GCD of 760, 646, 261, 509 Calculator

Given Input numbers are 760, 646, 261, 509

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

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 646 :

The positive integer divisors of 646 that completely divides 646 are.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

GCD of numbers is the greatest common divisor

So, the GCD (760, 646, 261, 509) = 1.

Given numbers are 760, 646, 261, 509

The list of prime factors of all numbers are

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

Prime factors of 646 are 2 x 17 x 19

Prime factors of 261 are 3 x 3 x 29

Prime factors of 509 are 509

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

Given numbers are 760, 646, 261, 509

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

Apply this formula for all numbers.

Step1:

LCM(760, 646) = 12920

GCD(760, 646) = ( 760 x 646 ) / 12920

= 760 / 646

= 760

Step2:

LCM(38, 261) = 9918

GCD(38, 261) = ( 38 x 261 ) / 9918

= 38 / 261

= 38

Step3:

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

= 1 / 509

= 1

So, Greatest Common Divisor of 760, 646, 261, 509 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 635, 102, 269, 620
• GCD of 254, 542, 718, 931
• GCD of 759, 768, 505, 483
• GCD of 633, 286, 712, 294
• GCD of 249, 357, 424, 545

Given numbers are 760, 646, 261, 509
The greatest common divisor of numbers 760, 646, 261, 509 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 760, 646, 261, 509 is 1.

1. What is the GCD of 760, 646, 261, 509?

GCD of given numbers 760, 646, 261, 509 is 1

2. How to calculate the greatest common divisor of 760, 646, 261, 509?

We can find the highest common divisor of 760, 646, 261, 509 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 760, 646, 261, 509 i.e 1.

3. How can I use the GCD of 760, 646, 261, 509Calculator?

Out the numbers 760, 646, 261, 509 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.