GCD of 600, 435, 135, 220 Calculator

Given Input numbers are 600, 435, 135, 220

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 435 :

The positive integer divisors of 435 that completely divides 435 are.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

GCD of numbers is the greatest common divisor

So, the GCD (600, 435, 135, 220) = 5.

Given numbers are 600, 435, 135, 220

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 435 are 3 x 5 x 29

Prime factors of 135 are 3 x 3 x 3 x 5

Prime factors of 220 are 2 x 2 x 5 x 11

The highest common occurrence is 5¹

Therefore, GCD of 600, 435, 135, 220 is 5.

Given numbers are 600, 435, 135, 220

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

Apply this formula for all numbers.

Step1:

LCM(600, 435) = 17400

GCD(600, 435) = ( 600 x 435 ) / 17400

= 600 / 435

= 600

Step2:

LCM(15, 135) = 135

GCD(15, 135) = ( 15 x 135 ) / 135

= 15 / 135

= 15

Step3:

LCM(15, 220) = 660

GCD(15, 220) = ( 15 x 220 ) / 660

= 15 / 220

= 15

So, Greatest Common Divisor of 600, 435, 135, 220 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 911, 250, 959, 352
• GCD of 524, 463, 377, 821
• GCD of 255, 466, 260, 549
• GCD of 305, 779, 785, 724
• GCD of 357, 358, 755, 260

Given numbers are 600, 435, 135, 220
The greatest common divisor of numbers 600, 435, 135, 220 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 435, 135, 220 is 5.

1. What is the GCD of 600, 435, 135, 220?

GCD of given numbers 600, 435, 135, 220 is 5

2. How to calculate the greatest common divisor of 600, 435, 135, 220?

We can find the highest common divisor of 600, 435, 135, 220 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, 435, 135, 220 i.e 5.

3. How can I use the GCD of 600, 435, 135, 220Calculator?

Out the numbers 600, 435, 135, 220 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.