GCD of 882, 712, 998, 109 Calculator

Given Input numbers are 882, 712, 998, 109

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

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

GCD of numbers is the greatest common divisor

So, the GCD (882, 712, 998, 109) = 1.

Given numbers are 882, 712, 998, 109

The list of prime factors of all numbers are

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

Prime factors of 712 are 2 x 2 x 2 x 89

Prime factors of 998 are 2 x 499

Prime factors of 109 are 109

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

Given numbers are 882, 712, 998, 109

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

Apply this formula for all numbers.

Step1:

LCM(882, 712) = 313992

GCD(882, 712) = ( 882 x 712 ) / 313992

= 882 / 712

= 882

Step2:

LCM(2, 998) = 998

GCD(2, 998) = ( 2 x 998 ) / 998

= 2 / 998

= 2

Step3:

LCM(2, 109) = 218

GCD(2, 109) = ( 2 x 109 ) / 218

= 2 / 109

= 2

So, Greatest Common Divisor of 882, 712, 998, 109 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 547, 705, 823, 902
• GCD of 309, 150, 689, 960
• GCD of 584, 840, 210, 158
• GCD of 407, 911, 402, 127
• GCD of 423, 993, 215, 415

Given numbers are 882, 712, 998, 109
The greatest common divisor of numbers 882, 712, 998, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 882, 712, 998, 109 is 1.

1. What is the GCD of 882, 712, 998, 109?

GCD of given numbers 882, 712, 998, 109 is 1

2. How to calculate the greatest common divisor of 882, 712, 998, 109?

We can find the highest common divisor of 882, 712, 998, 109 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 882, 712, 998, 109 i.e 1.

3. How can I use the GCD of 882, 712, 998, 109Calculator?

Out the numbers 882, 712, 998, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.