GCD of 364, 106, 735, 714 Calculator

Given Input numbers are 364, 106, 735, 714

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

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

GCD of numbers is the greatest common divisor

So, the GCD (364, 106, 735, 714) = 1.

Given numbers are 364, 106, 735, 714

The list of prime factors of all numbers are

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 106 are 2 x 53

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 714 are 2 x 3 x 7 x 17

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

Given numbers are 364, 106, 735, 714

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

Apply this formula for all numbers.

Step1:

LCM(364, 106) = 19292

GCD(364, 106) = ( 364 x 106 ) / 19292

= 364 / 106

= 364

Step2:

LCM(2, 735) = 1470

GCD(2, 735) = ( 2 x 735 ) / 1470

= 2 / 735

= 2

Step3:

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

= 1 / 714

= 1

So, Greatest Common Divisor of 364, 106, 735, 714 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 122, 833, 298, 740
• GCD of 607, 990, 314, 626
• GCD of 627, 149, 131, 252
• GCD of 547, 423, 673, 774
• GCD of 773, 178, 571, 879

Given numbers are 364, 106, 735, 714
The greatest common divisor of numbers 364, 106, 735, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 106, 735, 714 is 1.

1. What is the GCD of 364, 106, 735, 714?

GCD of given numbers 364, 106, 735, 714 is 1

2. How to calculate the greatest common divisor of 364, 106, 735, 714?

We can find the highest common divisor of 364, 106, 735, 714 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 364, 106, 735, 714 i.e 1.

3. How can I use the GCD of 364, 106, 735, 714Calculator?

Out the numbers 364, 106, 735, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.