GCD of 456, 731, 802, 355 Calculator

Given Input numbers are 456, 731, 802, 355

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

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

GCD of numbers is the greatest common divisor

So, the GCD (456, 731, 802, 355) = 1.

Given numbers are 456, 731, 802, 355

The list of prime factors of all numbers are

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 731 are 17 x 43

Prime factors of 802 are 2 x 401

Prime factors of 355 are 5 x 71

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

Given numbers are 456, 731, 802, 355

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

Apply this formula for all numbers.

Step1:

LCM(456, 731) = 333336

GCD(456, 731) = ( 456 x 731 ) / 333336

= 456 / 731

= 456

Step2:

LCM(1, 802) = 802

GCD(1, 802) = ( 1 x 802 ) / 802

= 1 / 802

= 1

Step3:

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

= 1 / 355

= 1

So, Greatest Common Divisor of 456, 731, 802, 355 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 394, 637, 135, 432
• GCD of 749, 857, 391, 931
• GCD of 786, 486, 369, 819
• GCD of 302, 175, 181, 771
• GCD of 575, 730, 342, 145

Given numbers are 456, 731, 802, 355
The greatest common divisor of numbers 456, 731, 802, 355 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 456, 731, 802, 355 is 1.

1. What is the GCD of 456, 731, 802, 355?

GCD of given numbers 456, 731, 802, 355 is 1

2. How to calculate the greatest common divisor of 456, 731, 802, 355?

We can find the highest common divisor of 456, 731, 802, 355 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 456, 731, 802, 355 i.e 1.

3. How can I use the GCD of 456, 731, 802, 355Calculator?

Out the numbers 456, 731, 802, 355 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.