GCD of 100, 564, 142, 646 Calculator

Given Input numbers are 100, 564, 142, 646

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

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 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 646 :

The positive integer divisors of 646 that completely divides 646 are.

1, 2, 17, 19, 34, 38, 323, 646

GCD of numbers is the greatest common divisor

So, the GCD (100, 564, 142, 646) = 2.

Given numbers are 100, 564, 142, 646

The list of prime factors of all numbers are

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

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 142 are 2 x 71

Prime factors of 646 are 2 x 17 x 19

The highest common occurrence is 2¹

Therefore, GCD of 100, 564, 142, 646 is 2.

Given numbers are 100, 564, 142, 646

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

Apply this formula for all numbers.

Step1:

LCM(100, 564) = 14100

GCD(100, 564) = ( 100 x 564 ) / 14100

= 100 / 564

= 100

Step2:

LCM(4, 142) = 284

GCD(4, 142) = ( 4 x 142 ) / 284

= 4 / 142

= 4

Step3:

LCM(2, 646) = 646

GCD(2, 646) = ( 2 x 646 ) / 646

= 2 / 646

= 2

So, Greatest Common Divisor of 100, 564, 142, 646 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 652, 423, 843, 849
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Given numbers are 100, 564, 142, 646
The greatest common divisor of numbers 100, 564, 142, 646 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 564, 142, 646 is 2.

1. What is the GCD of 100, 564, 142, 646?

GCD of given numbers 100, 564, 142, 646 is 2

2. How to calculate the greatest common divisor of 100, 564, 142, 646?

We can find the highest common divisor of 100, 564, 142, 646 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 100, 564, 142, 646 i.e 2.

3. How can I use the GCD of 100, 564, 142, 646Calculator?

Out the numbers 100, 564, 142, 646 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.