GCD of 142, 304, 724, 714 Calculator

Given Input numbers are 142, 304, 724, 714

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 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 724 :

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

1, 2, 4, 181, 362, 724

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

GCD of numbers is the greatest common divisor

So, the GCD (142, 304, 724, 714) = 2.

Given numbers are 142, 304, 724, 714

The list of prime factors of all numbers are

Prime factors of 142 are 2 x 71

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

Prime factors of 724 are 2 x 2 x 181

Prime factors of 714 are 2 x 3 x 7 x 17

The highest common occurrence is 2¹

Therefore, GCD of 142, 304, 724, 714 is 2.

Given numbers are 142, 304, 724, 714

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

Apply this formula for all numbers.

Step1:

LCM(142, 304) = 21584

GCD(142, 304) = ( 142 x 304 ) / 21584

= 142 / 304

= 142

Step2:

LCM(2, 724) = 724

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

= 2 / 724

= 2

Step3:

LCM(2, 714) = 714

GCD(2, 714) = ( 2 x 714 ) / 714

= 2 / 714

= 2

So, Greatest Common Divisor of 142, 304, 724, 714 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 447, 714, 201, 269
• GCD of 876, 520, 937, 309
• GCD of 256, 831, 510, 205
• GCD of 998, 786, 869, 722
• GCD of 241, 667, 753, 939

Given numbers are 142, 304, 724, 714
The greatest common divisor of numbers 142, 304, 724, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 142, 304, 724, 714 is 2.

1. What is the GCD of 142, 304, 724, 714?

GCD of given numbers 142, 304, 724, 714 is 2

2. How to calculate the greatest common divisor of 142, 304, 724, 714?

We can find the highest common divisor of 142, 304, 724, 714 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, 304, 724, 714 i.e 2.

3. How can I use the GCD of 142, 304, 724, 714Calculator?

Out the numbers 142, 304, 724, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.