GCD of 705, 727, 116, 142 Calculator

Given Input numbers are 705, 727, 116, 142

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

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 727 :

The positive integer divisors of 727 that completely divides 727 are.

1, 727

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

Divisors of 142 :

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

1, 2, 71, 142

GCD of numbers is the greatest common divisor

So, the GCD (705, 727, 116, 142) = 1.

Given numbers are 705, 727, 116, 142

The list of prime factors of all numbers are

Prime factors of 705 are 3 x 5 x 47

Prime factors of 727 are 727

Prime factors of 116 are 2 x 2 x 29

Prime factors of 142 are 2 x 71

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

Given numbers are 705, 727, 116, 142

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

Apply this formula for all numbers.

Step1:

LCM(705, 727) = 512535

GCD(705, 727) = ( 705 x 727 ) / 512535

= 705 / 727

= 705

Step2:

LCM(1, 116) = 116

GCD(1, 116) = ( 1 x 116 ) / 116

= 1 / 116

= 1

Step3:

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

= 1 / 142

= 1

So, Greatest Common Divisor of 705, 727, 116, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 492, 936, 716, 704
• GCD of 155, 240, 120, 306
• GCD of 968, 993, 912, 818
• GCD of 328, 210, 167, 833
• GCD of 474, 544, 529, 929

Given numbers are 705, 727, 116, 142
The greatest common divisor of numbers 705, 727, 116, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 727, 116, 142 is 1.

1. What is the GCD of 705, 727, 116, 142?

GCD of given numbers 705, 727, 116, 142 is 1

2. How to calculate the greatest common divisor of 705, 727, 116, 142?

We can find the highest common divisor of 705, 727, 116, 142 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 705, 727, 116, 142 i.e 1.

3. How can I use the GCD of 705, 727, 116, 142Calculator?

Out the numbers 705, 727, 116, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.