GCD of 616, 242, 972, 176 Calculator

Given Input numbers are 616, 242, 972, 176

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

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 176 :

The positive integer divisors of 176 that completely divides 176 are.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

GCD of numbers is the greatest common divisor

So, the GCD (616, 242, 972, 176) = 2.

Given numbers are 616, 242, 972, 176

The list of prime factors of all numbers are

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 242 are 2 x 11 x 11

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 176 are 2 x 2 x 2 x 2 x 11

The highest common occurrence is 2¹

Therefore, GCD of 616, 242, 972, 176 is 2.

Given numbers are 616, 242, 972, 176

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

Apply this formula for all numbers.

Step1:

LCM(616, 242) = 6776

GCD(616, 242) = ( 616 x 242 ) / 6776

= 616 / 242

= 616

Step2:

LCM(22, 972) = 10692

GCD(22, 972) = ( 22 x 972 ) / 10692

= 22 / 972

= 22

Step3:

LCM(2, 176) = 176

GCD(2, 176) = ( 2 x 176 ) / 176

= 2 / 176

= 2

So, Greatest Common Divisor of 616, 242, 972, 176 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 348, 687, 453, 658
• GCD of 205, 823, 485, 123
• GCD of 892, 799, 721, 960
• GCD of 286, 547, 764, 629
• GCD of 676, 961, 125, 323

Given numbers are 616, 242, 972, 176
The greatest common divisor of numbers 616, 242, 972, 176 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 616, 242, 972, 176 is 2.

1. What is the GCD of 616, 242, 972, 176?

GCD of given numbers 616, 242, 972, 176 is 2

2. How to calculate the greatest common divisor of 616, 242, 972, 176?

We can find the highest common divisor of 616, 242, 972, 176 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 616, 242, 972, 176 i.e 2.

3. How can I use the GCD of 616, 242, 972, 176Calculator?

Out the numbers 616, 242, 972, 176 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.