GCD of 267, 831, 400, 109 Calculator

Given Input numbers are 267, 831, 400, 109

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

Divisors of 267 :

The positive integer divisors of 267 that completely divides 267 are.

1, 3, 89, 267

Divisors of 831 :

The positive integer divisors of 831 that completely divides 831 are.

1, 3, 277, 831

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 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

GCD of numbers is the greatest common divisor

So, the GCD (267, 831, 400, 109) = 1.

Given numbers are 267, 831, 400, 109

The list of prime factors of all numbers are

Prime factors of 267 are 3 x 89

Prime factors of 831 are 3 x 277

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

Prime factors of 109 are 109

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

Given numbers are 267, 831, 400, 109

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

Apply this formula for all numbers.

Step1:

LCM(267, 831) = 73959

GCD(267, 831) = ( 267 x 831 ) / 73959

= 267 / 831

= 267

Step2:

LCM(3, 400) = 1200

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

= 3 / 400

= 3

Step3:

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

= 1 / 109

= 1

So, Greatest Common Divisor of 267, 831, 400, 109 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 219, 372, 475, 547
• GCD of 660, 197, 543, 138
• GCD of 631, 864, 368, 454
• GCD of 767, 413, 744, 172
• GCD of 842, 234, 781, 263

Given numbers are 267, 831, 400, 109
The greatest common divisor of numbers 267, 831, 400, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 267, 831, 400, 109 is 1.

1. What is the GCD of 267, 831, 400, 109?

GCD of given numbers 267, 831, 400, 109 is 1

2. How to calculate the greatest common divisor of 267, 831, 400, 109?

We can find the highest common divisor of 267, 831, 400, 109 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 267, 831, 400, 109 i.e 1.

3. How can I use the GCD of 267, 831, 400, 109Calculator?

Out the numbers 267, 831, 400, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.