GCD of 507, 760, 814, 429 Calculator

Given Input numbers are 507, 760, 814, 429

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

Divisors of 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429

GCD of numbers is the greatest common divisor

So, the GCD (507, 760, 814, 429) = 1.

Given numbers are 507, 760, 814, 429

The list of prime factors of all numbers are

Prime factors of 507 are 3 x 13 x 13

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

Prime factors of 814 are 2 x 11 x 37

Prime factors of 429 are 3 x 11 x 13

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

Given numbers are 507, 760, 814, 429

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

Apply this formula for all numbers.

Step1:

LCM(507, 760) = 385320

GCD(507, 760) = ( 507 x 760 ) / 385320

= 507 / 760

= 507

Step2:

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

= 1 / 814

= 1

Step3:

LCM(1, 429) = 429

GCD(1, 429) = ( 1 x 429 ) / 429

= 1 / 429

= 1

So, Greatest Common Divisor of 507, 760, 814, 429 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 528, 322, 357, 732
• GCD of 682, 865, 995, 353
• GCD of 337, 821, 265, 225
• GCD of 417, 372, 834, 576
• GCD of 627, 590, 584, 273

Given numbers are 507, 760, 814, 429
The greatest common divisor of numbers 507, 760, 814, 429 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 507, 760, 814, 429 is 1.

1. What is the GCD of 507, 760, 814, 429?

GCD of given numbers 507, 760, 814, 429 is 1

2. How to calculate the greatest common divisor of 507, 760, 814, 429?

We can find the highest common divisor of 507, 760, 814, 429 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 507, 760, 814, 429 i.e 1.

3. How can I use the GCD of 507, 760, 814, 429Calculator?

Out the numbers 507, 760, 814, 429 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.