GCD of 765, 561, 860, 348 Calculator

Given Input numbers are 765, 561, 860, 348

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

Divisors of 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 860 :

The positive integer divisors of 860 that completely divides 860 are.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

GCD of numbers is the greatest common divisor

So, the GCD (765, 561, 860, 348) = 1.

Given numbers are 765, 561, 860, 348

The list of prime factors of all numbers are

Prime factors of 765 are 3 x 3 x 5 x 17

Prime factors of 561 are 3 x 11 x 17

Prime factors of 860 are 2 x 2 x 5 x 43

Prime factors of 348 are 2 x 2 x 3 x 29

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

Given numbers are 765, 561, 860, 348

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

Apply this formula for all numbers.

Step1:

LCM(765, 561) = 8415

GCD(765, 561) = ( 765 x 561 ) / 8415

= 765 / 561

= 765

Step2:

LCM(51, 860) = 43860

GCD(51, 860) = ( 51 x 860 ) / 43860

= 51 / 860

= 51

Step3:

LCM(1, 348) = 348

GCD(1, 348) = ( 1 x 348 ) / 348

= 1 / 348

= 1

So, Greatest Common Divisor of 765, 561, 860, 348 is 1

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Given numbers are 765, 561, 860, 348
The greatest common divisor of numbers 765, 561, 860, 348 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 765, 561, 860, 348 is 1.

1. What is the GCD of 765, 561, 860, 348?

GCD of given numbers 765, 561, 860, 348 is 1

2. How to calculate the greatest common divisor of 765, 561, 860, 348?

We can find the highest common divisor of 765, 561, 860, 348 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 765, 561, 860, 348 i.e 1.

3. How can I use the GCD of 765, 561, 860, 348Calculator?

Out the numbers 765, 561, 860, 348 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.