GCD of 105, 738, 323, 776 Calculator

Given Input numbers are 105, 738, 323, 776

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

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 323 :

The positive integer divisors of 323 that completely divides 323 are.

1, 17, 19, 323

Divisors of 776 :

The positive integer divisors of 776 that completely divides 776 are.

1, 2, 4, 8, 97, 194, 388, 776

GCD of numbers is the greatest common divisor

So, the GCD (105, 738, 323, 776) = 1.

Given numbers are 105, 738, 323, 776

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 323 are 17 x 19

Prime factors of 776 are 2 x 2 x 2 x 97

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

Given numbers are 105, 738, 323, 776

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

Apply this formula for all numbers.

Step1:

LCM(105, 738) = 25830

GCD(105, 738) = ( 105 x 738 ) / 25830

= 105 / 738

= 105

Step2:

LCM(3, 323) = 969

GCD(3, 323) = ( 3 x 323 ) / 969

= 3 / 323

= 3

Step3:

LCM(1, 776) = 776

GCD(1, 776) = ( 1 x 776 ) / 776

= 1 / 776

= 1

So, Greatest Common Divisor of 105, 738, 323, 776 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 957, 394, 686, 853
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• GCD of 525, 357, 613, 462
• GCD of 623, 817, 757, 212
• GCD of 213, 147, 291, 892

Given numbers are 105, 738, 323, 776
The greatest common divisor of numbers 105, 738, 323, 776 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 738, 323, 776 is 1.

1. What is the GCD of 105, 738, 323, 776?

GCD of given numbers 105, 738, 323, 776 is 1

2. How to calculate the greatest common divisor of 105, 738, 323, 776?

We can find the highest common divisor of 105, 738, 323, 776 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 105, 738, 323, 776 i.e 1.

3. How can I use the GCD of 105, 738, 323, 776Calculator?

Out the numbers 105, 738, 323, 776 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.