GCD of 342, 320, 487, 748 Calculator

Given Input numbers are 342, 320, 487, 748

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

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 487 :

The positive integer divisors of 487 that completely divides 487 are.

1, 487

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 (342, 320, 487, 748) = 1.

Given numbers are 342, 320, 487, 748

The list of prime factors of all numbers are

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 487 are 487

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 342, 320, 487, 748

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

Apply this formula for all numbers.

Step1:

LCM(342, 320) = 54720

GCD(342, 320) = ( 342 x 320 ) / 54720

= 342 / 320

= 342

Step2:

LCM(2, 487) = 974

GCD(2, 487) = ( 2 x 487 ) / 974

= 2 / 487

= 2

Step3:

LCM(1, 748) = 748

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

= 1 / 748

= 1

So, Greatest Common Divisor of 342, 320, 487, 748 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 679, 212, 386, 643
• GCD of 900, 910, 626, 113
• GCD of 801, 141, 442, 957
• GCD of 228, 419, 737, 816
• GCD of 737, 490, 932, 341

Given numbers are 342, 320, 487, 748
The greatest common divisor of numbers 342, 320, 487, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 320, 487, 748 is 1.

1. What is the GCD of 342, 320, 487, 748?

GCD of given numbers 342, 320, 487, 748 is 1

2. How to calculate the greatest common divisor of 342, 320, 487, 748?

We can find the highest common divisor of 342, 320, 487, 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 342, 320, 487, 748 i.e 1.

3. How can I use the GCD of 342, 320, 487, 748Calculator?

Out the numbers 342, 320, 487, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.