GCD of 135, 493, 169, 700 Calculator

Given Input numbers are 135, 493, 169, 700

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 493 :

The positive integer divisors of 493 that completely divides 493 are.

1, 17, 29, 493

Divisors of 169 :

The positive integer divisors of 169 that completely divides 169 are.

1, 13, 169

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

GCD of numbers is the greatest common divisor

So, the GCD (135, 493, 169, 700) = 1.

Given numbers are 135, 493, 169, 700

The list of prime factors of all numbers are

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

Prime factors of 493 are 17 x 29

Prime factors of 169 are 13 x 13

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

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

Given numbers are 135, 493, 169, 700

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

Apply this formula for all numbers.

Step1:

LCM(135, 493) = 66555

GCD(135, 493) = ( 135 x 493 ) / 66555

= 135 / 493

= 135

Step2:

LCM(1, 169) = 169

GCD(1, 169) = ( 1 x 169 ) / 169

= 1 / 169

= 1

Step3:

LCM(1, 700) = 700

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

= 1 / 700

= 1

So, Greatest Common Divisor of 135, 493, 169, 700 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 336, 132, 909, 716
• GCD of 813, 844, 865, 527
• GCD of 433, 775, 603, 987
• GCD of 660, 157, 588, 647
• GCD of 833, 940, 475, 398

Given numbers are 135, 493, 169, 700
The greatest common divisor of numbers 135, 493, 169, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 493, 169, 700 is 1.

1. What is the GCD of 135, 493, 169, 700?

GCD of given numbers 135, 493, 169, 700 is 1

2. How to calculate the greatest common divisor of 135, 493, 169, 700?

We can find the highest common divisor of 135, 493, 169, 700 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, 493, 169, 700 i.e 1.

3. How can I use the GCD of 135, 493, 169, 700Calculator?

Out the numbers 135, 493, 169, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.