GCD of 208, 413, 767, 142 Calculator

Given Input numbers are 208, 413, 767, 142

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

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 413 :

The positive integer divisors of 413 that completely divides 413 are.

1, 7, 59, 413

Divisors of 767 :

The positive integer divisors of 767 that completely divides 767 are.

1, 13, 59, 767

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 (208, 413, 767, 142) = 1.

Given numbers are 208, 413, 767, 142

The list of prime factors of all numbers are

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 413 are 7 x 59

Prime factors of 767 are 13 x 59

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 208, 413, 767, 142

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

Apply this formula for all numbers.

Step1:

LCM(208, 413) = 85904

GCD(208, 413) = ( 208 x 413 ) / 85904

= 208 / 413

= 208

Step2:

LCM(1, 767) = 767

GCD(1, 767) = ( 1 x 767 ) / 767

= 1 / 767

= 1

Step3:

LCM(1, 142) = 142

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

= 1 / 142

= 1

So, Greatest Common Divisor of 208, 413, 767, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 847, 726, 777, 827
• GCD of 855, 917, 217, 581
• GCD of 905, 774, 413, 439
• GCD of 849, 336, 604, 669
• GCD of 933, 473, 895, 291

Given numbers are 208, 413, 767, 142
The greatest common divisor of numbers 208, 413, 767, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 413, 767, 142 is 1.

1. What is the GCD of 208, 413, 767, 142?

GCD of given numbers 208, 413, 767, 142 is 1

2. How to calculate the greatest common divisor of 208, 413, 767, 142?

We can find the highest common divisor of 208, 413, 767, 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 208, 413, 767, 142 i.e 1.

3. How can I use the GCD of 208, 413, 767, 142Calculator?

Out the numbers 208, 413, 767, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.