GCD of 408, 151, 748, 420 Calculator

Given Input numbers are 408, 151, 748, 420

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

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 151 :

The positive integer divisors of 151 that completely divides 151 are.

1, 151

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

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

GCD of numbers is the greatest common divisor

So, the GCD (408, 151, 748, 420) = 1.

Given numbers are 408, 151, 748, 420

The list of prime factors of all numbers are

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 151 are 151

Prime factors of 748 are 2 x 2 x 11 x 17

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

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

Given numbers are 408, 151, 748, 420

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

Apply this formula for all numbers.

Step1:

LCM(408, 151) = 61608

GCD(408, 151) = ( 408 x 151 ) / 61608

= 408 / 151

= 408

Step2:

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

= 1 / 748

= 1

Step3:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

So, Greatest Common Divisor of 408, 151, 748, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 793, 990, 975, 779
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Given numbers are 408, 151, 748, 420
The greatest common divisor of numbers 408, 151, 748, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 408, 151, 748, 420 is 1.

1. What is the GCD of 408, 151, 748, 420?

GCD of given numbers 408, 151, 748, 420 is 1

2. How to calculate the greatest common divisor of 408, 151, 748, 420?

We can find the highest common divisor of 408, 151, 748, 420 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 408, 151, 748, 420 i.e 1.

3. How can I use the GCD of 408, 151, 748, 420Calculator?

Out the numbers 408, 151, 748, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.