GCD of 732, 708, 807, 849 Calculator

Given Input numbers are 732, 708, 807, 849

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

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 807 :

The positive integer divisors of 807 that completely divides 807 are.

1, 3, 269, 807

Divisors of 849 :

The positive integer divisors of 849 that completely divides 849 are.

1, 3, 283, 849

GCD of numbers is the greatest common divisor

So, the GCD (732, 708, 807, 849) = 3.

Given numbers are 732, 708, 807, 849

The list of prime factors of all numbers are

Prime factors of 732 are 2 x 2 x 3 x 61

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 807 are 3 x 269

Prime factors of 849 are 3 x 283

The highest common occurrence is 3¹

Therefore, GCD of 732, 708, 807, 849 is 3.

Given numbers are 732, 708, 807, 849

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

Apply this formula for all numbers.

Step1:

LCM(732, 708) = 43188

GCD(732, 708) = ( 732 x 708 ) / 43188

= 732 / 708

= 732

Step2:

LCM(12, 807) = 3228

GCD(12, 807) = ( 12 x 807 ) / 3228

= 12 / 807

= 12

Step3:

LCM(3, 849) = 849

GCD(3, 849) = ( 3 x 849 ) / 849

= 3 / 849

= 3

So, Greatest Common Divisor of 732, 708, 807, 849 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 119, 606, 471, 235
• GCD of 839, 582, 815, 993
• GCD of 997, 363, 366, 497
• GCD of 102, 809, 447, 120
• GCD of 748, 282, 479, 626

Given numbers are 732, 708, 807, 849
The greatest common divisor of numbers 732, 708, 807, 849 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 732, 708, 807, 849 is 3.

1. What is the GCD of 732, 708, 807, 849?

GCD of given numbers 732, 708, 807, 849 is 3

2. How to calculate the greatest common divisor of 732, 708, 807, 849?

We can find the highest common divisor of 732, 708, 807, 849 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 732, 708, 807, 849 i.e 3.

3. How can I use the GCD of 732, 708, 807, 849Calculator?

Out the numbers 732, 708, 807, 849 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.