GCD of 905, 855, 715, 742 Calculator

Given Input numbers are 905, 855, 715, 742

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

Divisors of 905 :

The positive integer divisors of 905 that completely divides 905 are.

1, 5, 181, 905

Divisors of 855 :

The positive integer divisors of 855 that completely divides 855 are.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Divisors of 715 :

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

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

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

GCD of numbers is the greatest common divisor

So, the GCD (905, 855, 715, 742) = 1.

Given numbers are 905, 855, 715, 742

The list of prime factors of all numbers are

Prime factors of 905 are 5 x 181

Prime factors of 855 are 3 x 3 x 5 x 19

Prime factors of 715 are 5 x 11 x 13

Prime factors of 742 are 2 x 7 x 53

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

Given numbers are 905, 855, 715, 742

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

Apply this formula for all numbers.

Step1:

LCM(905, 855) = 154755

GCD(905, 855) = ( 905 x 855 ) / 154755

= 905 / 855

= 905

Step2:

LCM(5, 715) = 715

GCD(5, 715) = ( 5 x 715 ) / 715

= 5 / 715

= 5

Step3:

LCM(5, 742) = 3710

GCD(5, 742) = ( 5 x 742 ) / 3710

= 5 / 742

= 5

So, Greatest Common Divisor of 905, 855, 715, 742 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 826, 259, 520, 433
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• GCD of 980, 275, 917, 211
• GCD of 586, 949, 166, 418

Given numbers are 905, 855, 715, 742
The greatest common divisor of numbers 905, 855, 715, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 905, 855, 715, 742 is 1.

1. What is the GCD of 905, 855, 715, 742?

GCD of given numbers 905, 855, 715, 742 is 1

2. How to calculate the greatest common divisor of 905, 855, 715, 742?

We can find the highest common divisor of 905, 855, 715, 742 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 905, 855, 715, 742 i.e 1.

3. How can I use the GCD of 905, 855, 715, 742Calculator?

Out the numbers 905, 855, 715, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.