GCD of 538, 672, 521, 414 Calculator

Given Input numbers are 538, 672, 521, 414

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

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 521 :

The positive integer divisors of 521 that completely divides 521 are.

1, 521

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

GCD of numbers is the greatest common divisor

So, the GCD (538, 672, 521, 414) = 1.

Given numbers are 538, 672, 521, 414

The list of prime factors of all numbers are

Prime factors of 538 are 2 x 269

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 521 are 521

Prime factors of 414 are 2 x 3 x 3 x 23

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

Given numbers are 538, 672, 521, 414

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

Apply this formula for all numbers.

Step1:

LCM(538, 672) = 180768

GCD(538, 672) = ( 538 x 672 ) / 180768

= 538 / 672

= 538

Step2:

LCM(2, 521) = 1042

GCD(2, 521) = ( 2 x 521 ) / 1042

= 2 / 521

= 2

Step3:

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

= 1 / 414

= 1

So, Greatest Common Divisor of 538, 672, 521, 414 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 893, 185, 760, 891
• GCD of 441, 244, 255, 538
• GCD of 761, 965, 881, 864
• GCD of 837, 628, 133, 789
• GCD of 583, 492, 927, 895

Given numbers are 538, 672, 521, 414
The greatest common divisor of numbers 538, 672, 521, 414 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 538, 672, 521, 414 is 1.

1. What is the GCD of 538, 672, 521, 414?

GCD of given numbers 538, 672, 521, 414 is 1

2. How to calculate the greatest common divisor of 538, 672, 521, 414?

We can find the highest common divisor of 538, 672, 521, 414 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 538, 672, 521, 414 i.e 1.

3. How can I use the GCD of 538, 672, 521, 414Calculator?

Out the numbers 538, 672, 521, 414 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.