GCD of 600, 620, 975, 955 Calculator

Given Input numbers are 600, 620, 975, 955

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 620 :

The positive integer divisors of 620 that completely divides 620 are.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 955 :

The positive integer divisors of 955 that completely divides 955 are.

1, 5, 191, 955

GCD of numbers is the greatest common divisor

So, the GCD (600, 620, 975, 955) = 5.

Given numbers are 600, 620, 975, 955

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 620 are 2 x 2 x 5 x 31

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 955 are 5 x 191

The highest common occurrence is 5¹

Therefore, GCD of 600, 620, 975, 955 is 5.

Given numbers are 600, 620, 975, 955

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

Apply this formula for all numbers.

Step1:

LCM(600, 620) = 18600

GCD(600, 620) = ( 600 x 620 ) / 18600

= 600 / 620

= 600

Step2:

LCM(20, 975) = 3900

GCD(20, 975) = ( 20 x 975 ) / 3900

= 20 / 975

= 20

Step3:

LCM(5, 955) = 955

GCD(5, 955) = ( 5 x 955 ) / 955

= 5 / 955

= 5

So, Greatest Common Divisor of 600, 620, 975, 955 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 661, 441, 122, 419
• GCD of 452, 536, 535, 388
• GCD of 113, 768, 475, 746
• GCD of 310, 918, 515, 921
• GCD of 840, 761, 348, 988

Given numbers are 600, 620, 975, 955
The greatest common divisor of numbers 600, 620, 975, 955 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 620, 975, 955 is 5.

1. What is the GCD of 600, 620, 975, 955?

GCD of given numbers 600, 620, 975, 955 is 5

2. How to calculate the greatest common divisor of 600, 620, 975, 955?

We can find the highest common divisor of 600, 620, 975, 955 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, 620, 975, 955 i.e 5.

3. How can I use the GCD of 600, 620, 975, 955Calculator?

Out the numbers 600, 620, 975, 955 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.