GCD of 315, 820, 554, 131 Calculator

Given Input numbers are 315, 820, 554, 131

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

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

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 554 :

The positive integer divisors of 554 that completely divides 554 are.

1, 2, 277, 554

Divisors of 131 :

The positive integer divisors of 131 that completely divides 131 are.

1, 131

GCD of numbers is the greatest common divisor

So, the GCD (315, 820, 554, 131) = 1.

Given numbers are 315, 820, 554, 131

The list of prime factors of all numbers are

Prime factors of 315 are 3 x 3 x 5 x 7

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

Prime factors of 554 are 2 x 277

Prime factors of 131 are 131

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

Given numbers are 315, 820, 554, 131

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

Apply this formula for all numbers.

Step1:

LCM(315, 820) = 51660

GCD(315, 820) = ( 315 x 820 ) / 51660

= 315 / 820

= 315

Step2:

LCM(5, 554) = 2770

GCD(5, 554) = ( 5 x 554 ) / 2770

= 5 / 554

= 5

Step3:

LCM(1, 131) = 131

GCD(1, 131) = ( 1 x 131 ) / 131

= 1 / 131

= 1

So, Greatest Common Divisor of 315, 820, 554, 131 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 207, 407, 998, 384
• GCD of 387, 176, 943, 426
• GCD of 793, 491, 404, 436
• GCD of 987, 538, 314, 860
• GCD of 703, 898, 537, 232

Given numbers are 315, 820, 554, 131
The greatest common divisor of numbers 315, 820, 554, 131 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 315, 820, 554, 131 is 1.

1. What is the GCD of 315, 820, 554, 131?

GCD of given numbers 315, 820, 554, 131 is 1

2. How to calculate the greatest common divisor of 315, 820, 554, 131?

We can find the highest common divisor of 315, 820, 554, 131 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 315, 820, 554, 131 i.e 1.

3. How can I use the GCD of 315, 820, 554, 131Calculator?

Out the numbers 315, 820, 554, 131 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.