GCD of 542, 160, 919, 361 Calculator

Given Input numbers are 542, 160, 919, 361

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

Divisors of 542 :

The positive integer divisors of 542 that completely divides 542 are.

1, 2, 271, 542

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 919 :

The positive integer divisors of 919 that completely divides 919 are.

1, 919

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

GCD of numbers is the greatest common divisor

So, the GCD (542, 160, 919, 361) = 1.

Given numbers are 542, 160, 919, 361

The list of prime factors of all numbers are

Prime factors of 542 are 2 x 271

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 919 are 919

Prime factors of 361 are 19 x 19

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

Given numbers are 542, 160, 919, 361

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

Apply this formula for all numbers.

Step1:

LCM(542, 160) = 43360

GCD(542, 160) = ( 542 x 160 ) / 43360

= 542 / 160

= 542

Step2:

LCM(2, 919) = 1838

GCD(2, 919) = ( 2 x 919 ) / 1838

= 2 / 919

= 2

Step3:

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

= 1 / 361

= 1

So, Greatest Common Divisor of 542, 160, 919, 361 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 447, 364, 801, 988
• GCD of 252, 508, 296, 236
• GCD of 482, 140, 719, 359
• GCD of 100, 859, 464, 722
• GCD of 363, 176, 722, 724

Given numbers are 542, 160, 919, 361
The greatest common divisor of numbers 542, 160, 919, 361 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 542, 160, 919, 361 is 1.

1. What is the GCD of 542, 160, 919, 361?

GCD of given numbers 542, 160, 919, 361 is 1

2. How to calculate the greatest common divisor of 542, 160, 919, 361?

We can find the highest common divisor of 542, 160, 919, 361 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 542, 160, 919, 361 i.e 1.

3. How can I use the GCD of 542, 160, 919, 361Calculator?

Out the numbers 542, 160, 919, 361 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.