GCD of 348, 724, 400, 469 Calculator

Given Input numbers are 348, 724, 400, 469

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

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 469 :

The positive integer divisors of 469 that completely divides 469 are.

1, 7, 67, 469

GCD of numbers is the greatest common divisor

So, the GCD (348, 724, 400, 469) = 1.

Given numbers are 348, 724, 400, 469

The list of prime factors of all numbers are

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 724 are 2 x 2 x 181

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 469 are 7 x 67

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

Given numbers are 348, 724, 400, 469

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

Apply this formula for all numbers.

Step1:

LCM(348, 724) = 62988

GCD(348, 724) = ( 348 x 724 ) / 62988

= 348 / 724

= 348

Step2:

LCM(4, 400) = 400

GCD(4, 400) = ( 4 x 400 ) / 400

= 4 / 400

= 4

Step3:

LCM(4, 469) = 1876

GCD(4, 469) = ( 4 x 469 ) / 1876

= 4 / 469

= 4

So, Greatest Common Divisor of 348, 724, 400, 469 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 594, 603, 470, 626
• GCD of 795, 527, 286, 394
• GCD of 952, 701, 726, 837
• GCD of 834, 751, 865, 454
• GCD of 321, 420, 718, 522

Given numbers are 348, 724, 400, 469
The greatest common divisor of numbers 348, 724, 400, 469 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 348, 724, 400, 469 is 1.

1. What is the GCD of 348, 724, 400, 469?

GCD of given numbers 348, 724, 400, 469 is 1

2. How to calculate the greatest common divisor of 348, 724, 400, 469?

We can find the highest common divisor of 348, 724, 400, 469 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 348, 724, 400, 469 i.e 1.

3. How can I use the GCD of 348, 724, 400, 469Calculator?

Out the numbers 348, 724, 400, 469 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.