GCD of 363, 976, 698, 994 Calculator

Given Input numbers are 363, 976, 698, 994

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

Divisors of 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

Divisors of 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 698 :

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

1, 2, 349, 698

Divisors of 994 :

The positive integer divisors of 994 that completely divides 994 are.

1, 2, 7, 14, 71, 142, 497, 994

GCD of numbers is the greatest common divisor

So, the GCD (363, 976, 698, 994) = 1.

Given numbers are 363, 976, 698, 994

The list of prime factors of all numbers are

Prime factors of 363 are 3 x 11 x 11

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

Prime factors of 698 are 2 x 349

Prime factors of 994 are 2 x 7 x 71

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

Given numbers are 363, 976, 698, 994

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

Apply this formula for all numbers.

Step1:

LCM(363, 976) = 354288

GCD(363, 976) = ( 363 x 976 ) / 354288

= 363 / 976

= 363

Step2:

LCM(1, 698) = 698

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

= 1 / 698

= 1

Step3:

LCM(1, 994) = 994

GCD(1, 994) = ( 1 x 994 ) / 994

= 1 / 994

= 1

So, Greatest Common Divisor of 363, 976, 698, 994 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 241, 588, 782, 325
• GCD of 901, 877, 517, 899
• GCD of 802, 383, 172, 237
• GCD of 982, 669, 699, 935
• GCD of 241, 778, 605, 146

Given numbers are 363, 976, 698, 994
The greatest common divisor of numbers 363, 976, 698, 994 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 363, 976, 698, 994 is 1.

1. What is the GCD of 363, 976, 698, 994?

GCD of given numbers 363, 976, 698, 994 is 1

2. How to calculate the greatest common divisor of 363, 976, 698, 994?

We can find the highest common divisor of 363, 976, 698, 994 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 363, 976, 698, 994 i.e 1.

3. How can I use the GCD of 363, 976, 698, 994Calculator?

Out the numbers 363, 976, 698, 994 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.