GCD of 678, 748, 332, 537 Calculator

Given Input numbers are 678, 748, 332, 537

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

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

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

Divisors of 332 :

The positive integer divisors of 332 that completely divides 332 are.

1, 2, 4, 83, 166, 332

Divisors of 537 :

The positive integer divisors of 537 that completely divides 537 are.

1, 3, 179, 537

GCD of numbers is the greatest common divisor

So, the GCD (678, 748, 332, 537) = 1.

Given numbers are 678, 748, 332, 537

The list of prime factors of all numbers are

Prime factors of 678 are 2 x 3 x 113

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

Prime factors of 332 are 2 x 2 x 83

Prime factors of 537 are 3 x 179

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

Given numbers are 678, 748, 332, 537

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

Apply this formula for all numbers.

Step1:

LCM(678, 748) = 253572

GCD(678, 748) = ( 678 x 748 ) / 253572

= 678 / 748

= 678

Step2:

LCM(2, 332) = 332

GCD(2, 332) = ( 2 x 332 ) / 332

= 2 / 332

= 2

Step3:

LCM(2, 537) = 1074

GCD(2, 537) = ( 2 x 537 ) / 1074

= 2 / 537

= 2

So, Greatest Common Divisor of 678, 748, 332, 537 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 749, 637, 526, 230
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Given numbers are 678, 748, 332, 537
The greatest common divisor of numbers 678, 748, 332, 537 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 748, 332, 537 is 1.

1. What is the GCD of 678, 748, 332, 537?

GCD of given numbers 678, 748, 332, 537 is 1

2. How to calculate the greatest common divisor of 678, 748, 332, 537?

We can find the highest common divisor of 678, 748, 332, 537 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 678, 748, 332, 537 i.e 1.

3. How can I use the GCD of 678, 748, 332, 537Calculator?

Out the numbers 678, 748, 332, 537 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.