GCD of 172, 784, 98, 252 Calculator

Given Input numbers are 172, 784, 98, 252

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 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 98 :

The positive integer divisors of 98 that completely divides 98 are.

1, 2, 7, 14, 49, 98

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

GCD of numbers is the greatest common divisor

So, the GCD (172, 784, 98, 252) = 2.

Given numbers are 172, 784, 98, 252

The list of prime factors of all numbers are

Prime factors of 172 are 2 x 2 x 43

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 98 are 2 x 7 x 7

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 172, 784, 98, 252 is 2.

Given numbers are 172, 784, 98, 252

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

Apply this formula for all numbers.

Step1:

LCM(172, 784) = 33712

GCD(172, 784) = ( 172 x 784 ) / 33712

= 172 / 784

= 172

Step2:

LCM(4, 98) = 196

GCD(4, 98) = ( 4 x 98 ) / 196

= 4 / 98

= 4

Step3:

LCM(2, 252) = 252

GCD(2, 252) = ( 2 x 252 ) / 252

= 2 / 252

= 2

So, Greatest Common Divisor of 172, 784, 98, 252 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 534, 486, 99, 251
• GCD of 278, 819, 60, 182
• GCD of 174, 819, 84, 529
• GCD of 566, 361, 36, 941
• GCD of 286, 867, 85, 462

Given numbers are 172, 784, 98, 252
The greatest common divisor of numbers 172, 784, 98, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 172, 784, 98, 252 is 2.

1. What is the GCD of 172, 784, 98, 252?

GCD of given numbers 172, 784, 98, 252 is 2

2. How to calculate the greatest common divisor of 172, 784, 98, 252?

We can find the highest common divisor of 172, 784, 98, 252 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, 784, 98, 252 i.e 2.

3. How can I use the GCD of 172, 784, 98, 252Calculator?

Out the numbers 172, 784, 98, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.