GCD of 369, 392, 474, 343 Calculator

Given Input numbers are 369, 392, 474, 343

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

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

GCD of numbers is the greatest common divisor

So, the GCD (369, 392, 474, 343) = 1.

Given numbers are 369, 392, 474, 343

The list of prime factors of all numbers are

Prime factors of 369 are 3 x 3 x 41

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 474 are 2 x 3 x 79

Prime factors of 343 are 7 x 7 x 7

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

Given numbers are 369, 392, 474, 343

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

Apply this formula for all numbers.

Step1:

LCM(369, 392) = 144648

GCD(369, 392) = ( 369 x 392 ) / 144648

= 369 / 392

= 369

Step2:

LCM(1, 474) = 474

GCD(1, 474) = ( 1 x 474 ) / 474

= 1 / 474

= 1

Step3:

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

= 1 / 343

= 1

So, Greatest Common Divisor of 369, 392, 474, 343 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 489, 302, 530, 956
• GCD of 753, 369, 853, 469
• GCD of 966, 979, 972, 233
• GCD of 596, 665, 754, 581
• GCD of 858, 236, 681, 336

Given numbers are 369, 392, 474, 343
The greatest common divisor of numbers 369, 392, 474, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 392, 474, 343 is 1.

1. What is the GCD of 369, 392, 474, 343?

GCD of given numbers 369, 392, 474, 343 is 1

2. How to calculate the greatest common divisor of 369, 392, 474, 343?

We can find the highest common divisor of 369, 392, 474, 343 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 369, 392, 474, 343 i.e 1.

3. How can I use the GCD of 369, 392, 474, 343Calculator?

Out the numbers 369, 392, 474, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.