GCD of 734, 401, 420, 312 Calculator

Given Input numbers are 734, 401, 420, 312

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

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

Divisors of 401 :

The positive integer divisors of 401 that completely divides 401 are.

1, 401

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 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

GCD of numbers is the greatest common divisor

So, the GCD (734, 401, 420, 312) = 1.

Given numbers are 734, 401, 420, 312

The list of prime factors of all numbers are

Prime factors of 734 are 2 x 367

Prime factors of 401 are 401

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

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

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

Given numbers are 734, 401, 420, 312

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

Apply this formula for all numbers.

Step1:

LCM(734, 401) = 294334

GCD(734, 401) = ( 734 x 401 ) / 294334

= 734 / 401

= 734

Step2:

LCM(1, 420) = 420

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

= 1 / 420

= 1

Step3:

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

= 1 / 312

= 1

So, Greatest Common Divisor of 734, 401, 420, 312 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 499, 455, 626, 453
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Given numbers are 734, 401, 420, 312
The greatest common divisor of numbers 734, 401, 420, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 734, 401, 420, 312 is 1.

1. What is the GCD of 734, 401, 420, 312?

GCD of given numbers 734, 401, 420, 312 is 1

2. How to calculate the greatest common divisor of 734, 401, 420, 312?

We can find the highest common divisor of 734, 401, 420, 312 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 734, 401, 420, 312 i.e 1.

3. How can I use the GCD of 734, 401, 420, 312Calculator?

Out the numbers 734, 401, 420, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.