GCD of 135, 409, 700, 438 Calculator

Given Input numbers are 135, 409, 700, 438

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 409 :

The positive integer divisors of 409 that completely divides 409 are.

1, 409

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

GCD of numbers is the greatest common divisor

So, the GCD (135, 409, 700, 438) = 1.

Given numbers are 135, 409, 700, 438

The list of prime factors of all numbers are

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

Prime factors of 409 are 409

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 438 are 2 x 3 x 73

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

Given numbers are 135, 409, 700, 438

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

Apply this formula for all numbers.

Step1:

LCM(135, 409) = 55215

GCD(135, 409) = ( 135 x 409 ) / 55215

= 135 / 409

= 135

Step2:

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

= 1 / 700

= 1

Step3:

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

= 1 / 438

= 1

So, Greatest Common Divisor of 135, 409, 700, 438 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 576, 816, 297, 598
• GCD of 913, 905, 834, 745
• GCD of 592, 340, 647, 755
• GCD of 471, 345, 904, 599
• GCD of 821, 471, 520, 391

Given numbers are 135, 409, 700, 438
The greatest common divisor of numbers 135, 409, 700, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 409, 700, 438 is 1.

1. What is the GCD of 135, 409, 700, 438?

GCD of given numbers 135, 409, 700, 438 is 1

2. How to calculate the greatest common divisor of 135, 409, 700, 438?

We can find the highest common divisor of 135, 409, 700, 438 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, 409, 700, 438 i.e 1.

3. How can I use the GCD of 135, 409, 700, 438Calculator?

Out the numbers 135, 409, 700, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.