GCD of 100, 852, 309, 504 Calculator

Given Input numbers are 100, 852, 309, 504

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

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

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 309 :

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

1, 3, 103, 309

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

GCD of numbers is the greatest common divisor

So, the GCD (100, 852, 309, 504) = 1.

Given numbers are 100, 852, 309, 504

The list of prime factors of all numbers are

Prime factors of 100 are 2 x 2 x 5 x 5

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

Prime factors of 309 are 3 x 103

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

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

Given numbers are 100, 852, 309, 504

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

Apply this formula for all numbers.

Step1:

LCM(100, 852) = 21300

GCD(100, 852) = ( 100 x 852 ) / 21300

= 100 / 852

= 100

Step2:

LCM(4, 309) = 1236

GCD(4, 309) = ( 4 x 309 ) / 1236

= 4 / 309

= 4

Step3:

LCM(1, 504) = 504

GCD(1, 504) = ( 1 x 504 ) / 504

= 1 / 504

= 1

So, Greatest Common Divisor of 100, 852, 309, 504 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 552, 592, 929, 427
• GCD of 196, 590, 468, 597
• GCD of 962, 309, 640, 698
• GCD of 376, 937, 993, 107
• GCD of 986, 406, 182, 550

Given numbers are 100, 852, 309, 504
The greatest common divisor of numbers 100, 852, 309, 504 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 852, 309, 504 is 1.

1. What is the GCD of 100, 852, 309, 504?

GCD of given numbers 100, 852, 309, 504 is 1

2. How to calculate the greatest common divisor of 100, 852, 309, 504?

We can find the highest common divisor of 100, 852, 309, 504 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 100, 852, 309, 504 i.e 1.

3. How can I use the GCD of 100, 852, 309, 504Calculator?

Out the numbers 100, 852, 309, 504 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.