GCD of 872, 604, 600, 140 Calculator

Given Input numbers are 872, 604, 600, 140

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

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 604 :

The positive integer divisors of 604 that completely divides 604 are.

1, 2, 4, 151, 302, 604

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 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

GCD of numbers is the greatest common divisor

So, the GCD (872, 604, 600, 140) = 4.

Given numbers are 872, 604, 600, 140

The list of prime factors of all numbers are

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 604 are 2 x 2 x 151

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

Prime factors of 140 are 2 x 2 x 5 x 7

The highest common occurrence is 2²

Therefore, GCD of 872, 604, 600, 140 is 4.

Given numbers are 872, 604, 600, 140

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

Apply this formula for all numbers.

Step1:

LCM(872, 604) = 131672

GCD(872, 604) = ( 872 x 604 ) / 131672

= 872 / 604

= 872

Step2:

LCM(4, 600) = 600

GCD(4, 600) = ( 4 x 600 ) / 600

= 4 / 600

= 4

Step3:

LCM(4, 140) = 140

GCD(4, 140) = ( 4 x 140 ) / 140

= 4 / 140

= 4

So, Greatest Common Divisor of 872, 604, 600, 140 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 521, 995, 161, 535
• GCD of 627, 734, 556, 830
• GCD of 283, 806, 703, 748
• GCD of 933, 972, 874, 186
• GCD of 920, 337, 330, 103

Given numbers are 872, 604, 600, 140
The greatest common divisor of numbers 872, 604, 600, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 604, 600, 140 is 4.

1. What is the GCD of 872, 604, 600, 140?

GCD of given numbers 872, 604, 600, 140 is 4

2. How to calculate the greatest common divisor of 872, 604, 600, 140?

We can find the highest common divisor of 872, 604, 600, 140 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 872, 604, 600, 140 i.e 4.

3. How can I use the GCD of 872, 604, 600, 140Calculator?

Out the numbers 872, 604, 600, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.