GCD of 642, 116, 352, 868 Calculator

Given Input numbers are 642, 116, 352, 868

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

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 116 :

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

1, 2, 4, 29, 58, 116

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

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

GCD of numbers is the greatest common divisor

So, the GCD (642, 116, 352, 868) = 2.

Given numbers are 642, 116, 352, 868

The list of prime factors of all numbers are

Prime factors of 642 are 2 x 3 x 107

Prime factors of 116 are 2 x 2 x 29

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

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

The highest common occurrence is 2¹

Therefore, GCD of 642, 116, 352, 868 is 2.

Given numbers are 642, 116, 352, 868

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

Apply this formula for all numbers.

Step1:

LCM(642, 116) = 37236

GCD(642, 116) = ( 642 x 116 ) / 37236

= 642 / 116

= 642

Step2:

LCM(2, 352) = 352

GCD(2, 352) = ( 2 x 352 ) / 352

= 2 / 352

= 2

Step3:

LCM(2, 868) = 868

GCD(2, 868) = ( 2 x 868 ) / 868

= 2 / 868

= 2

So, Greatest Common Divisor of 642, 116, 352, 868 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 227, 152, 564, 503
• GCD of 235, 663, 487, 141
• GCD of 501, 590, 422, 689
• GCD of 884, 574, 167, 770
• GCD of 667, 605, 229, 332

Given numbers are 642, 116, 352, 868
The greatest common divisor of numbers 642, 116, 352, 868 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 642, 116, 352, 868 is 2.

1. What is the GCD of 642, 116, 352, 868?

GCD of given numbers 642, 116, 352, 868 is 2

2. How to calculate the greatest common divisor of 642, 116, 352, 868?

We can find the highest common divisor of 642, 116, 352, 868 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 642, 116, 352, 868 i.e 2.

3. How can I use the GCD of 642, 116, 352, 868Calculator?

Out the numbers 642, 116, 352, 868 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.