GCD of 135, 650, 765, 785 Calculator

Given Input numbers are 135, 650, 765, 785

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 650 :

The positive integer divisors of 650 that completely divides 650 are.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 785 :

The positive integer divisors of 785 that completely divides 785 are.

1, 5, 157, 785

GCD of numbers is the greatest common divisor

So, the GCD (135, 650, 765, 785) = 5.

Given numbers are 135, 650, 765, 785

The list of prime factors of all numbers are

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

Prime factors of 650 are 2 x 5 x 5 x 13

Prime factors of 765 are 3 x 3 x 5 x 17

Prime factors of 785 are 5 x 157

The highest common occurrence is 5¹

Therefore, GCD of 135, 650, 765, 785 is 5.

Given numbers are 135, 650, 765, 785

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

Apply this formula for all numbers.

Step1:

LCM(135, 650) = 17550

GCD(135, 650) = ( 135 x 650 ) / 17550

= 135 / 650

= 135

Step2:

LCM(5, 765) = 765

GCD(5, 765) = ( 5 x 765 ) / 765

= 5 / 765

= 5

Step3:

LCM(5, 785) = 785

GCD(5, 785) = ( 5 x 785 ) / 785

= 5 / 785

= 5

So, Greatest Common Divisor of 135, 650, 765, 785 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 306, 541, 284, 704
• GCD of 109, 451, 780, 851
• GCD of 776, 136, 397, 893
• GCD of 904, 707, 604, 160
• GCD of 531, 925, 744, 943

Given numbers are 135, 650, 765, 785
The greatest common divisor of numbers 135, 650, 765, 785 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 650, 765, 785 is 5.

1. What is the GCD of 135, 650, 765, 785?

GCD of given numbers 135, 650, 765, 785 is 5

2. How to calculate the greatest common divisor of 135, 650, 765, 785?

We can find the highest common divisor of 135, 650, 765, 785 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, 650, 765, 785 i.e 5.

3. How can I use the GCD of 135, 650, 765, 785Calculator?

Out the numbers 135, 650, 765, 785 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.