GCD of 687, 364, 329, 142 Calculator

Given Input numbers are 687, 364, 329, 142

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

Divisors of 687 :

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

1, 3, 229, 687

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 329 :

The positive integer divisors of 329 that completely divides 329 are.

1, 7, 47, 329

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

GCD of numbers is the greatest common divisor

So, the GCD (687, 364, 329, 142) = 1.

Given numbers are 687, 364, 329, 142

The list of prime factors of all numbers are

Prime factors of 687 are 3 x 229

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 329 are 7 x 47

Prime factors of 142 are 2 x 71

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

Given numbers are 687, 364, 329, 142

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

Apply this formula for all numbers.

Step1:

LCM(687, 364) = 250068

GCD(687, 364) = ( 687 x 364 ) / 250068

= 687 / 364

= 687

Step2:

LCM(1, 329) = 329

GCD(1, 329) = ( 1 x 329 ) / 329

= 1 / 329

= 1

Step3:

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

= 1 / 142

= 1

So, Greatest Common Divisor of 687, 364, 329, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 446, 305, 703, 278
• GCD of 648, 868, 563, 344
• GCD of 226, 661, 696, 315
• GCD of 347, 436, 305, 358
• GCD of 975, 526, 514, 519

Given numbers are 687, 364, 329, 142
The greatest common divisor of numbers 687, 364, 329, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 687, 364, 329, 142 is 1.

1. What is the GCD of 687, 364, 329, 142?

GCD of given numbers 687, 364, 329, 142 is 1

2. How to calculate the greatest common divisor of 687, 364, 329, 142?

We can find the highest common divisor of 687, 364, 329, 142 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 687, 364, 329, 142 i.e 1.

3. How can I use the GCD of 687, 364, 329, 142Calculator?

Out the numbers 687, 364, 329, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.