GCD of 840, 313, 340, 264 Calculator

Given Input numbers are 840, 313, 340, 264

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 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

GCD of numbers is the greatest common divisor

So, the GCD (840, 313, 340, 264) = 1.

Given numbers are 840, 313, 340, 264

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 313 are 313

Prime factors of 340 are 2 x 2 x 5 x 17

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

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

Given numbers are 840, 313, 340, 264

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

Apply this formula for all numbers.

Step1:

LCM(840, 313) = 262920

GCD(840, 313) = ( 840 x 313 ) / 262920

= 840 / 313

= 840

Step2:

LCM(1, 340) = 340

GCD(1, 340) = ( 1 x 340 ) / 340

= 1 / 340

= 1

Step3:

LCM(1, 264) = 264

GCD(1, 264) = ( 1 x 264 ) / 264

= 1 / 264

= 1

So, Greatest Common Divisor of 840, 313, 340, 264 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 998, 436, 601, 745
• GCD of 922, 182, 204, 674
• GCD of 332, 803, 271, 598
• GCD of 101, 526, 598, 926
• GCD of 399, 688, 743, 556

Given numbers are 840, 313, 340, 264
The greatest common divisor of numbers 840, 313, 340, 264 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 313, 340, 264 is 1.

1. What is the GCD of 840, 313, 340, 264?

GCD of given numbers 840, 313, 340, 264 is 1

2. How to calculate the greatest common divisor of 840, 313, 340, 264?

We can find the highest common divisor of 840, 313, 340, 264 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, 313, 340, 264 i.e 1.

3. How can I use the GCD of 840, 313, 340, 264Calculator?

Out the numbers 840, 313, 340, 264 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.