GCD of 543, 420, 400, 268 Calculator

Given Input numbers are 543, 420, 400, 268

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

Divisors of 543 :

The positive integer divisors of 543 that completely divides 543 are.

1, 3, 181, 543

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

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 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

GCD of numbers is the greatest common divisor

So, the GCD (543, 420, 400, 268) = 1.

Given numbers are 543, 420, 400, 268

The list of prime factors of all numbers are

Prime factors of 543 are 3 x 181

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

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

Prime factors of 268 are 2 x 2 x 67

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

Given numbers are 543, 420, 400, 268

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

Apply this formula for all numbers.

Step1:

LCM(543, 420) = 76020

GCD(543, 420) = ( 543 x 420 ) / 76020

= 543 / 420

= 543

Step2:

LCM(3, 400) = 1200

GCD(3, 400) = ( 3 x 400 ) / 1200

= 3 / 400

= 3

Step3:

LCM(1, 268) = 268

GCD(1, 268) = ( 1 x 268 ) / 268

= 1 / 268

= 1

So, Greatest Common Divisor of 543, 420, 400, 268 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 714, 660, 518, 529
• GCD of 863, 616, 495, 211
• GCD of 497, 232, 488, 263
• GCD of 438, 418, 519, 174
• GCD of 343, 958, 751, 567

Given numbers are 543, 420, 400, 268
The greatest common divisor of numbers 543, 420, 400, 268 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 543, 420, 400, 268 is 1.

1. What is the GCD of 543, 420, 400, 268?

GCD of given numbers 543, 420, 400, 268 is 1

2. How to calculate the greatest common divisor of 543, 420, 400, 268?

We can find the highest common divisor of 543, 420, 400, 268 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 543, 420, 400, 268 i.e 1.

3. How can I use the GCD of 543, 420, 400, 268Calculator?

Out the numbers 543, 420, 400, 268 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.