GCD of 142, 724, 416, 214 Calculator

Given Input numbers are 142, 724, 416, 214

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 724 :

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

1, 2, 4, 181, 362, 724

Divisors of 416 :

The positive integer divisors of 416 that completely divides 416 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

GCD of numbers is the greatest common divisor

So, the GCD (142, 724, 416, 214) = 2.

Given numbers are 142, 724, 416, 214

The list of prime factors of all numbers are

Prime factors of 142 are 2 x 71

Prime factors of 724 are 2 x 2 x 181

Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13

Prime factors of 214 are 2 x 107

The highest common occurrence is 2¹

Therefore, GCD of 142, 724, 416, 214 is 2.

Given numbers are 142, 724, 416, 214

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

Apply this formula for all numbers.

Step1:

LCM(142, 724) = 51404

GCD(142, 724) = ( 142 x 724 ) / 51404

= 142 / 724

= 142

Step2:

LCM(2, 416) = 416

GCD(2, 416) = ( 2 x 416 ) / 416

= 2 / 416

= 2

Step3:

LCM(2, 214) = 214

GCD(2, 214) = ( 2 x 214 ) / 214

= 2 / 214

= 2

So, Greatest Common Divisor of 142, 724, 416, 214 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 466, 725, 531, 345
• GCD of 163, 776, 639, 779
• GCD of 264, 754, 420, 556
• GCD of 265, 835, 853, 166
• GCD of 589, 263, 855, 599

Given numbers are 142, 724, 416, 214
The greatest common divisor of numbers 142, 724, 416, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 142, 724, 416, 214 is 2.

1. What is the GCD of 142, 724, 416, 214?

GCD of given numbers 142, 724, 416, 214 is 2

2. How to calculate the greatest common divisor of 142, 724, 416, 214?

We can find the highest common divisor of 142, 724, 416, 214 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, 724, 416, 214 i.e 2.

3. How can I use the GCD of 142, 724, 416, 214Calculator?

Out the numbers 142, 724, 416, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.