GCD of 437, 392, 684, 748 Calculator

Given Input numbers are 437, 392, 684, 748

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

Divisors of 437 :

The positive integer divisors of 437 that completely divides 437 are.

1, 19, 23, 437

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 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

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

GCD of numbers is the greatest common divisor

So, the GCD (437, 392, 684, 748) = 1.

Given numbers are 437, 392, 684, 748

The list of prime factors of all numbers are

Prime factors of 437 are 19 x 23

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

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

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

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

Given numbers are 437, 392, 684, 748

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

Apply this formula for all numbers.

Step1:

LCM(437, 392) = 171304

GCD(437, 392) = ( 437 x 392 ) / 171304

= 437 / 392

= 437

Step2:

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

= 1 / 684

= 1

Step3:

LCM(1, 748) = 748

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

= 1 / 748

= 1

So, Greatest Common Divisor of 437, 392, 684, 748 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 383, 598, 475, 636
• GCD of 260, 867, 371, 753
• GCD of 534, 892, 933, 332
• GCD of 986, 706, 172, 314
• GCD of 355, 886, 972, 790

Given numbers are 437, 392, 684, 748
The greatest common divisor of numbers 437, 392, 684, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 437, 392, 684, 748 is 1.

1. What is the GCD of 437, 392, 684, 748?

GCD of given numbers 437, 392, 684, 748 is 1

2. How to calculate the greatest common divisor of 437, 392, 684, 748?

We can find the highest common divisor of 437, 392, 684, 748 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 437, 392, 684, 748 i.e 1.

3. How can I use the GCD of 437, 392, 684, 748Calculator?

Out the numbers 437, 392, 684, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.