GCD of 988, 312, 758, 369 Calculator

Given Input numbers are 988, 312, 758, 369

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 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 758 :

The positive integer divisors of 758 that completely divides 758 are.

1, 2, 379, 758

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

GCD of numbers is the greatest common divisor

So, the GCD (988, 312, 758, 369) = 1.

Given numbers are 988, 312, 758, 369

The list of prime factors of all numbers are

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

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 758 are 2 x 379

Prime factors of 369 are 3 x 3 x 41

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

Given numbers are 988, 312, 758, 369

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

Apply this formula for all numbers.

Step1:

LCM(988, 312) = 5928

GCD(988, 312) = ( 988 x 312 ) / 5928

= 988 / 312

= 988

Step2:

LCM(52, 758) = 19708

GCD(52, 758) = ( 52 x 758 ) / 19708

= 52 / 758

= 52

Step3:

LCM(2, 369) = 738

GCD(2, 369) = ( 2 x 369 ) / 738

= 2 / 369

= 2

So, Greatest Common Divisor of 988, 312, 758, 369 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 101, 124, 285, 678
• GCD of 313, 732, 839, 806
• GCD of 275, 720, 546, 600
• GCD of 839, 949, 595, 698
• GCD of 591, 791, 947, 948

Given numbers are 988, 312, 758, 369
The greatest common divisor of numbers 988, 312, 758, 369 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 988, 312, 758, 369 is 1.

1. What is the GCD of 988, 312, 758, 369?

GCD of given numbers 988, 312, 758, 369 is 1

2. How to calculate the greatest common divisor of 988, 312, 758, 369?

We can find the highest common divisor of 988, 312, 758, 369 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, 312, 758, 369 i.e 1.

3. How can I use the GCD of 988, 312, 758, 369Calculator?

Out the numbers 988, 312, 758, 369 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.