GCD of 364, 840, 505, 656 Calculator

Given Input numbers are 364, 840, 505, 656

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

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505

Divisors of 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

GCD of numbers is the greatest common divisor

So, the GCD (364, 840, 505, 656) = 1.

Given numbers are 364, 840, 505, 656

The list of prime factors of all numbers are

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 505 are 5 x 101

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

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

Given numbers are 364, 840, 505, 656

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

Apply this formula for all numbers.

Step1:

LCM(364, 840) = 10920

GCD(364, 840) = ( 364 x 840 ) / 10920

= 364 / 840

= 364

Step2:

LCM(28, 505) = 14140

GCD(28, 505) = ( 28 x 505 ) / 14140

= 28 / 505

= 28

Step3:

LCM(1, 656) = 656

GCD(1, 656) = ( 1 x 656 ) / 656

= 1 / 656

= 1

So, Greatest Common Divisor of 364, 840, 505, 656 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 671, 911, 772, 732
• GCD of 849, 828, 524, 372
• GCD of 461, 228, 114, 643
• GCD of 624, 473, 285, 689
• GCD of 106, 949, 842, 444

Given numbers are 364, 840, 505, 656
The greatest common divisor of numbers 364, 840, 505, 656 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 840, 505, 656 is 1.

1. What is the GCD of 364, 840, 505, 656?

GCD of given numbers 364, 840, 505, 656 is 1

2. How to calculate the greatest common divisor of 364, 840, 505, 656?

We can find the highest common divisor of 364, 840, 505, 656 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 364, 840, 505, 656 i.e 1.

3. How can I use the GCD of 364, 840, 505, 656Calculator?

Out the numbers 364, 840, 505, 656 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.