GCD of 807, 735, 315 Calculator

Given Input numbers are 807, 735, 315

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 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 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

GCD of numbers is the greatest common divisor

So, the GCD (807, 735, 315) = 3.

Given numbers are 807, 735, 315

The list of prime factors of all numbers are

Prime factors of 807 are 3 x 269

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

Prime factors of 315 are 3 x 3 x 5 x 7

The highest common occurrence is 3¹

Therefore, GCD of 807, 735, 315 is 3.

Given numbers are 807, 735, 315

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

Apply this formula for all numbers.

Step1:

LCM(807, 735) = 197715

GCD(807, 735) = ( 807 x 735 ) / 197715

= 807 / 735

= 807

Step2:

LCM(3, 315) = 315

GCD(3, 315) = ( 3 x 315 ) / 315

= 3 / 315

= 3

So, Greatest Common Divisor of 807, 735, 315 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 859, 851, 939
• GCD of 430, 541, 130
• GCD of 349, 463, 736
• GCD of 131, 201, 200
• GCD of 723, 985, 576

Given numbers are 807, 735, 315
The greatest common divisor of numbers 807, 735, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 807, 735, 315 is 3.

1. What is the GCD of 807, 735, 315?

GCD of given numbers 807, 735, 315 is 3

2. How to calculate the greatest common divisor of 807, 735, 315?

We can find the highest common divisor of 807, 735, 315 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, 735, 315 i.e 3.

3. How can I use the GCD of 807, 735, 315Calculator?

Out the numbers 807, 735, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.