GCD of 493, 174, 748, 142 Calculator

Given Input numbers are 493, 174, 748, 142

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

Divisors of 493 :

The positive integer divisors of 493 that completely divides 493 are.

1, 17, 29, 493

Divisors of 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

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 (493, 174, 748, 142) = 1.

Given numbers are 493, 174, 748, 142

The list of prime factors of all numbers are

Prime factors of 493 are 17 x 29

Prime factors of 174 are 2 x 3 x 29

Prime factors of 748 are 2 x 2 x 11 x 17

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 493, 174, 748, 142

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

Apply this formula for all numbers.

Step1:

LCM(493, 174) = 2958

GCD(493, 174) = ( 493 x 174 ) / 2958

= 493 / 174

= 493

Step2:

LCM(29, 748) = 21692

GCD(29, 748) = ( 29 x 748 ) / 21692

= 29 / 748

= 29

Step3:

LCM(1, 142) = 142

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

= 1 / 142

= 1

So, Greatest Common Divisor of 493, 174, 748, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 310, 866, 921, 986
• GCD of 815, 620, 226, 689
• GCD of 679, 422, 397, 545
• GCD of 722, 874, 517, 257
• GCD of 162, 426, 290, 365

Given numbers are 493, 174, 748, 142
The greatest common divisor of numbers 493, 174, 748, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 493, 174, 748, 142 is 1.

1. What is the GCD of 493, 174, 748, 142?

GCD of given numbers 493, 174, 748, 142 is 1

2. How to calculate the greatest common divisor of 493, 174, 748, 142?

We can find the highest common divisor of 493, 174, 748, 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 493, 174, 748, 142 i.e 1.

3. How can I use the GCD of 493, 174, 748, 142Calculator?

Out the numbers 493, 174, 748, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.