GCD of 437, 309, 852, 920 Calculator

Given Input numbers are 437, 309, 852, 920

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

Divisors of 437 :

The positive integer divisors of 437 that completely divides 437 are.

1, 19, 23, 437

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

GCD of numbers is the greatest common divisor

So, the GCD (437, 309, 852, 920) = 1.

Given numbers are 437, 309, 852, 920

The list of prime factors of all numbers are

Prime factors of 437 are 19 x 23

Prime factors of 309 are 3 x 103

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

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

Given numbers are 437, 309, 852, 920

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

Apply this formula for all numbers.

Step1:

LCM(437, 309) = 135033

GCD(437, 309) = ( 437 x 309 ) / 135033

= 437 / 309

= 437

Step2:

LCM(1, 852) = 852

GCD(1, 852) = ( 1 x 852 ) / 852

= 1 / 852

= 1

Step3:

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

= 1 / 920

= 1

So, Greatest Common Divisor of 437, 309, 852, 920 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 623, 823, 153, 698
• GCD of 438, 969, 538, 508
• GCD of 436, 787, 509, 998
• GCD of 739, 115, 172, 999
• GCD of 804, 873, 897, 975

Given numbers are 437, 309, 852, 920
The greatest common divisor of numbers 437, 309, 852, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 437, 309, 852, 920 is 1.

1. What is the GCD of 437, 309, 852, 920?

GCD of given numbers 437, 309, 852, 920 is 1

2. How to calculate the greatest common divisor of 437, 309, 852, 920?

We can find the highest common divisor of 437, 309, 852, 920 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 437, 309, 852, 920 i.e 1.

3. How can I use the GCD of 437, 309, 852, 920Calculator?

Out the numbers 437, 309, 852, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.