GCD of 992, 225, 713, 142 Calculator

Given Input numbers are 992, 225, 713, 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 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 713 :

The positive integer divisors of 713 that completely divides 713 are.

1, 23, 31, 713

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, 225, 713, 142) = 1.

Given numbers are 992, 225, 713, 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 225 are 3 x 3 x 5 x 5

Prime factors of 713 are 23 x 31

Prime factors of 142 are 2 x 71

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 992, 225, 713, 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, 225) = 223200

GCD(992, 225) = ( 992 x 225 ) / 223200

= 992 / 225

= 992

Step2:

LCM(1, 713) = 713

GCD(1, 713) = ( 1 x 713 ) / 713

= 1 / 713

= 1

Step3:

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

= 1 / 142

= 1

So, Greatest Common Divisor of 992, 225, 713, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 310, 929, 332, 737
• GCD of 464, 874, 629, 282
• GCD of 718, 131, 442, 735
• GCD of 961, 109, 225, 113
• GCD of 131, 593, 532, 415

Given numbers are 992, 225, 713, 142
The greatest common divisor of numbers 992, 225, 713, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 992, 225, 713, 142 is 1.

1. What is the GCD of 992, 225, 713, 142?

GCD of given numbers 992, 225, 713, 142 is 1

2. How to calculate the greatest common divisor of 992, 225, 713, 142?

We can find the highest common divisor of 992, 225, 713, 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, 225, 713, 142 i.e 1.

3. How can I use the GCD of 992, 225, 713, 142Calculator?

Out the numbers 992, 225, 713, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.