GCD of 900, 662, 142 Calculator

Given Input numbers are 900, 662, 142

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

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 662 :

The positive integer divisors of 662 that completely divides 662 are.

1, 2, 331, 662

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 (900, 662, 142) = 2.

Given numbers are 900, 662, 142

The list of prime factors of all numbers are

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 662 are 2 x 331

Prime factors of 142 are 2 x 71

The highest common occurrence is 2¹

Therefore, GCD of 900, 662, 142 is 2.

Given numbers are 900, 662, 142

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

Apply this formula for all numbers.

Step1:

LCM(900, 662) = 297900

GCD(900, 662) = ( 900 x 662 ) / 297900

= 900 / 662

= 900

Step2:

LCM(2, 142) = 142

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

= 2 / 142

= 2

So, Greatest Common Divisor of 900, 662, 142 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 401, 958, 887
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• GCD of 844, 798, 351
• GCD of 282, 230, 754
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Given numbers are 900, 662, 142
The greatest common divisor of numbers 900, 662, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 662, 142 is 2.

1. What is the GCD of 900, 662, 142?

GCD of given numbers 900, 662, 142 is 2

2. How to calculate the greatest common divisor of 900, 662, 142?

We can find the highest common divisor of 900, 662, 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 900, 662, 142 i.e 2.

3. How can I use the GCD of 900, 662, 142Calculator?

Out the numbers 900, 662, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.