GCD of 111, 714, 738, 988 Calculator

Given Input numbers are 111, 714, 738, 988

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

Divisors of 111 :

The positive integer divisors of 111 that completely divides 111 are.

1, 3, 37, 111

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

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

GCD of numbers is the greatest common divisor

So, the GCD (111, 714, 738, 988) = 1.

Given numbers are 111, 714, 738, 988

The list of prime factors of all numbers are

Prime factors of 111 are 3 x 37

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 738 are 2 x 3 x 3 x 41

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

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

Given numbers are 111, 714, 738, 988

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

Apply this formula for all numbers.

Step1:

LCM(111, 714) = 26418

GCD(111, 714) = ( 111 x 714 ) / 26418

= 111 / 714

= 111

Step2:

LCM(3, 738) = 738

GCD(3, 738) = ( 3 x 738 ) / 738

= 3 / 738

= 3

Step3:

LCM(3, 988) = 2964

GCD(3, 988) = ( 3 x 988 ) / 2964

= 3 / 988

= 3

So, Greatest Common Divisor of 111, 714, 738, 988 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 595, 181, 400, 320
• GCD of 252, 939, 458, 805
• GCD of 949, 651, 442, 598
• GCD of 392, 318, 249, 636
• GCD of 384, 409, 620, 824

Given numbers are 111, 714, 738, 988
The greatest common divisor of numbers 111, 714, 738, 988 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 111, 714, 738, 988 is 1.

1. What is the GCD of 111, 714, 738, 988?

GCD of given numbers 111, 714, 738, 988 is 1

2. How to calculate the greatest common divisor of 111, 714, 738, 988?

We can find the highest common divisor of 111, 714, 738, 988 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 111, 714, 738, 988 i.e 1.

3. How can I use the GCD of 111, 714, 738, 988Calculator?

Out the numbers 111, 714, 738, 988 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.