GCD of 104, 353, 700, 698 Calculator

Given Input numbers are 104, 353, 700, 698

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

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

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

Divisors of 353 :

The positive integer divisors of 353 that completely divides 353 are.

1, 353

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 698 :

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

1, 2, 349, 698

GCD of numbers is the greatest common divisor

So, the GCD (104, 353, 700, 698) = 1.

Given numbers are 104, 353, 700, 698

The list of prime factors of all numbers are

Prime factors of 104 are 2 x 2 x 2 x 13

Prime factors of 353 are 353

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 698 are 2 x 349

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

Given numbers are 104, 353, 700, 698

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

Apply this formula for all numbers.

Step1:

LCM(104, 353) = 36712

GCD(104, 353) = ( 104 x 353 ) / 36712

= 104 / 353

= 104

Step2:

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

= 1 / 700

= 1

Step3:

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

= 1 / 698

= 1

So, Greatest Common Divisor of 104, 353, 700, 698 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 634, 440, 900, 914
• GCD of 498, 882, 534, 247
• GCD of 295, 980, 960, 559
• GCD of 652, 949, 403, 620
• GCD of 103, 404, 505, 593

Given numbers are 104, 353, 700, 698
The greatest common divisor of numbers 104, 353, 700, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 104, 353, 700, 698 is 1.

1. What is the GCD of 104, 353, 700, 698?

GCD of given numbers 104, 353, 700, 698 is 1

2. How to calculate the greatest common divisor of 104, 353, 700, 698?

We can find the highest common divisor of 104, 353, 700, 698 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 104, 353, 700, 698 i.e 1.

3. How can I use the GCD of 104, 353, 700, 698Calculator?

Out the numbers 104, 353, 700, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.