GCD of 790, 715, 865, 965 Calculator

Given Input numbers are 790, 715, 865, 965

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

Divisors of 790 :

The positive integer divisors of 790 that completely divides 790 are.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 715 :

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

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

Divisors of 865 :

The positive integer divisors of 865 that completely divides 865 are.

1, 5, 173, 865

Divisors of 965 :

The positive integer divisors of 965 that completely divides 965 are.

1, 5, 193, 965

GCD of numbers is the greatest common divisor

So, the GCD (790, 715, 865, 965) = 5.

Given numbers are 790, 715, 865, 965

The list of prime factors of all numbers are

Prime factors of 790 are 2 x 5 x 79

Prime factors of 715 are 5 x 11 x 13

Prime factors of 865 are 5 x 173

Prime factors of 965 are 5 x 193

The highest common occurrence is 5¹

Therefore, GCD of 790, 715, 865, 965 is 5.

Given numbers are 790, 715, 865, 965

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

Apply this formula for all numbers.

Step1:

LCM(790, 715) = 112970

GCD(790, 715) = ( 790 x 715 ) / 112970

= 790 / 715

= 790

Step2:

LCM(5, 865) = 865

GCD(5, 865) = ( 5 x 865 ) / 865

= 5 / 865

= 5

Step3:

LCM(5, 965) = 965

GCD(5, 965) = ( 5 x 965 ) / 965

= 5 / 965

= 5

So, Greatest Common Divisor of 790, 715, 865, 965 is 5

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Given numbers are 790, 715, 865, 965
The greatest common divisor of numbers 790, 715, 865, 965 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 790, 715, 865, 965 is 5.

1. What is the GCD of 790, 715, 865, 965?

GCD of given numbers 790, 715, 865, 965 is 5

2. How to calculate the greatest common divisor of 790, 715, 865, 965?

We can find the highest common divisor of 790, 715, 865, 965 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 790, 715, 865, 965 i.e 5.

3. How can I use the GCD of 790, 715, 865, 965Calculator?

Out the numbers 790, 715, 865, 965 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.