GCD of 135, 344, 557, 840 Calculator

Given Input numbers are 135, 344, 557, 840

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 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 557 :

The positive integer divisors of 557 that completely divides 557 are.

1, 557

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

GCD of numbers is the greatest common divisor

So, the GCD (135, 344, 557, 840) = 1.

Given numbers are 135, 344, 557, 840

The list of prime factors of all numbers are

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

Prime factors of 344 are 2 x 2 x 2 x 43

Prime factors of 557 are 557

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

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

Given numbers are 135, 344, 557, 840

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

Apply this formula for all numbers.

Step1:

LCM(135, 344) = 46440

GCD(135, 344) = ( 135 x 344 ) / 46440

= 135 / 344

= 135

Step2:

LCM(1, 557) = 557

GCD(1, 557) = ( 1 x 557 ) / 557

= 1 / 557

= 1

Step3:

LCM(1, 840) = 840

GCD(1, 840) = ( 1 x 840 ) / 840

= 1 / 840

= 1

So, Greatest Common Divisor of 135, 344, 557, 840 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 308, 375, 884, 912
• GCD of 597, 361, 212, 773
• GCD of 908, 107, 251, 824
• GCD of 878, 537, 638, 193
• GCD of 342, 809, 162, 886

Given numbers are 135, 344, 557, 840
The greatest common divisor of numbers 135, 344, 557, 840 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 344, 557, 840 is 1.

1. What is the GCD of 135, 344, 557, 840?

GCD of given numbers 135, 344, 557, 840 is 1

2. How to calculate the greatest common divisor of 135, 344, 557, 840?

We can find the highest common divisor of 135, 344, 557, 840 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, 344, 557, 840 i.e 1.

3. How can I use the GCD of 135, 344, 557, 840Calculator?

Out the numbers 135, 344, 557, 840 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.