GCD of 992, 254, 150, 142 Calculator

Given Input numbers are 992, 254, 150, 142

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

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 254 :

The positive integer divisors of 254 that completely divides 254 are.

1, 2, 127, 254

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

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 (992, 254, 150, 142) = 2.

Given numbers are 992, 254, 150, 142

The list of prime factors of all numbers are

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

Prime factors of 254 are 2 x 127

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 142 are 2 x 71

The highest common occurrence is 2¹

Therefore, GCD of 992, 254, 150, 142 is 2.

Given numbers are 992, 254, 150, 142

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

Apply this formula for all numbers.

Step1:

LCM(992, 254) = 125984

GCD(992, 254) = ( 992 x 254 ) / 125984

= 992 / 254

= 992

Step2:

LCM(2, 150) = 150

GCD(2, 150) = ( 2 x 150 ) / 150

= 2 / 150

= 2

Step3:

LCM(2, 142) = 142

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

= 2 / 142

= 2

So, Greatest Common Divisor of 992, 254, 150, 142 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 181, 619, 528, 621
• GCD of 574, 283, 110, 382
• GCD of 356, 120, 651, 551
• GCD of 521, 604, 979, 774
• GCD of 332, 195, 894, 914

Given numbers are 992, 254, 150, 142
The greatest common divisor of numbers 992, 254, 150, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 992, 254, 150, 142 is 2.

1. What is the GCD of 992, 254, 150, 142?

GCD of given numbers 992, 254, 150, 142 is 2

2. How to calculate the greatest common divisor of 992, 254, 150, 142?

We can find the highest common divisor of 992, 254, 150, 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 992, 254, 150, 142 i.e 2.

3. How can I use the GCD of 992, 254, 150, 142Calculator?

Out the numbers 992, 254, 150, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.