GCD of 420, 147, 458, 364 Calculator

Given Input numbers are 420, 147, 458, 364

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 147 :

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

1, 3, 7, 21, 49, 147

Divisors of 458 :

The positive integer divisors of 458 that completely divides 458 are.

1, 2, 229, 458

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

GCD of numbers is the greatest common divisor

So, the GCD (420, 147, 458, 364) = 1.

Given numbers are 420, 147, 458, 364

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 147 are 3 x 7 x 7

Prime factors of 458 are 2 x 229

Prime factors of 364 are 2 x 2 x 7 x 13

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

Given numbers are 420, 147, 458, 364

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

Apply this formula for all numbers.

Step1:

LCM(420, 147) = 2940

GCD(420, 147) = ( 420 x 147 ) / 2940

= 420 / 147

= 420

Step2:

LCM(21, 458) = 9618

GCD(21, 458) = ( 21 x 458 ) / 9618

= 21 / 458

= 21

Step3:

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

= 1 / 364

= 1

So, Greatest Common Divisor of 420, 147, 458, 364 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 373, 763, 964, 761
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• GCD of 395, 510, 190, 655
• GCD of 408, 485, 228, 924

Given numbers are 420, 147, 458, 364
The greatest common divisor of numbers 420, 147, 458, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 147, 458, 364 is 1.

1. What is the GCD of 420, 147, 458, 364?

GCD of given numbers 420, 147, 458, 364 is 1

2. How to calculate the greatest common divisor of 420, 147, 458, 364?

We can find the highest common divisor of 420, 147, 458, 364 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, 147, 458, 364 i.e 1.

3. How can I use the GCD of 420, 147, 458, 364Calculator?

Out the numbers 420, 147, 458, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.