GCD of 400, 970, 570, 172 Calculator

Given Input numbers are 400, 970, 570, 172

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

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 970 :

The positive integer divisors of 970 that completely divides 970 are.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 570 :

The positive integer divisors of 570 that completely divides 570 are.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

GCD of numbers is the greatest common divisor

So, the GCD (400, 970, 570, 172) = 2.

Given numbers are 400, 970, 570, 172

The list of prime factors of all numbers are

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 970 are 2 x 5 x 97

Prime factors of 570 are 2 x 3 x 5 x 19

Prime factors of 172 are 2 x 2 x 43

The highest common occurrence is 2¹

Therefore, GCD of 400, 970, 570, 172 is 2.

Given numbers are 400, 970, 570, 172

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

Apply this formula for all numbers.

Step1:

LCM(400, 970) = 38800

GCD(400, 970) = ( 400 x 970 ) / 38800

= 400 / 970

= 400

Step2:

LCM(10, 570) = 570

GCD(10, 570) = ( 10 x 570 ) / 570

= 10 / 570

= 10

Step3:

LCM(10, 172) = 860

GCD(10, 172) = ( 10 x 172 ) / 860

= 10 / 172

= 10

So, Greatest Common Divisor of 400, 970, 570, 172 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 755, 125, 978, 236
• GCD of 944, 258, 618, 331
• GCD of 252, 716, 576, 846
• GCD of 636, 216, 460, 292
• GCD of 249, 920, 194, 651

Given numbers are 400, 970, 570, 172
The greatest common divisor of numbers 400, 970, 570, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 970, 570, 172 is 2.

1. What is the GCD of 400, 970, 570, 172?

GCD of given numbers 400, 970, 570, 172 is 2

2. How to calculate the greatest common divisor of 400, 970, 570, 172?

We can find the highest common divisor of 400, 970, 570, 172 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 400, 970, 570, 172 i.e 2.

3. How can I use the GCD of 400, 970, 570, 172Calculator?

Out the numbers 400, 970, 570, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.