GCD of 600, 106, 220, 670 Calculator

Given Input numbers are 600, 106, 220, 670

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 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

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

Divisors of 670 :

The positive integer divisors of 670 that completely divides 670 are.

1, 2, 5, 10, 67, 134, 335, 670

GCD of numbers is the greatest common divisor

So, the GCD (600, 106, 220, 670) = 2.

Given numbers are 600, 106, 220, 670

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 106 are 2 x 53

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

Prime factors of 670 are 2 x 5 x 67

The highest common occurrence is 2¹

Therefore, GCD of 600, 106, 220, 670 is 2.

Given numbers are 600, 106, 220, 670

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

Apply this formula for all numbers.

Step1:

LCM(600, 106) = 31800

GCD(600, 106) = ( 600 x 106 ) / 31800

= 600 / 106

= 600

Step2:

LCM(2, 220) = 220

GCD(2, 220) = ( 2 x 220 ) / 220

= 2 / 220

= 2

Step3:

LCM(2, 670) = 670

GCD(2, 670) = ( 2 x 670 ) / 670

= 2 / 670

= 2

So, Greatest Common Divisor of 600, 106, 220, 670 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 272, 479, 518, 602
• GCD of 464, 868, 674, 917
• GCD of 980, 218, 844, 279
• GCD of 496, 619, 855, 191
• GCD of 306, 451, 831, 580

Given numbers are 600, 106, 220, 670
The greatest common divisor of numbers 600, 106, 220, 670 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 106, 220, 670 is 2.

1. What is the GCD of 600, 106, 220, 670?

GCD of given numbers 600, 106, 220, 670 is 2

2. How to calculate the greatest common divisor of 600, 106, 220, 670?

We can find the highest common divisor of 600, 106, 220, 670 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, 106, 220, 670 i.e 2.

3. How can I use the GCD of 600, 106, 220, 670Calculator?

Out the numbers 600, 106, 220, 670 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.