GCD of 381, 834, 840, 267 Calculator

Given Input numbers are 381, 834, 840, 267

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

Divisors of 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381

Divisors of 834 :

The positive integer divisors of 834 that completely divides 834 are.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 267 :

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

1, 3, 89, 267

GCD of numbers is the greatest common divisor

So, the GCD (381, 834, 840, 267) = 3.

Given numbers are 381, 834, 840, 267

The list of prime factors of all numbers are

Prime factors of 381 are 3 x 127

Prime factors of 834 are 2 x 3 x 139

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 267 are 3 x 89

The highest common occurrence is 3¹

Therefore, GCD of 381, 834, 840, 267 is 3.

Given numbers are 381, 834, 840, 267

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

Apply this formula for all numbers.

Step1:

LCM(381, 834) = 105918

GCD(381, 834) = ( 381 x 834 ) / 105918

= 381 / 834

= 381

Step2:

LCM(3, 840) = 840

GCD(3, 840) = ( 3 x 840 ) / 840

= 3 / 840

= 3

Step3:

LCM(3, 267) = 267

GCD(3, 267) = ( 3 x 267 ) / 267

= 3 / 267

= 3

So, Greatest Common Divisor of 381, 834, 840, 267 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 630, 702, 929, 895
• GCD of 908, 428, 306, 549
• GCD of 208, 776, 682, 763
• GCD of 787, 773, 708, 272
• GCD of 739, 399, 539, 673

Given numbers are 381, 834, 840, 267
The greatest common divisor of numbers 381, 834, 840, 267 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 381, 834, 840, 267 is 3.

1. What is the GCD of 381, 834, 840, 267?

GCD of given numbers 381, 834, 840, 267 is 3

2. How to calculate the greatest common divisor of 381, 834, 840, 267?

We can find the highest common divisor of 381, 834, 840, 267 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 381, 834, 840, 267 i.e 3.

3. How can I use the GCD of 381, 834, 840, 267Calculator?

Out the numbers 381, 834, 840, 267 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.