GCD of 705, 104, 349, 761 Calculator

Given Input numbers are 705, 104, 349, 761

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 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

Divisors of 761 :

The positive integer divisors of 761 that completely divides 761 are.

1, 761

GCD of numbers is the greatest common divisor

So, the GCD (705, 104, 349, 761) = 1.

Given numbers are 705, 104, 349, 761

The list of prime factors of all numbers are

Prime factors of 705 are 3 x 5 x 47

Prime factors of 104 are 2 x 2 x 2 x 13

Prime factors of 349 are 349

Prime factors of 761 are 761

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

Given numbers are 705, 104, 349, 761

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

Apply this formula for all numbers.

Step1:

LCM(705, 104) = 73320

GCD(705, 104) = ( 705 x 104 ) / 73320

= 705 / 104

= 705

Step2:

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

= 1 / 349

= 1

Step3:

LCM(1, 761) = 761

GCD(1, 761) = ( 1 x 761 ) / 761

= 1 / 761

= 1

So, Greatest Common Divisor of 705, 104, 349, 761 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 815, 587, 833, 787
• GCD of 583, 225, 583, 448
• GCD of 484, 932, 814, 139
• GCD of 607, 911, 208, 701
• GCD of 132, 812, 348, 570

Given numbers are 705, 104, 349, 761
The greatest common divisor of numbers 705, 104, 349, 761 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 104, 349, 761 is 1.

1. What is the GCD of 705, 104, 349, 761?

GCD of given numbers 705, 104, 349, 761 is 1

2. How to calculate the greatest common divisor of 705, 104, 349, 761?

We can find the highest common divisor of 705, 104, 349, 761 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, 104, 349, 761 i.e 1.

3. How can I use the GCD of 705, 104, 349, 761Calculator?

Out the numbers 705, 104, 349, 761 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.