GCD of 261, 348, 759, 428 Calculator

Given Input numbers are 261, 348, 759, 428

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

Divisors of 261 :

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

1, 3, 9, 29, 87, 261

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

Divisors of 759 :

The positive integer divisors of 759 that completely divides 759 are.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

GCD of numbers is the greatest common divisor

So, the GCD (261, 348, 759, 428) = 1.

Given numbers are 261, 348, 759, 428

The list of prime factors of all numbers are

Prime factors of 261 are 3 x 3 x 29

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

Prime factors of 759 are 3 x 11 x 23

Prime factors of 428 are 2 x 2 x 107

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

Given numbers are 261, 348, 759, 428

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

Apply this formula for all numbers.

Step1:

LCM(261, 348) = 1044

GCD(261, 348) = ( 261 x 348 ) / 1044

= 261 / 348

= 261

Step2:

LCM(87, 759) = 22011

GCD(87, 759) = ( 87 x 759 ) / 22011

= 87 / 759

= 87

Step3:

LCM(3, 428) = 1284

GCD(3, 428) = ( 3 x 428 ) / 1284

= 3 / 428

= 3

So, Greatest Common Divisor of 261, 348, 759, 428 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 979, 166, 692, 207
• GCD of 714, 107, 325, 343
• GCD of 683, 941, 871, 974
• GCD of 366, 428, 132, 661
• GCD of 515, 843, 745, 175

Given numbers are 261, 348, 759, 428
The greatest common divisor of numbers 261, 348, 759, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 261, 348, 759, 428 is 1.

1. What is the GCD of 261, 348, 759, 428?

GCD of given numbers 261, 348, 759, 428 is 1

2. How to calculate the greatest common divisor of 261, 348, 759, 428?

We can find the highest common divisor of 261, 348, 759, 428 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 261, 348, 759, 428 i.e 1.

3. How can I use the GCD of 261, 348, 759, 428Calculator?

Out the numbers 261, 348, 759, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.