GCD of 840, 380, 361, 282 Calculator

Given Input numbers are 840, 380, 361, 282

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

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 361 :

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

1, 19, 361

Divisors of 282 :

The positive integer divisors of 282 that completely divides 282 are.

1, 2, 3, 6, 47, 94, 141, 282

GCD of numbers is the greatest common divisor

So, the GCD (840, 380, 361, 282) = 1.

Given numbers are 840, 380, 361, 282

The list of prime factors of all numbers are

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 361 are 19 x 19

Prime factors of 282 are 2 x 3 x 47

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

Given numbers are 840, 380, 361, 282

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

Apply this formula for all numbers.

Step1:

LCM(840, 380) = 15960

GCD(840, 380) = ( 840 x 380 ) / 15960

= 840 / 380

= 840

Step2:

LCM(20, 361) = 7220

GCD(20, 361) = ( 20 x 361 ) / 7220

= 20 / 361

= 20

Step3:

LCM(1, 282) = 282

GCD(1, 282) = ( 1 x 282 ) / 282

= 1 / 282

= 1

So, Greatest Common Divisor of 840, 380, 361, 282 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 625, 755, 278, 645
• GCD of 415, 239, 146, 516
• GCD of 417, 354, 205, 885
• GCD of 598, 382, 648, 917
• GCD of 228, 674, 765, 199

Given numbers are 840, 380, 361, 282
The greatest common divisor of numbers 840, 380, 361, 282 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 380, 361, 282 is 1.

1. What is the GCD of 840, 380, 361, 282?

GCD of given numbers 840, 380, 361, 282 is 1

2. How to calculate the greatest common divisor of 840, 380, 361, 282?

We can find the highest common divisor of 840, 380, 361, 282 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 840, 380, 361, 282 i.e 1.

3. How can I use the GCD of 840, 380, 361, 282Calculator?

Out the numbers 840, 380, 361, 282 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.