GCD of 234, 180, 971, 782 Calculator

Given Input numbers are 234, 180, 971, 782

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

Divisors of 234 :

The positive integer divisors of 234 that completely divides 234 are.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

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 971 :

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

1, 971

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

GCD of numbers is the greatest common divisor

So, the GCD (234, 180, 971, 782) = 1.

Given numbers are 234, 180, 971, 782

The list of prime factors of all numbers are

Prime factors of 234 are 2 x 3 x 3 x 13

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

Prime factors of 971 are 971

Prime factors of 782 are 2 x 17 x 23

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

Given numbers are 234, 180, 971, 782

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

Apply this formula for all numbers.

Step1:

LCM(234, 180) = 2340

GCD(234, 180) = ( 234 x 180 ) / 2340

= 234 / 180

= 234

Step2:

LCM(18, 971) = 17478

GCD(18, 971) = ( 18 x 971 ) / 17478

= 18 / 971

= 18

Step3:

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

= 1 / 782

= 1

So, Greatest Common Divisor of 234, 180, 971, 782 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 460, 596, 368, 967
• GCD of 995, 623, 741, 158
• GCD of 716, 814, 512, 564
• GCD of 224, 641, 640, 994
• GCD of 346, 127, 364, 934

Given numbers are 234, 180, 971, 782
The greatest common divisor of numbers 234, 180, 971, 782 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 234, 180, 971, 782 is 1.

1. What is the GCD of 234, 180, 971, 782?

GCD of given numbers 234, 180, 971, 782 is 1

2. How to calculate the greatest common divisor of 234, 180, 971, 782?

We can find the highest common divisor of 234, 180, 971, 782 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 234, 180, 971, 782 i.e 1.

3. How can I use the GCD of 234, 180, 971, 782Calculator?

Out the numbers 234, 180, 971, 782 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.