GCD of 474, 996, 182, 220 Calculator

Given Input numbers are 474, 996, 182, 220

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

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 182 :

The positive integer divisors of 182 that completely divides 182 are.

1, 2, 7, 13, 14, 26, 91, 182

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

GCD of numbers is the greatest common divisor

So, the GCD (474, 996, 182, 220) = 2.

Given numbers are 474, 996, 182, 220

The list of prime factors of all numbers are

Prime factors of 474 are 2 x 3 x 79

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 182 are 2 x 7 x 13

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

The highest common occurrence is 2¹

Therefore, GCD of 474, 996, 182, 220 is 2.

Given numbers are 474, 996, 182, 220

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

Apply this formula for all numbers.

Step1:

LCM(474, 996) = 78684

GCD(474, 996) = ( 474 x 996 ) / 78684

= 474 / 996

= 474

Step2:

LCM(6, 182) = 546

GCD(6, 182) = ( 6 x 182 ) / 546

= 6 / 182

= 6

Step3:

LCM(2, 220) = 220

GCD(2, 220) = ( 2 x 220 ) / 220

= 2 / 220

= 2

So, Greatest Common Divisor of 474, 996, 182, 220 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 509, 426, 848, 311
• GCD of 352, 503, 254, 521
• GCD of 812, 773, 583, 542
• GCD of 208, 971, 293, 371
• GCD of 217, 675, 196, 279

Given numbers are 474, 996, 182, 220
The greatest common divisor of numbers 474, 996, 182, 220 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 474, 996, 182, 220 is 2.

1. What is the GCD of 474, 996, 182, 220?

GCD of given numbers 474, 996, 182, 220 is 2

2. How to calculate the greatest common divisor of 474, 996, 182, 220?

We can find the highest common divisor of 474, 996, 182, 220 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 474, 996, 182, 220 i.e 2.

3. How can I use the GCD of 474, 996, 182, 220Calculator?

Out the numbers 474, 996, 182, 220 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.