GCD of 600, 565, 295, 920 Calculator

Given Input numbers are 600, 565, 295, 920

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

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

Divisors of 565 :

The positive integer divisors of 565 that completely divides 565 are.

1, 5, 113, 565

Divisors of 295 :

The positive integer divisors of 295 that completely divides 295 are.

1, 5, 59, 295

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 (600, 565, 295, 920) = 5.

Given numbers are 600, 565, 295, 920

The list of prime factors of all numbers are

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

Prime factors of 565 are 5 x 113

Prime factors of 295 are 5 x 59

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

The highest common occurrence is 5¹

Therefore, GCD of 600, 565, 295, 920 is 5.

Given numbers are 600, 565, 295, 920

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

Apply this formula for all numbers.

Step1:

LCM(600, 565) = 67800

GCD(600, 565) = ( 600 x 565 ) / 67800

= 600 / 565

= 600

Step2:

LCM(5, 295) = 295

GCD(5, 295) = ( 5 x 295 ) / 295

= 5 / 295

= 5

Step3:

LCM(5, 920) = 920

GCD(5, 920) = ( 5 x 920 ) / 920

= 5 / 920

= 5

So, Greatest Common Divisor of 600, 565, 295, 920 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 629, 674, 968, 990
• GCD of 494, 983, 795, 953
• GCD of 501, 619, 112, 171
• GCD of 260, 994, 284, 476
• GCD of 776, 987, 760, 487

Given numbers are 600, 565, 295, 920
The greatest common divisor of numbers 600, 565, 295, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 565, 295, 920 is 5.

1. What is the GCD of 600, 565, 295, 920?

GCD of given numbers 600, 565, 295, 920 is 5

2. How to calculate the greatest common divisor of 600, 565, 295, 920?

We can find the highest common divisor of 600, 565, 295, 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 600, 565, 295, 920 i.e 5.

3. How can I use the GCD of 600, 565, 295, 920Calculator?

Out the numbers 600, 565, 295, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.