GCD of 849, 314, 989, 996 Calculator

Given Input numbers are 849, 314, 989, 996

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

Divisors of 849 :

The positive integer divisors of 849 that completely divides 849 are.

1, 3, 283, 849

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 989 :

The positive integer divisors of 989 that completely divides 989 are.

1, 23, 43, 989

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

GCD of numbers is the greatest common divisor

So, the GCD (849, 314, 989, 996) = 1.

Given numbers are 849, 314, 989, 996

The list of prime factors of all numbers are

Prime factors of 849 are 3 x 283

Prime factors of 314 are 2 x 157

Prime factors of 989 are 23 x 43

Prime factors of 996 are 2 x 2 x 3 x 83

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

Given numbers are 849, 314, 989, 996

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

Apply this formula for all numbers.

Step1:

LCM(849, 314) = 266586

GCD(849, 314) = ( 849 x 314 ) / 266586

= 849 / 314

= 849

Step2:

LCM(1, 989) = 989

GCD(1, 989) = ( 1 x 989 ) / 989

= 1 / 989

= 1

Step3:

LCM(1, 996) = 996

GCD(1, 996) = ( 1 x 996 ) / 996

= 1 / 996

= 1

So, Greatest Common Divisor of 849, 314, 989, 996 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 215, 490, 670, 683
• GCD of 390, 651, 520, 195
• GCD of 666, 326, 828, 796
• GCD of 250, 523, 133, 791
• GCD of 347, 916, 578, 656

Given numbers are 849, 314, 989, 996
The greatest common divisor of numbers 849, 314, 989, 996 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 849, 314, 989, 996 is 1.

1. What is the GCD of 849, 314, 989, 996?

GCD of given numbers 849, 314, 989, 996 is 1

2. How to calculate the greatest common divisor of 849, 314, 989, 996?

We can find the highest common divisor of 849, 314, 989, 996 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 849, 314, 989, 996 i.e 1.

3. How can I use the GCD of 849, 314, 989, 996Calculator?

Out the numbers 849, 314, 989, 996 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.