GCD of 180, 298, 142, 461 Calculator

Given Input numbers are 180, 298, 142, 461

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

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 461 :

The positive integer divisors of 461 that completely divides 461 are.

1, 461

GCD of numbers is the greatest common divisor

So, the GCD (180, 298, 142, 461) = 1.

Given numbers are 180, 298, 142, 461

The list of prime factors of all numbers are

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 298 are 2 x 149

Prime factors of 142 are 2 x 71

Prime factors of 461 are 461

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

Given numbers are 180, 298, 142, 461

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

Apply this formula for all numbers.

Step1:

LCM(180, 298) = 26820

GCD(180, 298) = ( 180 x 298 ) / 26820

= 180 / 298

= 180

Step2:

LCM(2, 142) = 142

GCD(2, 142) = ( 2 x 142 ) / 142

= 2 / 142

= 2

Step3:

LCM(2, 461) = 922

GCD(2, 461) = ( 2 x 461 ) / 922

= 2 / 461

= 2

So, Greatest Common Divisor of 180, 298, 142, 461 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 455, 485, 730, 544
• GCD of 742, 192, 664, 616
• GCD of 328, 647, 830, 569
• GCD of 435, 985, 211, 185
• GCD of 566, 568, 597, 952

Given numbers are 180, 298, 142, 461
The greatest common divisor of numbers 180, 298, 142, 461 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 298, 142, 461 is 1.

1. What is the GCD of 180, 298, 142, 461?

GCD of given numbers 180, 298, 142, 461 is 1

2. How to calculate the greatest common divisor of 180, 298, 142, 461?

We can find the highest common divisor of 180, 298, 142, 461 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 180, 298, 142, 461 i.e 1.

3. How can I use the GCD of 180, 298, 142, 461Calculator?

Out the numbers 180, 298, 142, 461 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.