GCD of 705, 690, 825, 600 Calculator

Given Input numbers are 705, 690, 825, 600

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

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

GCD of numbers is the greatest common divisor

So, the GCD (705, 690, 825, 600) = 15.

Given numbers are 705, 690, 825, 600

The list of prime factors of all numbers are

Prime factors of 705 are 3 x 5 x 47

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

The highest common occurrence is 3¹ x 5¹

Therefore, GCD of 705, 690, 825, 600 is 15.

Given numbers are 705, 690, 825, 600

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

Apply this formula for all numbers.

Step1:

LCM(705, 690) = 32430

GCD(705, 690) = ( 705 x 690 ) / 32430

= 705 / 690

= 705

Step2:

LCM(15, 825) = 825

GCD(15, 825) = ( 15 x 825 ) / 825

= 15 / 825

= 15

Step3:

LCM(15, 600) = 600

GCD(15, 600) = ( 15 x 600 ) / 600

= 15 / 600

= 15

So, Greatest Common Divisor of 705, 690, 825, 600 is 15

Here are some samples of GCD of Numbers calculations.

• GCD of 561, 440, 923, 453
• GCD of 176, 605, 628, 197
• GCD of 792, 113, 436, 931
• GCD of 735, 576, 201, 336
• GCD of 822, 839, 403, 415

Given numbers are 705, 690, 825, 600
The greatest common divisor of numbers 705, 690, 825, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 690, 825, 600 is 15.

1. What is the GCD of 705, 690, 825, 600?

GCD of given numbers 705, 690, 825, 600 is 15

2. How to calculate the greatest common divisor of 705, 690, 825, 600?

We can find the highest common divisor of 705, 690, 825, 600 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 705, 690, 825, 600 i.e 15.

3. How can I use the GCD of 705, 690, 825, 600Calculator?

Out the numbers 705, 690, 825, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.