GCD of 608, 100, 108, 858 Calculator

Given Input numbers are 608, 100, 108, 858

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

Divisors of 608 :

The positive integer divisors of 608 that completely divides 608 are.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 858 :

The positive integer divisors of 858 that completely divides 858 are.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

GCD of numbers is the greatest common divisor

So, the GCD (608, 100, 108, 858) = 2.

Given numbers are 608, 100, 108, 858

The list of prime factors of all numbers are

Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 858 are 2 x 3 x 11 x 13

The highest common occurrence is 2¹

Therefore, GCD of 608, 100, 108, 858 is 2.

Given numbers are 608, 100, 108, 858

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

Apply this formula for all numbers.

Step1:

LCM(608, 100) = 15200

GCD(608, 100) = ( 608 x 100 ) / 15200

= 608 / 100

= 608

Step2:

LCM(4, 108) = 108

GCD(4, 108) = ( 4 x 108 ) / 108

= 4 / 108

= 4

Step3:

LCM(4, 858) = 1716

GCD(4, 858) = ( 4 x 858 ) / 1716

= 4 / 858

= 4

So, Greatest Common Divisor of 608, 100, 108, 858 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 559, 954, 902, 392
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• GCD of 884, 869, 737, 122
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• GCD of 116, 940, 490, 786

Given numbers are 608, 100, 108, 858
The greatest common divisor of numbers 608, 100, 108, 858 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 608, 100, 108, 858 is 2.

1. What is the GCD of 608, 100, 108, 858?

GCD of given numbers 608, 100, 108, 858 is 2

2. How to calculate the greatest common divisor of 608, 100, 108, 858?

We can find the highest common divisor of 608, 100, 108, 858 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 608, 100, 108, 858 i.e 2.

3. How can I use the GCD of 608, 100, 108, 858Calculator?

Out the numbers 608, 100, 108, 858 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.