GCD of 168, 470, 420, 652 Calculator

Given Input numbers are 168, 470, 420, 652

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

Divisors of 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 652 :

The positive integer divisors of 652 that completely divides 652 are.

1, 2, 4, 163, 326, 652

GCD of numbers is the greatest common divisor

So, the GCD (168, 470, 420, 652) = 2.

Given numbers are 168, 470, 420, 652

The list of prime factors of all numbers are

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

Prime factors of 470 are 2 x 5 x 47

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 652 are 2 x 2 x 163

The highest common occurrence is 2¹

Therefore, GCD of 168, 470, 420, 652 is 2.

Given numbers are 168, 470, 420, 652

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

Apply this formula for all numbers.

Step1:

LCM(168, 470) = 39480

GCD(168, 470) = ( 168 x 470 ) / 39480

= 168 / 470

= 168

Step2:

LCM(2, 420) = 420

GCD(2, 420) = ( 2 x 420 ) / 420

= 2 / 420

= 2

Step3:

LCM(2, 652) = 652

GCD(2, 652) = ( 2 x 652 ) / 652

= 2 / 652

= 2

So, Greatest Common Divisor of 168, 470, 420, 652 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 649, 228, 240, 835
• GCD of 444, 287, 119, 993
• GCD of 582, 947, 397, 721
• GCD of 496, 800, 977, 108
• GCD of 115, 433, 191, 544

Given numbers are 168, 470, 420, 652
The greatest common divisor of numbers 168, 470, 420, 652 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 168, 470, 420, 652 is 2.

1. What is the GCD of 168, 470, 420, 652?

GCD of given numbers 168, 470, 420, 652 is 2

2. How to calculate the greatest common divisor of 168, 470, 420, 652?

We can find the highest common divisor of 168, 470, 420, 652 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 168, 470, 420, 652 i.e 2.

3. How can I use the GCD of 168, 470, 420, 652Calculator?

Out the numbers 168, 470, 420, 652 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.