GCD of 172, 998, 462, 632 Calculator

Given Input numbers are 172, 998, 462, 632

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 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 632 :

The positive integer divisors of 632 that completely divides 632 are.

1, 2, 4, 8, 79, 158, 316, 632

GCD of numbers is the greatest common divisor

So, the GCD (172, 998, 462, 632) = 2.

Given numbers are 172, 998, 462, 632

The list of prime factors of all numbers are

Prime factors of 172 are 2 x 2 x 43

Prime factors of 998 are 2 x 499

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 632 are 2 x 2 x 2 x 79

The highest common occurrence is 2¹

Therefore, GCD of 172, 998, 462, 632 is 2.

Given numbers are 172, 998, 462, 632

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

Apply this formula for all numbers.

Step1:

LCM(172, 998) = 85828

GCD(172, 998) = ( 172 x 998 ) / 85828

= 172 / 998

= 172

Step2:

LCM(2, 462) = 462

GCD(2, 462) = ( 2 x 462 ) / 462

= 2 / 462

= 2

Step3:

LCM(2, 632) = 632

GCD(2, 632) = ( 2 x 632 ) / 632

= 2 / 632

= 2

So, Greatest Common Divisor of 172, 998, 462, 632 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 884, 787, 263, 111
• GCD of 315, 198, 881, 571
• GCD of 371, 756, 740, 963
• GCD of 974, 874, 739, 599
• GCD of 889, 763, 982, 554

Given numbers are 172, 998, 462, 632
The greatest common divisor of numbers 172, 998, 462, 632 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 172, 998, 462, 632 is 2.

1. What is the GCD of 172, 998, 462, 632?

GCD of given numbers 172, 998, 462, 632 is 2

2. How to calculate the greatest common divisor of 172, 998, 462, 632?

We can find the highest common divisor of 172, 998, 462, 632 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, 998, 462, 632 i.e 2.

3. How can I use the GCD of 172, 998, 462, 632Calculator?

Out the numbers 172, 998, 462, 632 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.