GCD of 827, 824, 361, 142 Calculator

Given Input numbers are 827, 824, 361, 142

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

Divisors of 827 :

The positive integer divisors of 827 that completely divides 827 are.

1, 827

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

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 (827, 824, 361, 142) = 1.

Given numbers are 827, 824, 361, 142

The list of prime factors of all numbers are

Prime factors of 827 are 827

Prime factors of 824 are 2 x 2 x 2 x 103

Prime factors of 361 are 19 x 19

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 827, 824, 361, 142

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

Apply this formula for all numbers.

Step1:

LCM(827, 824) = 681448

GCD(827, 824) = ( 827 x 824 ) / 681448

= 827 / 824

= 827

Step2:

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

= 1 / 361

= 1

Step3:

LCM(1, 142) = 142

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

= 1 / 142

= 1

So, Greatest Common Divisor of 827, 824, 361, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 548, 752, 156, 253
• GCD of 573, 222, 619, 541
• GCD of 713, 586, 505, 557
• GCD of 702, 744, 389, 209
• GCD of 196, 438, 880, 707

Given numbers are 827, 824, 361, 142
The greatest common divisor of numbers 827, 824, 361, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 827, 824, 361, 142 is 1.

1. What is the GCD of 827, 824, 361, 142?

GCD of given numbers 827, 824, 361, 142 is 1

2. How to calculate the greatest common divisor of 827, 824, 361, 142?

We can find the highest common divisor of 827, 824, 361, 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 827, 824, 361, 142 i.e 1.

3. How can I use the GCD of 827, 824, 361, 142Calculator?

Out the numbers 827, 824, 361, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.