GCD of 147, 602, 820, 312 Calculator

Given Input numbers are 147, 602, 820, 312

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

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

Divisors of 602 :

The positive integer divisors of 602 that completely divides 602 are.

1, 2, 7, 14, 43, 86, 301, 602

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

GCD of numbers is the greatest common divisor

So, the GCD (147, 602, 820, 312) = 1.

Given numbers are 147, 602, 820, 312

The list of prime factors of all numbers are

Prime factors of 147 are 3 x 7 x 7

Prime factors of 602 are 2 x 7 x 43

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 147, 602, 820, 312

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

Apply this formula for all numbers.

Step1:

LCM(147, 602) = 12642

GCD(147, 602) = ( 147 x 602 ) / 12642

= 147 / 602

= 147

Step2:

LCM(7, 820) = 5740

GCD(7, 820) = ( 7 x 820 ) / 5740

= 7 / 820

= 7

Step3:

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

= 1 / 312

= 1

So, Greatest Common Divisor of 147, 602, 820, 312 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 641, 511, 500, 723
• GCD of 459, 190, 179, 642
• GCD of 676, 319, 241, 139
• GCD of 668, 794, 136, 867
• GCD of 849, 699, 421, 408

Given numbers are 147, 602, 820, 312
The greatest common divisor of numbers 147, 602, 820, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 147, 602, 820, 312 is 1.

1. What is the GCD of 147, 602, 820, 312?

GCD of given numbers 147, 602, 820, 312 is 1

2. How to calculate the greatest common divisor of 147, 602, 820, 312?

We can find the highest common divisor of 147, 602, 820, 312 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 147, 602, 820, 312 i.e 1.

3. How can I use the GCD of 147, 602, 820, 312Calculator?

Out the numbers 147, 602, 820, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.