GCD of 107, 285, 362, 424 Calculator

Given Input numbers are 107, 285, 362, 424

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

Divisors of 107 :

The positive integer divisors of 107 that completely divides 107 are.

1, 107

Divisors of 285 :

The positive integer divisors of 285 that completely divides 285 are.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

GCD of numbers is the greatest common divisor

So, the GCD (107, 285, 362, 424) = 1.

Given numbers are 107, 285, 362, 424

The list of prime factors of all numbers are

Prime factors of 107 are 107

Prime factors of 285 are 3 x 5 x 19

Prime factors of 362 are 2 x 181

Prime factors of 424 are 2 x 2 x 2 x 53

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

Given numbers are 107, 285, 362, 424

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

Apply this formula for all numbers.

Step1:

LCM(107, 285) = 30495

GCD(107, 285) = ( 107 x 285 ) / 30495

= 107 / 285

= 107

Step2:

LCM(1, 362) = 362

GCD(1, 362) = ( 1 x 362 ) / 362

= 1 / 362

= 1

Step3:

LCM(1, 424) = 424

GCD(1, 424) = ( 1 x 424 ) / 424

= 1 / 424

= 1

So, Greatest Common Divisor of 107, 285, 362, 424 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 162, 587, 109, 915
• GCD of 763, 755, 344, 549
• GCD of 418, 120, 951, 201
• GCD of 738, 186, 813, 847
• GCD of 194, 622, 588, 559

Given numbers are 107, 285, 362, 424
The greatest common divisor of numbers 107, 285, 362, 424 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 107, 285, 362, 424 is 1.

1. What is the GCD of 107, 285, 362, 424?

GCD of given numbers 107, 285, 362, 424 is 1

2. How to calculate the greatest common divisor of 107, 285, 362, 424?

We can find the highest common divisor of 107, 285, 362, 424 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 107, 285, 362, 424 i.e 1.

3. How can I use the GCD of 107, 285, 362, 424Calculator?

Out the numbers 107, 285, 362, 424 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.