GCD of 105, 721, 378, 533 Calculator

Given Input numbers are 105, 721, 378, 533

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 721 :

The positive integer divisors of 721 that completely divides 721 are.

1, 7, 103, 721

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 533 :

The positive integer divisors of 533 that completely divides 533 are.

1, 13, 41, 533

GCD of numbers is the greatest common divisor

So, the GCD (105, 721, 378, 533) = 1.

Given numbers are 105, 721, 378, 533

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 721 are 7 x 103

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 533 are 13 x 41

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

Given numbers are 105, 721, 378, 533

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

Apply this formula for all numbers.

Step1:

LCM(105, 721) = 10815

GCD(105, 721) = ( 105 x 721 ) / 10815

= 105 / 721

= 105

Step2:

LCM(7, 378) = 378

GCD(7, 378) = ( 7 x 378 ) / 378

= 7 / 378

= 7

Step3:

LCM(7, 533) = 3731

GCD(7, 533) = ( 7 x 533 ) / 3731

= 7 / 533

= 7

So, Greatest Common Divisor of 105, 721, 378, 533 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 170, 384, 127, 127
• GCD of 518, 969, 692, 585
• GCD of 809, 326, 905, 790
• GCD of 618, 856, 257, 823
• GCD of 819, 684, 653, 204

Given numbers are 105, 721, 378, 533
The greatest common divisor of numbers 105, 721, 378, 533 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 721, 378, 533 is 1.

1. What is the GCD of 105, 721, 378, 533?

GCD of given numbers 105, 721, 378, 533 is 1

2. How to calculate the greatest common divisor of 105, 721, 378, 533?

We can find the highest common divisor of 105, 721, 378, 533 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, 721, 378, 533 i.e 1.

3. How can I use the GCD of 105, 721, 378, 533Calculator?

Out the numbers 105, 721, 378, 533 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.