GCD of 693, 208, 896, 343 Calculator

Given Input numbers are 693, 208, 896, 343

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

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 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 343 :

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

1, 7, 49, 343

GCD of numbers is the greatest common divisor

So, the GCD (693, 208, 896, 343) = 1.

Given numbers are 693, 208, 896, 343

The list of prime factors of all numbers are

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

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 343 are 7 x 7 x 7

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

Given numbers are 693, 208, 896, 343

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

Apply this formula for all numbers.

Step1:

LCM(693, 208) = 144144

GCD(693, 208) = ( 693 x 208 ) / 144144

= 693 / 208

= 693

Step2:

LCM(1, 896) = 896

GCD(1, 896) = ( 1 x 896 ) / 896

= 1 / 896

= 1

Step3:

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

= 1 / 343

= 1

So, Greatest Common Divisor of 693, 208, 896, 343 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 889, 229, 507, 255
• GCD of 979, 144, 340, 263
• GCD of 138, 874, 213, 186
• GCD of 972, 861, 979, 144
• GCD of 320, 244, 363, 152

Given numbers are 693, 208, 896, 343
The greatest common divisor of numbers 693, 208, 896, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 693, 208, 896, 343 is 1.

1. What is the GCD of 693, 208, 896, 343?

GCD of given numbers 693, 208, 896, 343 is 1

2. How to calculate the greatest common divisor of 693, 208, 896, 343?

We can find the highest common divisor of 693, 208, 896, 343 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 693, 208, 896, 343 i.e 1.

3. How can I use the GCD of 693, 208, 896, 343Calculator?

Out the numbers 693, 208, 896, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.