GCD of 435, 207, 198, 731 Calculator

Given Input numbers are 435, 207, 198, 731

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 207 :

The positive integer divisors of 207 that completely divides 207 are.

1, 3, 9, 23, 69, 207

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

GCD of numbers is the greatest common divisor

So, the GCD (435, 207, 198, 731) = 1.

Given numbers are 435, 207, 198, 731

The list of prime factors of all numbers are

Prime factors of 435 are 3 x 5 x 29

Prime factors of 207 are 3 x 3 x 23

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 731 are 17 x 43

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 435, 207, 198, 731

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

Apply this formula for all numbers.

Step1:

LCM(435, 207) = 30015

GCD(435, 207) = ( 435 x 207 ) / 30015

= 435 / 207

= 435

Step2:

LCM(3, 198) = 198

GCD(3, 198) = ( 3 x 198 ) / 198

= 3 / 198

= 3

Step3:

LCM(3, 731) = 2193

GCD(3, 731) = ( 3 x 731 ) / 2193

= 3 / 731

= 3

So, Greatest Common Divisor of 435, 207, 198, 731 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 248, 194, 588, 529
• GCD of 591, 140, 810, 642
• GCD of 767, 977, 332, 171
• GCD of 835, 507, 343, 173
• GCD of 482, 449, 979, 697

Given numbers are 435, 207, 198, 731
The greatest common divisor of numbers 435, 207, 198, 731 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 435, 207, 198, 731 is 1.

1. What is the GCD of 435, 207, 198, 731?

GCD of given numbers 435, 207, 198, 731 is 1

2. How to calculate the greatest common divisor of 435, 207, 198, 731?

We can find the highest common divisor of 435, 207, 198, 731 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, 207, 198, 731 i.e 1.

3. How can I use the GCD of 435, 207, 198, 731Calculator?

Out the numbers 435, 207, 198, 731 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.