GCD of 705, 735, 65, 855 Calculator

Given Input numbers are 705, 735, 65, 855

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

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 65 :

The positive integer divisors of 65 that completely divides 65 are.

1, 5, 13, 65

Divisors of 855 :

The positive integer divisors of 855 that completely divides 855 are.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

GCD of numbers is the greatest common divisor

So, the GCD (705, 735, 65, 855) = 5.

Given numbers are 705, 735, 65, 855

The list of prime factors of all numbers are

Prime factors of 705 are 3 x 5 x 47

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 65 are 5 x 13

Prime factors of 855 are 3 x 3 x 5 x 19

The highest common occurrence is 5¹

Therefore, GCD of 705, 735, 65, 855 is 5.

Given numbers are 705, 735, 65, 855

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

Apply this formula for all numbers.

Step1:

LCM(705, 735) = 34545

GCD(705, 735) = ( 705 x 735 ) / 34545

= 705 / 735

= 705

Step2:

LCM(15, 65) = 195

GCD(15, 65) = ( 15 x 65 ) / 195

= 15 / 65

= 15

Step3:

LCM(5, 855) = 855

GCD(5, 855) = ( 5 x 855 ) / 855

= 5 / 855

= 5

So, Greatest Common Divisor of 705, 735, 65, 855 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 181, 773, 39, 734
• GCD of 446, 459, 67, 314
• GCD of 334, 551, 38, 375
• GCD of 167, 894, 98, 707
• GCD of 930, 154, 62, 140

Given numbers are 705, 735, 65, 855
The greatest common divisor of numbers 705, 735, 65, 855 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 735, 65, 855 is 5.

1. What is the GCD of 705, 735, 65, 855?

GCD of given numbers 705, 735, 65, 855 is 5

2. How to calculate the greatest common divisor of 705, 735, 65, 855?

We can find the highest common divisor of 705, 735, 65, 855 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 705, 735, 65, 855 i.e 5.

3. How can I use the GCD of 705, 735, 65, 855Calculator?

Out the numbers 705, 735, 65, 855 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.