GCD of 796, 326, 870, 142 Calculator

Given Input numbers are 796, 326, 870, 142

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

Divisors of 796 :

The positive integer divisors of 796 that completely divides 796 are.

1, 2, 4, 199, 398, 796

Divisors of 326 :

The positive integer divisors of 326 that completely divides 326 are.

1, 2, 163, 326

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

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 (796, 326, 870, 142) = 2.

Given numbers are 796, 326, 870, 142

The list of prime factors of all numbers are

Prime factors of 796 are 2 x 2 x 199

Prime factors of 326 are 2 x 163

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 142 are 2 x 71

The highest common occurrence is 2¹

Therefore, GCD of 796, 326, 870, 142 is 2.

Given numbers are 796, 326, 870, 142

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

Apply this formula for all numbers.

Step1:

LCM(796, 326) = 129748

GCD(796, 326) = ( 796 x 326 ) / 129748

= 796 / 326

= 796

Step2:

LCM(2, 870) = 870

GCD(2, 870) = ( 2 x 870 ) / 870

= 2 / 870

= 2

Step3:

LCM(2, 142) = 142

GCD(2, 142) = ( 2 x 142 ) / 142

= 2 / 142

= 2

So, Greatest Common Divisor of 796, 326, 870, 142 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 410, 192, 449, 963
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• GCD of 813, 233, 532, 366
• GCD of 999, 567, 594, 252
• GCD of 768, 685, 751, 419

Given numbers are 796, 326, 870, 142
The greatest common divisor of numbers 796, 326, 870, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 796, 326, 870, 142 is 2.

1. What is the GCD of 796, 326, 870, 142?

GCD of given numbers 796, 326, 870, 142 is 2

2. How to calculate the greatest common divisor of 796, 326, 870, 142?

We can find the highest common divisor of 796, 326, 870, 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 796, 326, 870, 142 i.e 2.

3. How can I use the GCD of 796, 326, 870, 142Calculator?

Out the numbers 796, 326, 870, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.