GCD of 171, 991, 360, 149 Calculator

Given Input numbers are 171, 991, 360, 149

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

Divisors of 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

Divisors of 991 :

The positive integer divisors of 991 that completely divides 991 are.

1, 991

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 149 :

The positive integer divisors of 149 that completely divides 149 are.

1, 149

GCD of numbers is the greatest common divisor

So, the GCD (171, 991, 360, 149) = 1.

Given numbers are 171, 991, 360, 149

The list of prime factors of all numbers are

Prime factors of 171 are 3 x 3 x 19

Prime factors of 991 are 991

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 149 are 149

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

Given numbers are 171, 991, 360, 149

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

Apply this formula for all numbers.

Step1:

LCM(171, 991) = 169461

GCD(171, 991) = ( 171 x 991 ) / 169461

= 171 / 991

= 171

Step2:

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

= 1 / 360

= 1

Step3:

LCM(1, 149) = 149

GCD(1, 149) = ( 1 x 149 ) / 149

= 1 / 149

= 1

So, Greatest Common Divisor of 171, 991, 360, 149 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 191, 110, 726, 113
• GCD of 619, 471, 938, 782
• GCD of 280, 312, 977, 633
• GCD of 771, 257, 949, 723
• GCD of 184, 771, 657, 464

Given numbers are 171, 991, 360, 149
The greatest common divisor of numbers 171, 991, 360, 149 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 171, 991, 360, 149 is 1.

1. What is the GCD of 171, 991, 360, 149?

GCD of given numbers 171, 991, 360, 149 is 1

2. How to calculate the greatest common divisor of 171, 991, 360, 149?

We can find the highest common divisor of 171, 991, 360, 149 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 171, 991, 360, 149 i.e 1.

3. How can I use the GCD of 171, 991, 360, 149Calculator?

Out the numbers 171, 991, 360, 149 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.