GCD of 600, 882, 992, 142 Calculator

Given Input numbers are 600, 882, 992, 142

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

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

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 (600, 882, 992, 142) = 2.

Given numbers are 600, 882, 992, 142

The list of prime factors of all numbers are

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

Prime factors of 142 are 2 x 71

The highest common occurrence is 2¹

Therefore, GCD of 600, 882, 992, 142 is 2.

Given numbers are 600, 882, 992, 142

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

Apply this formula for all numbers.

Step1:

LCM(600, 882) = 88200

GCD(600, 882) = ( 600 x 882 ) / 88200

= 600 / 882

= 600

Step2:

LCM(6, 992) = 2976

GCD(6, 992) = ( 6 x 992 ) / 2976

= 6 / 992

= 6

Step3:

LCM(2, 142) = 142

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

= 2 / 142

= 2

So, Greatest Common Divisor of 600, 882, 992, 142 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 819, 352, 138, 729
• GCD of 187, 724, 590, 333
• GCD of 147, 327, 757, 722
• GCD of 120, 191, 762, 480
• GCD of 107, 200, 830, 433

Given numbers are 600, 882, 992, 142
The greatest common divisor of numbers 600, 882, 992, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 882, 992, 142 is 2.

1. What is the GCD of 600, 882, 992, 142?

GCD of given numbers 600, 882, 992, 142 is 2

2. How to calculate the greatest common divisor of 600, 882, 992, 142?

We can find the highest common divisor of 600, 882, 992, 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 600, 882, 992, 142 i.e 2.

3. How can I use the GCD of 600, 882, 992, 142Calculator?

Out the numbers 600, 882, 992, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.