GCD of 142, 850, 900, 724 Calculator

Given Input numbers are 142, 850, 900, 724

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

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 850 :

The positive integer divisors of 850 that completely divides 850 are.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

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 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

GCD of numbers is the greatest common divisor

So, the GCD (142, 850, 900, 724) = 2.

Given numbers are 142, 850, 900, 724

The list of prime factors of all numbers are

Prime factors of 142 are 2 x 71

Prime factors of 850 are 2 x 5 x 5 x 17

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

Prime factors of 724 are 2 x 2 x 181

The highest common occurrence is 2¹

Therefore, GCD of 142, 850, 900, 724 is 2.

Given numbers are 142, 850, 900, 724

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

Apply this formula for all numbers.

Step1:

LCM(142, 850) = 60350

GCD(142, 850) = ( 142 x 850 ) / 60350

= 142 / 850

= 142

Step2:

LCM(2, 900) = 900

GCD(2, 900) = ( 2 x 900 ) / 900

= 2 / 900

= 2

Step3:

LCM(2, 724) = 724

GCD(2, 724) = ( 2 x 724 ) / 724

= 2 / 724

= 2

So, Greatest Common Divisor of 142, 850, 900, 724 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 947, 208, 111, 367
• GCD of 423, 990, 439, 860
• GCD of 671, 924, 870, 694
• GCD of 541, 322, 818, 521
• GCD of 215, 111, 233, 443

Given numbers are 142, 850, 900, 724
The greatest common divisor of numbers 142, 850, 900, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 142, 850, 900, 724 is 2.

1. What is the GCD of 142, 850, 900, 724?

GCD of given numbers 142, 850, 900, 724 is 2

2. How to calculate the greatest common divisor of 142, 850, 900, 724?

We can find the highest common divisor of 142, 850, 900, 724 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 142, 850, 900, 724 i.e 2.

3. How can I use the GCD of 142, 850, 900, 724Calculator?

Out the numbers 142, 850, 900, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.