GCD of 435, 695, 460 Calculator

Given Input numbers are 435, 695, 460

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

Divisors of 435 :

The positive integer divisors of 435 that completely divides 435 are.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 695 :

The positive integer divisors of 695 that completely divides 695 are.

1, 5, 139, 695

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

GCD of numbers is the greatest common divisor

So, the GCD (435, 695, 460) = 5.

Given numbers are 435, 695, 460

The list of prime factors of all numbers are

Prime factors of 435 are 3 x 5 x 29

Prime factors of 695 are 5 x 139

Prime factors of 460 are 2 x 2 x 5 x 23

The highest common occurrence is 5¹

Therefore, GCD of 435, 695, 460 is 5.

Given numbers are 435, 695, 460

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

Apply this formula for all numbers.

Step1:

LCM(435, 695) = 60465

GCD(435, 695) = ( 435 x 695 ) / 60465

= 435 / 695

= 435

Step2:

LCM(5, 460) = 460

GCD(5, 460) = ( 5 x 460 ) / 460

= 5 / 460

= 5

So, Greatest Common Divisor of 435, 695, 460 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 506, 140, 144
• GCD of 701, 328, 541
• GCD of 871, 836, 267
• GCD of 825, 216, 933
• GCD of 656, 554, 508

Given numbers are 435, 695, 460
The greatest common divisor of numbers 435, 695, 460 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 435, 695, 460 is 5.

1. What is the GCD of 435, 695, 460?

GCD of given numbers 435, 695, 460 is 5

2. How to calculate the greatest common divisor of 435, 695, 460?

We can find the highest common divisor of 435, 695, 460 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 435, 695, 460 i.e 5.

3. How can I use the GCD of 435, 695, 460Calculator?

Out the numbers 435, 695, 460 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.