GCD of 698, 644, 349, 821 Calculator

Given Input numbers are 698, 644, 349, 821

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

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

Divisors of 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 349 :

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

1, 349

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

GCD of numbers is the greatest common divisor

So, the GCD (698, 644, 349, 821) = 1.

Given numbers are 698, 644, 349, 821

The list of prime factors of all numbers are

Prime factors of 698 are 2 x 349

Prime factors of 644 are 2 x 2 x 7 x 23

Prime factors of 349 are 349

Prime factors of 821 are 821

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

Given numbers are 698, 644, 349, 821

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

Apply this formula for all numbers.

Step1:

LCM(698, 644) = 224756

GCD(698, 644) = ( 698 x 644 ) / 224756

= 698 / 644

= 698

Step2:

LCM(2, 349) = 698

GCD(2, 349) = ( 2 x 349 ) / 698

= 2 / 349

= 2

Step3:

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

= 1 / 821

= 1

So, Greatest Common Divisor of 698, 644, 349, 821 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 784, 944, 703, 490
• GCD of 381, 524, 981, 804
• GCD of 786, 905, 507, 879
• GCD of 391, 551, 433, 322
• GCD of 391, 962, 555, 677

Given numbers are 698, 644, 349, 821
The greatest common divisor of numbers 698, 644, 349, 821 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 698, 644, 349, 821 is 1.

1. What is the GCD of 698, 644, 349, 821?

GCD of given numbers 698, 644, 349, 821 is 1

2. How to calculate the greatest common divisor of 698, 644, 349, 821?

We can find the highest common divisor of 698, 644, 349, 821 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 698, 644, 349, 821 i.e 1.

3. How can I use the GCD of 698, 644, 349, 821Calculator?

Out the numbers 698, 644, 349, 821 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.