GCD of 705, 965, 375, 584 Calculator

Given Input numbers are 705, 965, 375, 584

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

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 965 :

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

1, 5, 193, 965

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

GCD of numbers is the greatest common divisor

So, the GCD (705, 965, 375, 584) = 1.

Given numbers are 705, 965, 375, 584

The list of prime factors of all numbers are

Prime factors of 705 are 3 x 5 x 47

Prime factors of 965 are 5 x 193

Prime factors of 375 are 3 x 5 x 5 x 5

Prime factors of 584 are 2 x 2 x 2 x 73

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

Given numbers are 705, 965, 375, 584

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

Apply this formula for all numbers.

Step1:

LCM(705, 965) = 136065

GCD(705, 965) = ( 705 x 965 ) / 136065

= 705 / 965

= 705

Step2:

LCM(5, 375) = 375

GCD(5, 375) = ( 5 x 375 ) / 375

= 5 / 375

= 5

Step3:

LCM(5, 584) = 2920

GCD(5, 584) = ( 5 x 584 ) / 2920

= 5 / 584

= 5

So, Greatest Common Divisor of 705, 965, 375, 584 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 415, 622, 201, 749
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Given numbers are 705, 965, 375, 584
The greatest common divisor of numbers 705, 965, 375, 584 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 965, 375, 584 is 1.

1. What is the GCD of 705, 965, 375, 584?

GCD of given numbers 705, 965, 375, 584 is 1

2. How to calculate the greatest common divisor of 705, 965, 375, 584?

We can find the highest common divisor of 705, 965, 375, 584 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 705, 965, 375, 584 i.e 1.

3. How can I use the GCD of 705, 965, 375, 584Calculator?

Out the numbers 705, 965, 375, 584 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.