GCD of 765, 325, 277, 214 Calculator

Given Input numbers are 765, 325, 277, 214

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 325 :

The positive integer divisors of 325 that completely divides 325 are.

1, 5, 13, 25, 65, 325

Divisors of 277 :

The positive integer divisors of 277 that completely divides 277 are.

1, 277

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

GCD of numbers is the greatest common divisor

So, the GCD (765, 325, 277, 214) = 1.

Given numbers are 765, 325, 277, 214

The list of prime factors of all numbers are

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

Prime factors of 325 are 5 x 5 x 13

Prime factors of 277 are 277

Prime factors of 214 are 2 x 107

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

Given numbers are 765, 325, 277, 214

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

Apply this formula for all numbers.

Step1:

LCM(765, 325) = 49725

GCD(765, 325) = ( 765 x 325 ) / 49725

= 765 / 325

= 765

Step2:

LCM(5, 277) = 1385

GCD(5, 277) = ( 5 x 277 ) / 1385

= 5 / 277

= 5

Step3:

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

= 1 / 214

= 1

So, Greatest Common Divisor of 765, 325, 277, 214 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 711, 267, 720, 196
• GCD of 569, 359, 259, 682
• GCD of 237, 987, 794, 489
• GCD of 199, 680, 665, 388
• GCD of 160, 346, 510, 501

Given numbers are 765, 325, 277, 214
The greatest common divisor of numbers 765, 325, 277, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 765, 325, 277, 214 is 1.

1. What is the GCD of 765, 325, 277, 214?

GCD of given numbers 765, 325, 277, 214 is 1

2. How to calculate the greatest common divisor of 765, 325, 277, 214?

We can find the highest common divisor of 765, 325, 277, 214 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, 325, 277, 214 i.e 1.

3. How can I use the GCD of 765, 325, 277, 214Calculator?

Out the numbers 765, 325, 277, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.