GCD of 172, 220, 870, 792 Calculator

Given Input numbers are 172, 220, 870, 792

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

Divisors of 172 :

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

1, 2, 4, 43, 86, 172

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 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

GCD of numbers is the greatest common divisor

So, the GCD (172, 220, 870, 792) = 2.

Given numbers are 172, 220, 870, 792

The list of prime factors of all numbers are

Prime factors of 172 are 2 x 2 x 43

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

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

The highest common occurrence is 2¹

Therefore, GCD of 172, 220, 870, 792 is 2.

Given numbers are 172, 220, 870, 792

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

Apply this formula for all numbers.

Step1:

LCM(172, 220) = 9460

GCD(172, 220) = ( 172 x 220 ) / 9460

= 172 / 220

= 172

Step2:

LCM(4, 870) = 1740

GCD(4, 870) = ( 4 x 870 ) / 1740

= 4 / 870

= 4

Step3:

LCM(2, 792) = 792

GCD(2, 792) = ( 2 x 792 ) / 792

= 2 / 792

= 2

So, Greatest Common Divisor of 172, 220, 870, 792 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 738, 749, 114, 435
• GCD of 199, 219, 634, 437
• GCD of 310, 422, 951, 212
• GCD of 435, 820, 393, 729
• GCD of 573, 969, 206, 561

Given numbers are 172, 220, 870, 792
The greatest common divisor of numbers 172, 220, 870, 792 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 172, 220, 870, 792 is 2.

1. What is the GCD of 172, 220, 870, 792?

GCD of given numbers 172, 220, 870, 792 is 2

2. How to calculate the greatest common divisor of 172, 220, 870, 792?

We can find the highest common divisor of 172, 220, 870, 792 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 172, 220, 870, 792 i.e 2.

3. How can I use the GCD of 172, 220, 870, 792Calculator?

Out the numbers 172, 220, 870, 792 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.