GCD of 988, 217, 916, 700 Calculator

Given Input numbers are 988, 217, 916, 700

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

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 217 :

The positive integer divisors of 217 that completely divides 217 are.

1, 7, 31, 217

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

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

GCD of numbers is the greatest common divisor

So, the GCD (988, 217, 916, 700) = 1.

Given numbers are 988, 217, 916, 700

The list of prime factors of all numbers are

Prime factors of 988 are 2 x 2 x 13 x 19

Prime factors of 217 are 7 x 31

Prime factors of 916 are 2 x 2 x 229

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

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

Given numbers are 988, 217, 916, 700

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

Apply this formula for all numbers.

Step1:

LCM(988, 217) = 214396

GCD(988, 217) = ( 988 x 217 ) / 214396

= 988 / 217

= 988

Step2:

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

= 1 / 916

= 1

Step3:

LCM(1, 700) = 700

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

= 1 / 700

= 1

So, Greatest Common Divisor of 988, 217, 916, 700 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 144, 888, 287, 663
• GCD of 941, 406, 466, 274
• GCD of 646, 599, 404, 991
• GCD of 457, 403, 862, 259
• GCD of 488, 560, 647, 176

Given numbers are 988, 217, 916, 700
The greatest common divisor of numbers 988, 217, 916, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 988, 217, 916, 700 is 1.

1. What is the GCD of 988, 217, 916, 700?

GCD of given numbers 988, 217, 916, 700 is 1

2. How to calculate the greatest common divisor of 988, 217, 916, 700?

We can find the highest common divisor of 988, 217, 916, 700 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 988, 217, 916, 700 i.e 1.

3. How can I use the GCD of 988, 217, 916, 700Calculator?

Out the numbers 988, 217, 916, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.