GCD of 455, 505, 790, 135 Calculator

Given Input numbers are 455, 505, 790, 135

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

Divisors of 455 :

The positive integer divisors of 455 that completely divides 455 are.

1, 5, 7, 13, 35, 65, 91, 455

Divisors of 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505

Divisors of 790 :

The positive integer divisors of 790 that completely divides 790 are.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

GCD of numbers is the greatest common divisor

So, the GCD (455, 505, 790, 135) = 5.

Given numbers are 455, 505, 790, 135

The list of prime factors of all numbers are

Prime factors of 455 are 5 x 7 x 13

Prime factors of 505 are 5 x 101

Prime factors of 790 are 2 x 5 x 79

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

The highest common occurrence is 5¹

Therefore, GCD of 455, 505, 790, 135 is 5.

Given numbers are 455, 505, 790, 135

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

Apply this formula for all numbers.

Step1:

LCM(455, 505) = 45955

GCD(455, 505) = ( 455 x 505 ) / 45955

= 455 / 505

= 455

Step2:

LCM(5, 790) = 790

GCD(5, 790) = ( 5 x 790 ) / 790

= 5 / 790

= 5

Step3:

LCM(5, 135) = 135

GCD(5, 135) = ( 5 x 135 ) / 135

= 5 / 135

= 5

So, Greatest Common Divisor of 455, 505, 790, 135 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 704, 253, 672, 469
• GCD of 457, 895, 396, 797
• GCD of 491, 294, 924, 169
• GCD of 764, 593, 782, 285
• GCD of 818, 234, 689, 469

Given numbers are 455, 505, 790, 135
The greatest common divisor of numbers 455, 505, 790, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 455, 505, 790, 135 is 5.

1. What is the GCD of 455, 505, 790, 135?

GCD of given numbers 455, 505, 790, 135 is 5

2. How to calculate the greatest common divisor of 455, 505, 790, 135?

We can find the highest common divisor of 455, 505, 790, 135 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 455, 505, 790, 135 i.e 5.

3. How can I use the GCD of 455, 505, 790, 135Calculator?

Out the numbers 455, 505, 790, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.