GCD of 135, 693, 702, 867 Calculator

Given Input numbers are 135, 693, 702, 867

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

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 693 :

The positive integer divisors of 693 that completely divides 693 are.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

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 867 :

The positive integer divisors of 867 that completely divides 867 are.

1, 3, 17, 51, 289, 867

GCD of numbers is the greatest common divisor

So, the GCD (135, 693, 702, 867) = 3.

Given numbers are 135, 693, 702, 867

The list of prime factors of all numbers are

Prime factors of 135 are 3 x 3 x 3 x 5

Prime factors of 693 are 3 x 3 x 7 x 11

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

Prime factors of 867 are 3 x 17 x 17

The highest common occurrence is 3¹

Therefore, GCD of 135, 693, 702, 867 is 3.

Given numbers are 135, 693, 702, 867

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

Apply this formula for all numbers.

Step1:

LCM(135, 693) = 10395

GCD(135, 693) = ( 135 x 693 ) / 10395

= 135 / 693

= 135

Step2:

LCM(9, 702) = 702

GCD(9, 702) = ( 9 x 702 ) / 702

= 9 / 702

= 9

Step3:

LCM(9, 867) = 2601

GCD(9, 867) = ( 9 x 867 ) / 2601

= 9 / 867

= 9

So, Greatest Common Divisor of 135, 693, 702, 867 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 802, 247, 855, 774
• GCD of 101, 225, 449, 643
• GCD of 582, 231, 505, 604
• GCD of 612, 916, 119, 708
• GCD of 498, 445, 347, 583

Given numbers are 135, 693, 702, 867
The greatest common divisor of numbers 135, 693, 702, 867 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 693, 702, 867 is 3.

1. What is the GCD of 135, 693, 702, 867?

GCD of given numbers 135, 693, 702, 867 is 3

2. How to calculate the greatest common divisor of 135, 693, 702, 867?

We can find the highest common divisor of 135, 693, 702, 867 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 135, 693, 702, 867 i.e 3.

3. How can I use the GCD of 135, 693, 702, 867Calculator?

Out the numbers 135, 693, 702, 867 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.