GCD of 807, 702, 747, 813 Calculator

Given Input numbers are 807, 702, 747, 813

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

Divisors of 807 :

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

1, 3, 269, 807

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 813 :

The positive integer divisors of 813 that completely divides 813 are.

1, 3, 271, 813

GCD of numbers is the greatest common divisor

So, the GCD (807, 702, 747, 813) = 3.

Given numbers are 807, 702, 747, 813

The list of prime factors of all numbers are

Prime factors of 807 are 3 x 269

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 747 are 3 x 3 x 83

Prime factors of 813 are 3 x 271

The highest common occurrence is 3¹

Therefore, GCD of 807, 702, 747, 813 is 3.

Given numbers are 807, 702, 747, 813

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

Apply this formula for all numbers.

Step1:

LCM(807, 702) = 188838

GCD(807, 702) = ( 807 x 702 ) / 188838

= 807 / 702

= 807

Step2:

LCM(3, 747) = 747

GCD(3, 747) = ( 3 x 747 ) / 747

= 3 / 747

= 3

Step3:

LCM(3, 813) = 813

GCD(3, 813) = ( 3 x 813 ) / 813

= 3 / 813

= 3

So, Greatest Common Divisor of 807, 702, 747, 813 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 523, 800, 959, 602
• GCD of 371, 944, 603, 761
• GCD of 842, 536, 196, 255
• GCD of 744, 326, 574, 629
• GCD of 479, 333, 184, 464

Given numbers are 807, 702, 747, 813
The greatest common divisor of numbers 807, 702, 747, 813 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 807, 702, 747, 813 is 3.

1. What is the GCD of 807, 702, 747, 813?

GCD of given numbers 807, 702, 747, 813 is 3

2. How to calculate the greatest common divisor of 807, 702, 747, 813?

We can find the highest common divisor of 807, 702, 747, 813 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 807, 702, 747, 813 i.e 3.

3. How can I use the GCD of 807, 702, 747, 813Calculator?

Out the numbers 807, 702, 747, 813 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.