GCD of 840, 301, 864, 348 Calculator

Given Input numbers are 840, 301, 864, 348

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 301 :

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

1, 7, 43, 301

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

GCD of numbers is the greatest common divisor

So, the GCD (840, 301, 864, 348) = 1.

Given numbers are 840, 301, 864, 348

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 301 are 7 x 43

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 348 are 2 x 2 x 3 x 29

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

Given numbers are 840, 301, 864, 348

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

Apply this formula for all numbers.

Step1:

LCM(840, 301) = 36120

GCD(840, 301) = ( 840 x 301 ) / 36120

= 840 / 301

= 840

Step2:

LCM(7, 864) = 6048

GCD(7, 864) = ( 7 x 864 ) / 6048

= 7 / 864

= 7

Step3:

LCM(1, 348) = 348

GCD(1, 348) = ( 1 x 348 ) / 348

= 1 / 348

= 1

So, Greatest Common Divisor of 840, 301, 864, 348 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 319, 924, 300, 122
• GCD of 476, 118, 173, 317
• GCD of 878, 276, 836, 363
• GCD of 310, 484, 911, 386
• GCD of 285, 172, 609, 797

Given numbers are 840, 301, 864, 348
The greatest common divisor of numbers 840, 301, 864, 348 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 301, 864, 348 is 1.

1. What is the GCD of 840, 301, 864, 348?

GCD of given numbers 840, 301, 864, 348 is 1

2. How to calculate the greatest common divisor of 840, 301, 864, 348?

We can find the highest common divisor of 840, 301, 864, 348 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, 301, 864, 348 i.e 1.

3. How can I use the GCD of 840, 301, 864, 348Calculator?

Out the numbers 840, 301, 864, 348 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.