GCD of 400, 533, 637, 714 Calculator

Given Input numbers are 400, 533, 637, 714

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

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 533 :

The positive integer divisors of 533 that completely divides 533 are.

1, 13, 41, 533

Divisors of 637 :

The positive integer divisors of 637 that completely divides 637 are.

1, 7, 13, 49, 91, 637

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

GCD of numbers is the greatest common divisor

So, the GCD (400, 533, 637, 714) = 1.

Given numbers are 400, 533, 637, 714

The list of prime factors of all numbers are

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 533 are 13 x 41

Prime factors of 637 are 7 x 7 x 13

Prime factors of 714 are 2 x 3 x 7 x 17

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

Given numbers are 400, 533, 637, 714

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

Apply this formula for all numbers.

Step1:

LCM(400, 533) = 213200

GCD(400, 533) = ( 400 x 533 ) / 213200

= 400 / 533

= 400

Step2:

LCM(1, 637) = 637

GCD(1, 637) = ( 1 x 637 ) / 637

= 1 / 637

= 1

Step3:

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

= 1 / 714

= 1

So, Greatest Common Divisor of 400, 533, 637, 714 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 454, 675, 160, 375
• GCD of 690, 404, 619, 507
• GCD of 348, 955, 294, 957
• GCD of 984, 316, 613, 103
• GCD of 106, 662, 421, 763

Given numbers are 400, 533, 637, 714
The greatest common divisor of numbers 400, 533, 637, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 533, 637, 714 is 1.

1. What is the GCD of 400, 533, 637, 714?

GCD of given numbers 400, 533, 637, 714 is 1

2. How to calculate the greatest common divisor of 400, 533, 637, 714?

We can find the highest common divisor of 400, 533, 637, 714 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 400, 533, 637, 714 i.e 1.

3. How can I use the GCD of 400, 533, 637, 714Calculator?

Out the numbers 400, 533, 637, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.