GCD of 442, 760, 600, 142 Calculator

Given Input numbers are 442, 760, 600, 142

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

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

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 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 (442, 760, 600, 142) = 2.

Given numbers are 442, 760, 600, 142

The list of prime factors of all numbers are

Prime factors of 442 are 2 x 13 x 17

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

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

Prime factors of 142 are 2 x 71

The highest common occurrence is 2¹

Therefore, GCD of 442, 760, 600, 142 is 2.

Given numbers are 442, 760, 600, 142

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

Apply this formula for all numbers.

Step1:

LCM(442, 760) = 167960

GCD(442, 760) = ( 442 x 760 ) / 167960

= 442 / 760

= 442

Step2:

LCM(2, 600) = 600

GCD(2, 600) = ( 2 x 600 ) / 600

= 2 / 600

= 2

Step3:

LCM(2, 142) = 142

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

= 2 / 142

= 2

So, Greatest Common Divisor of 442, 760, 600, 142 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 486, 440, 761, 410
• GCD of 533, 929, 365, 269
• GCD of 932, 524, 675, 381
• GCD of 943, 611, 516, 269
• GCD of 428, 495, 355, 871

Given numbers are 442, 760, 600, 142
The greatest common divisor of numbers 442, 760, 600, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 442, 760, 600, 142 is 2.

1. What is the GCD of 442, 760, 600, 142?

GCD of given numbers 442, 760, 600, 142 is 2

2. How to calculate the greatest common divisor of 442, 760, 600, 142?

We can find the highest common divisor of 442, 760, 600, 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 442, 760, 600, 142 i.e 2.

3. How can I use the GCD of 442, 760, 600, 142Calculator?

Out the numbers 442, 760, 600, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.