GCD of 852, 645, 693, 300 Calculator

Given Input numbers are 852, 645, 693, 300

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

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 645 :

The positive integer divisors of 645 that completely divides 645 are.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 693 :

The positive integer divisors of 693 that completely divides 693 are.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

GCD of numbers is the greatest common divisor

So, the GCD (852, 645, 693, 300) = 3.

Given numbers are 852, 645, 693, 300

The list of prime factors of all numbers are

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

Prime factors of 645 are 3 x 5 x 43

Prime factors of 693 are 3 x 3 x 7 x 11

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

The highest common occurrence is 3¹

Therefore, GCD of 852, 645, 693, 300 is 3.

Given numbers are 852, 645, 693, 300

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

Apply this formula for all numbers.

Step1:

LCM(852, 645) = 183180

GCD(852, 645) = ( 852 x 645 ) / 183180

= 852 / 645

= 852

Step2:

LCM(3, 693) = 693

GCD(3, 693) = ( 3 x 693 ) / 693

= 3 / 693

= 3

Step3:

LCM(3, 300) = 300

GCD(3, 300) = ( 3 x 300 ) / 300

= 3 / 300

= 3

So, Greatest Common Divisor of 852, 645, 693, 300 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 984, 512, 985, 520
• GCD of 944, 370, 890, 181
• GCD of 719, 956, 512, 120
• GCD of 952, 603, 976, 456
• GCD of 242, 187, 866, 960

Given numbers are 852, 645, 693, 300
The greatest common divisor of numbers 852, 645, 693, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 645, 693, 300 is 3.

1. What is the GCD of 852, 645, 693, 300?

GCD of given numbers 852, 645, 693, 300 is 3

2. How to calculate the greatest common divisor of 852, 645, 693, 300?

We can find the highest common divisor of 852, 645, 693, 300 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 852, 645, 693, 300 i.e 3.

3. How can I use the GCD of 852, 645, 693, 300Calculator?

Out the numbers 852, 645, 693, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.