GCD of 267, 924, 726, 984 Calculator

Given Input numbers are 267, 924, 726, 984

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 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

GCD of numbers is the greatest common divisor

So, the GCD (267, 924, 726, 984) = 3.

Given numbers are 267, 924, 726, 984

The list of prime factors of all numbers are

Prime factors of 267 are 3 x 89

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

Prime factors of 726 are 2 x 3 x 11 x 11

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

The highest common occurrence is 3¹

Therefore, GCD of 267, 924, 726, 984 is 3.

Given numbers are 267, 924, 726, 984

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

Apply this formula for all numbers.

Step1:

LCM(267, 924) = 82236

GCD(267, 924) = ( 267 x 924 ) / 82236

= 267 / 924

= 267

Step2:

LCM(3, 726) = 726

GCD(3, 726) = ( 3 x 726 ) / 726

= 3 / 726

= 3

Step3:

LCM(3, 984) = 984

GCD(3, 984) = ( 3 x 984 ) / 984

= 3 / 984

= 3

So, Greatest Common Divisor of 267, 924, 726, 984 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 465, 116, 592, 647
• GCD of 183, 898, 411, 937
• GCD of 203, 937, 462, 564
• GCD of 545, 714, 937, 308
• GCD of 739, 311, 603, 326

Given numbers are 267, 924, 726, 984
The greatest common divisor of numbers 267, 924, 726, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 267, 924, 726, 984 is 3.

1. What is the GCD of 267, 924, 726, 984?

GCD of given numbers 267, 924, 726, 984 is 3

2. How to calculate the greatest common divisor of 267, 924, 726, 984?

We can find the highest common divisor of 267, 924, 726, 984 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, 924, 726, 984 i.e 3.

3. How can I use the GCD of 267, 924, 726, 984Calculator?

Out the numbers 267, 924, 726, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.