are.

1, 11, 67, 737

Divisors of 821 :

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

1, 821

GCD of numbers is the greatest common divisor

So, the GCD (257, 264, 737, 821) = 1.

Given numbers are 257, 264, 737, 821

The list of prime factors of all numbers are

Prime factors of 257 are 257

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 737 are 11 x 67

Prime factors of 821 are 821

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

Given numbers are 257, 264, 737, 821

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

Apply this formula for all numbers.

Step1:

LCM(257, 264) = 67848

GCD(257, 264) = ( 257 x 264 ) / 67848

= 257 / 264

= 257

Step2:

LCM(1, 737) = 737

GCD(1, 737) = ( 1 x 737 ) / 737

= 1 / 737

= 1

Step3:

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

= 1 / 821

= 1

So, Greatest Common Divisor of 257, 264, 737, 821 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 475, 403, 655, 659
• GCD of 195, 141, 243, 681
• GCD of 860, 356, 410, 492
• GCD of 148, 589, 381, 656
• GCD of 234, 503, 400, 736

Given numbers are 257, 264, 737, 821
The greatest common divisor of numbers 257, 264, 737, 821 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 257, 264, 737, 821 is 1.

1. What is the GCD of 257, 264, 737, 821?

GCD of given numbers 257, 264, 737, 821 is 1

2. How to calculate the greatest common divisor of 257, 264, 737, 821?

We can find the highest common divisor of 257, 264, 737, 821 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 257, 264, 737, 821 i.e 1.

3. How can I use the GCD of 257, 264, 737, 821Calculator?

Out the numbers 257, 264, 737, 821 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.