GCD of 854, 840, 969, 231 Calculator

Given Input numbers are 854, 840, 969, 231

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

Divisors of 854 :

The positive integer divisors of 854 that completely divides 854 are.

1, 2, 7, 14, 61, 122, 427, 854

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 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

GCD of numbers is the greatest common divisor

So, the GCD (854, 840, 969, 231) = 1.

Given numbers are 854, 840, 969, 231

The list of prime factors of all numbers are

Prime factors of 854 are 2 x 7 x 61

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

Prime factors of 969 are 3 x 17 x 19

Prime factors of 231 are 3 x 7 x 11

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

Given numbers are 854, 840, 969, 231

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

Apply this formula for all numbers.

Step1:

LCM(854, 840) = 51240

GCD(854, 840) = ( 854 x 840 ) / 51240

= 854 / 840

= 854

Step2:

LCM(14, 969) = 13566

GCD(14, 969) = ( 14 x 969 ) / 13566

= 14 / 969

= 14

Step3:

LCM(1, 231) = 231

GCD(1, 231) = ( 1 x 231 ) / 231

= 1 / 231

= 1

So, Greatest Common Divisor of 854, 840, 969, 231 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 857, 468, 111, 856
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• GCD of 788, 211, 348, 794

Given numbers are 854, 840, 969, 231
The greatest common divisor of numbers 854, 840, 969, 231 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 854, 840, 969, 231 is 1.

1. What is the GCD of 854, 840, 969, 231?

GCD of given numbers 854, 840, 969, 231 is 1

2. How to calculate the greatest common divisor of 854, 840, 969, 231?

We can find the highest common divisor of 854, 840, 969, 231 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 854, 840, 969, 231 i.e 1.

3. How can I use the GCD of 854, 840, 969, 231Calculator?

Out the numbers 854, 840, 969, 231 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.