GCD of 840, 214, 345, 743 Calculator

Given Input numbers are 840, 214, 345, 743

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 214 :

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

1, 2, 107, 214

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 743 :

The positive integer divisors of 743 that completely divides 743 are.

1, 743

GCD of numbers is the greatest common divisor

So, the GCD (840, 214, 345, 743) = 1.

Given numbers are 840, 214, 345, 743

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 214 are 2 x 107

Prime factors of 345 are 3 x 5 x 23

Prime factors of 743 are 743

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

Given numbers are 840, 214, 345, 743

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

Apply this formula for all numbers.

Step1:

LCM(840, 214) = 89880

GCD(840, 214) = ( 840 x 214 ) / 89880

= 840 / 214

= 840

Step2:

LCM(2, 345) = 690

GCD(2, 345) = ( 2 x 345 ) / 690

= 2 / 345

= 2

Step3:

LCM(1, 743) = 743

GCD(1, 743) = ( 1 x 743 ) / 743

= 1 / 743

= 1

So, Greatest Common Divisor of 840, 214, 345, 743 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 508, 768, 651, 639
• GCD of 717, 479, 164, 654
• GCD of 518, 564, 452, 975
• GCD of 486, 456, 803, 908
• GCD of 737, 133, 964, 826

Given numbers are 840, 214, 345, 743
The greatest common divisor of numbers 840, 214, 345, 743 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 214, 345, 743 is 1.

1. What is the GCD of 840, 214, 345, 743?

GCD of given numbers 840, 214, 345, 743 is 1

2. How to calculate the greatest common divisor of 840, 214, 345, 743?

We can find the highest common divisor of 840, 214, 345, 743 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, 214, 345, 743 i.e 1.

3. How can I use the GCD of 840, 214, 345, 743Calculator?

Out the numbers 840, 214, 345, 743 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.