GCD of 135, 196, 472, 919 Calculator

Given Input numbers are 135, 196, 472, 919

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 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 919 :

The positive integer divisors of 919 that completely divides 919 are.

1, 919

GCD of numbers is the greatest common divisor

So, the GCD (135, 196, 472, 919) = 1.

Given numbers are 135, 196, 472, 919

The list of prime factors of all numbers are

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

Prime factors of 196 are 2 x 2 x 7 x 7

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 919 are 919

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

Given numbers are 135, 196, 472, 919

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

Apply this formula for all numbers.

Step1:

LCM(135, 196) = 26460

GCD(135, 196) = ( 135 x 196 ) / 26460

= 135 / 196

= 135

Step2:

LCM(1, 472) = 472

GCD(1, 472) = ( 1 x 472 ) / 472

= 1 / 472

= 1

Step3:

LCM(1, 919) = 919

GCD(1, 919) = ( 1 x 919 ) / 919

= 1 / 919

= 1

So, Greatest Common Divisor of 135, 196, 472, 919 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 754, 628, 783, 624
• GCD of 723, 337, 204, 928
• GCD of 518, 345, 590, 906
• GCD of 572, 498, 694, 376
• GCD of 491, 988, 678, 274

Given numbers are 135, 196, 472, 919
The greatest common divisor of numbers 135, 196, 472, 919 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 196, 472, 919 is 1.

1. What is the GCD of 135, 196, 472, 919?

GCD of given numbers 135, 196, 472, 919 is 1

2. How to calculate the greatest common divisor of 135, 196, 472, 919?

We can find the highest common divisor of 135, 196, 472, 919 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, 196, 472, 919 i.e 1.

3. How can I use the GCD of 135, 196, 472, 919Calculator?

Out the numbers 135, 196, 472, 919 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.