GCD of 142, 492, 689, 301 Calculator

Given Input numbers are 142, 492, 689, 301

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 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 301 :

The positive integer divisors of 301 that completely divides 301 are.

1, 7, 43, 301

GCD of numbers is the greatest common divisor

So, the GCD (142, 492, 689, 301) = 1.

Given numbers are 142, 492, 689, 301

The list of prime factors of all numbers are

Prime factors of 142 are 2 x 71

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 689 are 13 x 53

Prime factors of 301 are 7 x 43

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

Given numbers are 142, 492, 689, 301

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

Apply this formula for all numbers.

Step1:

LCM(142, 492) = 34932

GCD(142, 492) = ( 142 x 492 ) / 34932

= 142 / 492

= 142

Step2:

LCM(2, 689) = 1378

GCD(2, 689) = ( 2 x 689 ) / 1378

= 2 / 689

= 2

Step3:

LCM(1, 301) = 301

GCD(1, 301) = ( 1 x 301 ) / 301

= 1 / 301

= 1

So, Greatest Common Divisor of 142, 492, 689, 301 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 846, 842, 197, 221
• GCD of 719, 863, 221, 948
• GCD of 451, 911, 690, 334
• GCD of 876, 150, 384, 515
• GCD of 256, 404, 290, 728

Given numbers are 142, 492, 689, 301
The greatest common divisor of numbers 142, 492, 689, 301 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 142, 492, 689, 301 is 1.

1. What is the GCD of 142, 492, 689, 301?

GCD of given numbers 142, 492, 689, 301 is 1

2. How to calculate the greatest common divisor of 142, 492, 689, 301?

We can find the highest common divisor of 142, 492, 689, 301 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, 492, 689, 301 i.e 1.

3. How can I use the GCD of 142, 492, 689, 301Calculator?

Out the numbers 142, 492, 689, 301 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.