GCD of 180, 742, 214, 991 Calculator

Given Input numbers are 180, 742, 214, 991

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

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 991 :

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

1, 991

GCD of numbers is the greatest common divisor

So, the GCD (180, 742, 214, 991) = 1.

Given numbers are 180, 742, 214, 991

The list of prime factors of all numbers are

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 742 are 2 x 7 x 53

Prime factors of 214 are 2 x 107

Prime factors of 991 are 991

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

Given numbers are 180, 742, 214, 991

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

Apply this formula for all numbers.

Step1:

LCM(180, 742) = 66780

GCD(180, 742) = ( 180 x 742 ) / 66780

= 180 / 742

= 180

Step2:

LCM(2, 214) = 214

GCD(2, 214) = ( 2 x 214 ) / 214

= 2 / 214

= 2

Step3:

LCM(2, 991) = 1982

GCD(2, 991) = ( 2 x 991 ) / 1982

= 2 / 991

= 2

So, Greatest Common Divisor of 180, 742, 214, 991 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 364, 176, 445, 726
• GCD of 915, 797, 703, 777
• GCD of 115, 418, 723, 864
• GCD of 318, 590, 536, 976
• GCD of 972, 854, 651, 905

Given numbers are 180, 742, 214, 991
The greatest common divisor of numbers 180, 742, 214, 991 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 742, 214, 991 is 1.

1. What is the GCD of 180, 742, 214, 991?

GCD of given numbers 180, 742, 214, 991 is 1

2. How to calculate the greatest common divisor of 180, 742, 214, 991?

We can find the highest common divisor of 180, 742, 214, 991 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 180, 742, 214, 991 i.e 1.

3. How can I use the GCD of 180, 742, 214, 991Calculator?

Out the numbers 180, 742, 214, 991 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.