GCD of 971, 807, 109, 990 Calculator

Given Input numbers are 971, 807, 109, 990

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

Divisors of 971 :

The positive integer divisors of 971 that completely divides 971 are.

1, 971

Divisors of 807 :

The positive integer divisors of 807 that completely divides 807 are.

1, 3, 269, 807

Divisors of 109 :

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

1, 109

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

GCD of numbers is the greatest common divisor

So, the GCD (971, 807, 109, 990) = 1.

Given numbers are 971, 807, 109, 990

The list of prime factors of all numbers are

Prime factors of 971 are 971

Prime factors of 807 are 3 x 269

Prime factors of 109 are 109

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

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

Given numbers are 971, 807, 109, 990

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

Apply this formula for all numbers.

Step1:

LCM(971, 807) = 783597

GCD(971, 807) = ( 971 x 807 ) / 783597

= 971 / 807

= 971

Step2:

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

= 1 / 109

= 1

Step3:

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

= 1 / 990

= 1

So, Greatest Common Divisor of 971, 807, 109, 990 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 235, 869, 812, 190
• GCD of 565, 974, 639, 945
• GCD of 678, 333, 703, 129
• GCD of 247, 202, 883, 666
• GCD of 716, 448, 632, 489

Given numbers are 971, 807, 109, 990
The greatest common divisor of numbers 971, 807, 109, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 971, 807, 109, 990 is 1.

1. What is the GCD of 971, 807, 109, 990?

GCD of given numbers 971, 807, 109, 990 is 1

2. How to calculate the greatest common divisor of 971, 807, 109, 990?

We can find the highest common divisor of 971, 807, 109, 990 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 971, 807, 109, 990 i.e 1.

3. How can I use the GCD of 971, 807, 109, 990Calculator?

Out the numbers 971, 807, 109, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.