GCD of 135, 560, 358, 998 Calculator

Given Input numbers are 135, 560, 358, 998

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 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

GCD of numbers is the greatest common divisor

So, the GCD (135, 560, 358, 998) = 1.

Given numbers are 135, 560, 358, 998

The list of prime factors of all numbers are

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

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

Prime factors of 358 are 2 x 179

Prime factors of 998 are 2 x 499

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

Given numbers are 135, 560, 358, 998

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

Apply this formula for all numbers.

Step1:

LCM(135, 560) = 15120

GCD(135, 560) = ( 135 x 560 ) / 15120

= 135 / 560

= 135

Step2:

LCM(5, 358) = 1790

GCD(5, 358) = ( 5 x 358 ) / 1790

= 5 / 358

= 5

Step3:

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

= 1 / 998

= 1

So, Greatest Common Divisor of 135, 560, 358, 998 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 112, 444, 616, 720
• GCD of 510, 408, 583, 981
• GCD of 324, 595, 946, 778
• GCD of 301, 896, 729, 114
• GCD of 369, 730, 922, 429

Given numbers are 135, 560, 358, 998
The greatest common divisor of numbers 135, 560, 358, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 560, 358, 998 is 1.

1. What is the GCD of 135, 560, 358, 998?

GCD of given numbers 135, 560, 358, 998 is 1

2. How to calculate the greatest common divisor of 135, 560, 358, 998?

We can find the highest common divisor of 135, 560, 358, 998 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, 560, 358, 998 i.e 1.

3. How can I use the GCD of 135, 560, 358, 998Calculator?

Out the numbers 135, 560, 358, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.