GCD of 101, 142, 728, 659 Calculator

Given Input numbers are 101, 142, 728, 659

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

Divisors of 101 :

The positive integer divisors of 101 that completely divides 101 are.

1, 101

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 659 :

The positive integer divisors of 659 that completely divides 659 are.

1, 659

GCD of numbers is the greatest common divisor

So, the GCD (101, 142, 728, 659) = 1.

Given numbers are 101, 142, 728, 659

The list of prime factors of all numbers are

Prime factors of 101 are 101

Prime factors of 142 are 2 x 71

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 659 are 659

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

Given numbers are 101, 142, 728, 659

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

Apply this formula for all numbers.

Step1:

LCM(101, 142) = 14342

GCD(101, 142) = ( 101 x 142 ) / 14342

= 101 / 142

= 101

Step2:

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

= 1 / 728

= 1

Step3:

LCM(1, 659) = 659

GCD(1, 659) = ( 1 x 659 ) / 659

= 1 / 659

= 1

So, Greatest Common Divisor of 101, 142, 728, 659 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 363, 509, 210, 751
• GCD of 485, 519, 716, 466
• GCD of 731, 364, 250, 183
• GCD of 837, 214, 401, 954
• GCD of 288, 986, 942, 230

Given numbers are 101, 142, 728, 659
The greatest common divisor of numbers 101, 142, 728, 659 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 101, 142, 728, 659 is 1.

1. What is the GCD of 101, 142, 728, 659?

GCD of given numbers 101, 142, 728, 659 is 1

2. How to calculate the greatest common divisor of 101, 142, 728, 659?

We can find the highest common divisor of 101, 142, 728, 659 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 101, 142, 728, 659 i.e 1.

3. How can I use the GCD of 101, 142, 728, 659Calculator?

Out the numbers 101, 142, 728, 659 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.