GCD of 746, 704, 422, 687 Calculator

Given Input numbers are 746, 704, 422, 687

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

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

GCD of numbers is the greatest common divisor

So, the GCD (746, 704, 422, 687) = 1.

Given numbers are 746, 704, 422, 687

The list of prime factors of all numbers are

Prime factors of 746 are 2 x 373

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 422 are 2 x 211

Prime factors of 687 are 3 x 229

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

Given numbers are 746, 704, 422, 687

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

Apply this formula for all numbers.

Step1:

LCM(746, 704) = 262592

GCD(746, 704) = ( 746 x 704 ) / 262592

= 746 / 704

= 746

Step2:

LCM(2, 422) = 422

GCD(2, 422) = ( 2 x 422 ) / 422

= 2 / 422

= 2

Step3:

LCM(2, 687) = 1374

GCD(2, 687) = ( 2 x 687 ) / 1374

= 2 / 687

= 2

So, Greatest Common Divisor of 746, 704, 422, 687 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 930, 869, 184, 826
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Given numbers are 746, 704, 422, 687
The greatest common divisor of numbers 746, 704, 422, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 746, 704, 422, 687 is 1.

1. What is the GCD of 746, 704, 422, 687?

GCD of given numbers 746, 704, 422, 687 is 1

2. How to calculate the greatest common divisor of 746, 704, 422, 687?

We can find the highest common divisor of 746, 704, 422, 687 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 746, 704, 422, 687 i.e 1.

3. How can I use the GCD of 746, 704, 422, 687Calculator?

Out the numbers 746, 704, 422, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.