GCD of 476, 182, 278, 658 Calculator

Given Input numbers are 476, 182, 278, 658

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

Divisors of 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 182 :

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

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

Divisors of 278 :

The positive integer divisors of 278 that completely divides 278 are.

1, 2, 139, 278

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

GCD of numbers is the greatest common divisor

So, the GCD (476, 182, 278, 658) = 2.

Given numbers are 476, 182, 278, 658

The list of prime factors of all numbers are

Prime factors of 476 are 2 x 2 x 7 x 17

Prime factors of 182 are 2 x 7 x 13

Prime factors of 278 are 2 x 139

Prime factors of 658 are 2 x 7 x 47

The highest common occurrence is 2¹

Therefore, GCD of 476, 182, 278, 658 is 2.

Given numbers are 476, 182, 278, 658

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

Apply this formula for all numbers.

Step1:

LCM(476, 182) = 6188

GCD(476, 182) = ( 476 x 182 ) / 6188

= 476 / 182

= 476

Step2:

LCM(14, 278) = 1946

GCD(14, 278) = ( 14 x 278 ) / 1946

= 14 / 278

= 14

Step3:

LCM(2, 658) = 658

GCD(2, 658) = ( 2 x 658 ) / 658

= 2 / 658

= 2

So, Greatest Common Divisor of 476, 182, 278, 658 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 333, 890, 685, 136
• GCD of 946, 732, 656, 220
• GCD of 492, 918, 439, 704
• GCD of 399, 502, 122, 974
• GCD of 232, 192, 812, 802

Given numbers are 476, 182, 278, 658
The greatest common divisor of numbers 476, 182, 278, 658 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 476, 182, 278, 658 is 2.

1. What is the GCD of 476, 182, 278, 658?

GCD of given numbers 476, 182, 278, 658 is 2

2. How to calculate the greatest common divisor of 476, 182, 278, 658?

We can find the highest common divisor of 476, 182, 278, 658 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 476, 182, 278, 658 i.e 2.

3. How can I use the GCD of 476, 182, 278, 658Calculator?

Out the numbers 476, 182, 278, 658 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.