GCD of 420, 428, 315, 705 Calculator

Given Input numbers are 420, 428, 315, 705

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

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

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 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

GCD of numbers is the greatest common divisor

So, the GCD (420, 428, 315, 705) = 1.

Given numbers are 420, 428, 315, 705

The list of prime factors of all numbers are

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 428 are 2 x 2 x 107

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

Prime factors of 705 are 3 x 5 x 47

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

Given numbers are 420, 428, 315, 705

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

Apply this formula for all numbers.

Step1:

LCM(420, 428) = 44940

GCD(420, 428) = ( 420 x 428 ) / 44940

= 420 / 428

= 420

Step2:

LCM(4, 315) = 1260

GCD(4, 315) = ( 4 x 315 ) / 1260

= 4 / 315

= 4

Step3:

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

= 1 / 705

= 1

So, Greatest Common Divisor of 420, 428, 315, 705 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 263, 393, 844, 678
• GCD of 668, 927, 702, 422
• GCD of 253, 118, 673, 102
• GCD of 824, 299, 704, 672
• GCD of 132, 879, 527, 253

Given numbers are 420, 428, 315, 705
The greatest common divisor of numbers 420, 428, 315, 705 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 428, 315, 705 is 1.

1. What is the GCD of 420, 428, 315, 705?

GCD of given numbers 420, 428, 315, 705 is 1

2. How to calculate the greatest common divisor of 420, 428, 315, 705?

We can find the highest common divisor of 420, 428, 315, 705 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 420, 428, 315, 705 i.e 1.

3. How can I use the GCD of 420, 428, 315, 705Calculator?

Out the numbers 420, 428, 315, 705 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.