GCD of 724, 413, 767, 421 Calculator

Given Input numbers are 724, 413, 767, 421

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

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 413 :

The positive integer divisors of 413 that completely divides 413 are.

1, 7, 59, 413

Divisors of 767 :

The positive integer divisors of 767 that completely divides 767 are.

1, 13, 59, 767

Divisors of 421 :

The positive integer divisors of 421 that completely divides 421 are.

1, 421

GCD of numbers is the greatest common divisor

So, the GCD (724, 413, 767, 421) = 1.

Given numbers are 724, 413, 767, 421

The list of prime factors of all numbers are

Prime factors of 724 are 2 x 2 x 181

Prime factors of 413 are 7 x 59

Prime factors of 767 are 13 x 59

Prime factors of 421 are 421

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

Given numbers are 724, 413, 767, 421

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

Apply this formula for all numbers.

Step1:

LCM(724, 413) = 299012

GCD(724, 413) = ( 724 x 413 ) / 299012

= 724 / 413

= 724

Step2:

LCM(1, 767) = 767

GCD(1, 767) = ( 1 x 767 ) / 767

= 1 / 767

= 1

Step3:

LCM(1, 421) = 421

GCD(1, 421) = ( 1 x 421 ) / 421

= 1 / 421

= 1

So, Greatest Common Divisor of 724, 413, 767, 421 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 978, 116, 235, 684
• GCD of 643, 633, 136, 832
• GCD of 649, 457, 958, 219
• GCD of 467, 968, 557, 504
• GCD of 530, 747, 767, 877

Given numbers are 724, 413, 767, 421
The greatest common divisor of numbers 724, 413, 767, 421 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 413, 767, 421 is 1.

1. What is the GCD of 724, 413, 767, 421?

GCD of given numbers 724, 413, 767, 421 is 1

2. How to calculate the greatest common divisor of 724, 413, 767, 421?

We can find the highest common divisor of 724, 413, 767, 421 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 724, 413, 767, 421 i.e 1.

3. How can I use the GCD of 724, 413, 767, 421Calculator?

Out the numbers 724, 413, 767, 421 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.