GCD of 290, 120, 146, 100 Calculator

Given Input numbers are 290, 120, 146, 100

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

Divisors of 290 :

The positive integer divisors of 290 that completely divides 290 are.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146

Divisors of 100 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (290, 120, 146, 100) = 2.

Given numbers are 290, 120, 146, 100

The list of prime factors of all numbers are

Prime factors of 290 are 2 x 5 x 29

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 146 are 2 x 73

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

The highest common occurrence is 2¹

Therefore, GCD of 290, 120, 146, 100 is 2.

Given numbers are 290, 120, 146, 100

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

Apply this formula for all numbers.

Step1:

LCM(290, 120) = 3480

GCD(290, 120) = ( 290 x 120 ) / 3480

= 290 / 120

= 290

Step2:

LCM(10, 146) = 730

GCD(10, 146) = ( 10 x 146 ) / 730

= 10 / 146

= 10

Step3:

LCM(2, 100) = 100

GCD(2, 100) = ( 2 x 100 ) / 100

= 2 / 100

= 2

So, Greatest Common Divisor of 290, 120, 146, 100 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 951, 630, 645, 672
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Given numbers are 290, 120, 146, 100
The greatest common divisor of numbers 290, 120, 146, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 290, 120, 146, 100 is 2.

1. What is the GCD of 290, 120, 146, 100?

GCD of given numbers 290, 120, 146, 100 is 2

2. How to calculate the greatest common divisor of 290, 120, 146, 100?

We can find the highest common divisor of 290, 120, 146, 100 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 290, 120, 146, 100 i.e 2.

3. How can I use the GCD of 290, 120, 146, 100Calculator?

Out the numbers 290, 120, 146, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.