GCD of 172, 788, 782, 400 Calculator

Given Input numbers are 172, 788, 782, 400

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 788 :

The positive integer divisors of 788 that completely divides 788 are.

1, 2, 4, 197, 394, 788

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

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

GCD of numbers is the greatest common divisor

So, the GCD (172, 788, 782, 400) = 2.

Given numbers are 172, 788, 782, 400

The list of prime factors of all numbers are

Prime factors of 172 are 2 x 2 x 43

Prime factors of 788 are 2 x 2 x 197

Prime factors of 782 are 2 x 17 x 23

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

The highest common occurrence is 2¹

Therefore, GCD of 172, 788, 782, 400 is 2.

Given numbers are 172, 788, 782, 400

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

Apply this formula for all numbers.

Step1:

LCM(172, 788) = 33884

GCD(172, 788) = ( 172 x 788 ) / 33884

= 172 / 788

= 172

Step2:

LCM(4, 782) = 1564

GCD(4, 782) = ( 4 x 782 ) / 1564

= 4 / 782

= 4

Step3:

LCM(2, 400) = 400

GCD(2, 400) = ( 2 x 400 ) / 400

= 2 / 400

= 2

So, Greatest Common Divisor of 172, 788, 782, 400 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 277, 182, 607, 276
• GCD of 695, 365, 235, 882
• GCD of 914, 206, 487, 795
• GCD of 414, 739, 853, 621
• GCD of 720, 871, 573, 820

Given numbers are 172, 788, 782, 400
The greatest common divisor of numbers 172, 788, 782, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 172, 788, 782, 400 is 2.

1. What is the GCD of 172, 788, 782, 400?

GCD of given numbers 172, 788, 782, 400 is 2

2. How to calculate the greatest common divisor of 172, 788, 782, 400?

We can find the highest common divisor of 172, 788, 782, 400 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, 788, 782, 400 i.e 2.

3. How can I use the GCD of 172, 788, 782, 400Calculator?

Out the numbers 172, 788, 782, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.