GCD of 800, 492, 261, 749 Calculator

Given Input numbers are 800, 492, 261, 749

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

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

GCD of numbers is the greatest common divisor

So, the GCD (800, 492, 261, 749) = 1.

Given numbers are 800, 492, 261, 749

The list of prime factors of all numbers are

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 261 are 3 x 3 x 29

Prime factors of 749 are 7 x 107

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

Given numbers are 800, 492, 261, 749

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

Apply this formula for all numbers.

Step1:

LCM(800, 492) = 98400

GCD(800, 492) = ( 800 x 492 ) / 98400

= 800 / 492

= 800

Step2:

LCM(4, 261) = 1044

GCD(4, 261) = ( 4 x 261 ) / 1044

= 4 / 261

= 4

Step3:

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

= 1 / 749

= 1

So, Greatest Common Divisor of 800, 492, 261, 749 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 509, 278, 633, 351
• GCD of 813, 216, 112, 360
• GCD of 618, 916, 135, 594
• GCD of 220, 695, 628, 658
• GCD of 989, 288, 407, 280

Given numbers are 800, 492, 261, 749
The greatest common divisor of numbers 800, 492, 261, 749 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 492, 261, 749 is 1.

1. What is the GCD of 800, 492, 261, 749?

GCD of given numbers 800, 492, 261, 749 is 1

2. How to calculate the greatest common divisor of 800, 492, 261, 749?

We can find the highest common divisor of 800, 492, 261, 749 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 800, 492, 261, 749 i.e 1.

3. How can I use the GCD of 800, 492, 261, 749Calculator?

Out the numbers 800, 492, 261, 749 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.