GCD of 715, 135, 178, 690 Calculator

Given Input numbers are 715, 135, 178, 690

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

Divisors of 715 :

The positive integer divisors of 715 that completely divides 715 are.

1, 5, 11, 13, 55, 65, 143, 715

Divisors of 135 :

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

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

Divisors of 178 :

The positive integer divisors of 178 that completely divides 178 are.

1, 2, 89, 178

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

GCD of numbers is the greatest common divisor

So, the GCD (715, 135, 178, 690) = 1.

Given numbers are 715, 135, 178, 690

The list of prime factors of all numbers are

Prime factors of 715 are 5 x 11 x 13

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

Prime factors of 178 are 2 x 89

Prime factors of 690 are 2 x 3 x 5 x 23

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

Given numbers are 715, 135, 178, 690

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

Apply this formula for all numbers.

Step1:

LCM(715, 135) = 19305

GCD(715, 135) = ( 715 x 135 ) / 19305

= 715 / 135

= 715

Step2:

LCM(5, 178) = 890

GCD(5, 178) = ( 5 x 178 ) / 890

= 5 / 178

= 5

Step3:

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

= 1 / 690

= 1

So, Greatest Common Divisor of 715, 135, 178, 690 is 1

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Given numbers are 715, 135, 178, 690
The greatest common divisor of numbers 715, 135, 178, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 715, 135, 178, 690 is 1.

1. What is the GCD of 715, 135, 178, 690?

GCD of given numbers 715, 135, 178, 690 is 1

2. How to calculate the greatest common divisor of 715, 135, 178, 690?

We can find the highest common divisor of 715, 135, 178, 690 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 715, 135, 178, 690 i.e 1.

3. How can I use the GCD of 715, 135, 178, 690Calculator?

Out the numbers 715, 135, 178, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.