GCD of 916, 868, 205, 142 Calculator

Given Input numbers are 916, 868, 205, 142

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

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 868 :

The positive integer divisors of 868 that completely divides 868 are.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 205 :

The positive integer divisors of 205 that completely divides 205 are.

1, 5, 41, 205

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 (916, 868, 205, 142) = 1.

Given numbers are 916, 868, 205, 142

The list of prime factors of all numbers are

Prime factors of 916 are 2 x 2 x 229

Prime factors of 868 are 2 x 2 x 7 x 31

Prime factors of 205 are 5 x 41

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 916, 868, 205, 142

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

Apply this formula for all numbers.

Step1:

LCM(916, 868) = 198772

GCD(916, 868) = ( 916 x 868 ) / 198772

= 916 / 868

= 916

Step2:

LCM(4, 205) = 820

GCD(4, 205) = ( 4 x 205 ) / 820

= 4 / 205

= 4

Step3:

LCM(1, 142) = 142

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

= 1 / 142

= 1

So, Greatest Common Divisor of 916, 868, 205, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 694, 865, 960, 687
• GCD of 593, 456, 429, 154
• GCD of 906, 852, 418, 111
• GCD of 191, 105, 520, 209
• GCD of 698, 522, 167, 970

Given numbers are 916, 868, 205, 142
The greatest common divisor of numbers 916, 868, 205, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 916, 868, 205, 142 is 1.

1. What is the GCD of 916, 868, 205, 142?

GCD of given numbers 916, 868, 205, 142 is 1

2. How to calculate the greatest common divisor of 916, 868, 205, 142?

We can find the highest common divisor of 916, 868, 205, 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 916, 868, 205, 142 i.e 1.

3. How can I use the GCD of 916, 868, 205, 142Calculator?

Out the numbers 916, 868, 205, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.