GCD of 961, 840, 214, 349 Calculator

Given Input numbers are 961, 840, 214, 349

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

Divisors of 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961

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 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

GCD of numbers is the greatest common divisor

So, the GCD (961, 840, 214, 349) = 1.

Given numbers are 961, 840, 214, 349

The list of prime factors of all numbers are

Prime factors of 961 are 31 x 31

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

Prime factors of 214 are 2 x 107

Prime factors of 349 are 349

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

Given numbers are 961, 840, 214, 349

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

Apply this formula for all numbers.

Step1:

LCM(961, 840) = 807240

GCD(961, 840) = ( 961 x 840 ) / 807240

= 961 / 840

= 961

Step2:

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

= 1 / 214

= 1

Step3:

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

= 1 / 349

= 1

So, Greatest Common Divisor of 961, 840, 214, 349 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 834, 643, 343, 652
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Given numbers are 961, 840, 214, 349
The greatest common divisor of numbers 961, 840, 214, 349 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 961, 840, 214, 349 is 1.

1. What is the GCD of 961, 840, 214, 349?

GCD of given numbers 961, 840, 214, 349 is 1

2. How to calculate the greatest common divisor of 961, 840, 214, 349?

We can find the highest common divisor of 961, 840, 214, 349 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 961, 840, 214, 349 i.e 1.

3. How can I use the GCD of 961, 840, 214, 349Calculator?

Out the numbers 961, 840, 214, 349 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.