GCD of 782, 343, 188, 921 Calculator

Given Input numbers are 782, 343, 188, 921

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

Divisors of 782 :

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

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

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

Divisors of 188 :

The positive integer divisors of 188 that completely divides 188 are.

1, 2, 4, 47, 94, 188

Divisors of 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

GCD of numbers is the greatest common divisor

So, the GCD (782, 343, 188, 921) = 1.

Given numbers are 782, 343, 188, 921

The list of prime factors of all numbers are

Prime factors of 782 are 2 x 17 x 23

Prime factors of 343 are 7 x 7 x 7

Prime factors of 188 are 2 x 2 x 47

Prime factors of 921 are 3 x 307

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

Given numbers are 782, 343, 188, 921

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

Apply this formula for all numbers.

Step1:

LCM(782, 343) = 268226

GCD(782, 343) = ( 782 x 343 ) / 268226

= 782 / 343

= 782

Step2:

LCM(1, 188) = 188

GCD(1, 188) = ( 1 x 188 ) / 188

= 1 / 188

= 1

Step3:

LCM(1, 921) = 921

GCD(1, 921) = ( 1 x 921 ) / 921

= 1 / 921

= 1

So, Greatest Common Divisor of 782, 343, 188, 921 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 242, 324, 244, 820
• GCD of 941, 782, 678, 300
• GCD of 361, 243, 340, 293
• GCD of 712, 911, 123, 145
• GCD of 121, 911, 283, 876

Given numbers are 782, 343, 188, 921
The greatest common divisor of numbers 782, 343, 188, 921 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 343, 188, 921 is 1.

1. What is the GCD of 782, 343, 188, 921?

GCD of given numbers 782, 343, 188, 921 is 1

2. How to calculate the greatest common divisor of 782, 343, 188, 921?

We can find the highest common divisor of 782, 343, 188, 921 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 782, 343, 188, 921 i.e 1.

3. How can I use the GCD of 782, 343, 188, 921Calculator?

Out the numbers 782, 343, 188, 921 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.