GCD of 349, 309, 920, 616 Calculator

Given Input numbers are 349, 309, 920, 616

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

Divisors of 349 :

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

1, 349

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

GCD of numbers is the greatest common divisor

So, the GCD (349, 309, 920, 616) = 1.

Given numbers are 349, 309, 920, 616

The list of prime factors of all numbers are

Prime factors of 349 are 349

Prime factors of 309 are 3 x 103

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

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

Given numbers are 349, 309, 920, 616

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

Apply this formula for all numbers.

Step1:

LCM(349, 309) = 107841

GCD(349, 309) = ( 349 x 309 ) / 107841

= 349 / 309

= 349

Step2:

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

= 1 / 920

= 1

Step3:

LCM(1, 616) = 616

GCD(1, 616) = ( 1 x 616 ) / 616

= 1 / 616

= 1

So, Greatest Common Divisor of 349, 309, 920, 616 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 636, 827, 703, 366
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• GCD of 131, 680, 890, 177

Given numbers are 349, 309, 920, 616
The greatest common divisor of numbers 349, 309, 920, 616 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 349, 309, 920, 616 is 1.

1. What is the GCD of 349, 309, 920, 616?

GCD of given numbers 349, 309, 920, 616 is 1

2. How to calculate the greatest common divisor of 349, 309, 920, 616?

We can find the highest common divisor of 349, 309, 920, 616 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 349, 309, 920, 616 i.e 1.

3. How can I use the GCD of 349, 309, 920, 616Calculator?

Out the numbers 349, 309, 920, 616 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.