GCD of 800, 343, 693, 614 Calculator

Given Input numbers are 800, 343, 693, 614

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

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

Divisors of 693 :

The positive integer divisors of 693 that completely divides 693 are.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

GCD of numbers is the greatest common divisor

So, the GCD (800, 343, 693, 614) = 1.

Given numbers are 800, 343, 693, 614

The list of prime factors of all numbers are

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 343 are 7 x 7 x 7

Prime factors of 693 are 3 x 3 x 7 x 11

Prime factors of 614 are 2 x 307

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

Given numbers are 800, 343, 693, 614

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

Apply this formula for all numbers.

Step1:

LCM(800, 343) = 274400

GCD(800, 343) = ( 800 x 343 ) / 274400

= 800 / 343

= 800

Step2:

LCM(1, 693) = 693

GCD(1, 693) = ( 1 x 693 ) / 693

= 1 / 693

= 1

Step3:

LCM(1, 614) = 614

GCD(1, 614) = ( 1 x 614 ) / 614

= 1 / 614

= 1

So, Greatest Common Divisor of 800, 343, 693, 614 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 744, 762, 944, 112
• GCD of 977, 164, 807, 878
• GCD of 235, 939, 994, 986
• GCD of 127, 737, 651, 559
• GCD of 329, 913, 428, 497

Given numbers are 800, 343, 693, 614
The greatest common divisor of numbers 800, 343, 693, 614 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 343, 693, 614 is 1.

1. What is the GCD of 800, 343, 693, 614?

GCD of given numbers 800, 343, 693, 614 is 1

2. How to calculate the greatest common divisor of 800, 343, 693, 614?

We can find the highest common divisor of 800, 343, 693, 614 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 800, 343, 693, 614 i.e 1.

3. How can I use the GCD of 800, 343, 693, 614Calculator?

Out the numbers 800, 343, 693, 614 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.