GCD of 492, 922, 697, 200 Calculator

Given Input numbers are 492, 922, 697, 200

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

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 922 :

The positive integer divisors of 922 that completely divides 922 are.

1, 2, 461, 922

Divisors of 697 :

The positive integer divisors of 697 that completely divides 697 are.

1, 17, 41, 697

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

GCD of numbers is the greatest common divisor

So, the GCD (492, 922, 697, 200) = 1.

Given numbers are 492, 922, 697, 200

The list of prime factors of all numbers are

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 922 are 2 x 461

Prime factors of 697 are 17 x 41

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

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

Given numbers are 492, 922, 697, 200

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

Apply this formula for all numbers.

Step1:

LCM(492, 922) = 226812

GCD(492, 922) = ( 492 x 922 ) / 226812

= 492 / 922

= 492

Step2:

LCM(2, 697) = 1394

GCD(2, 697) = ( 2 x 697 ) / 1394

= 2 / 697

= 2

Step3:

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

= 1 / 200

= 1

So, Greatest Common Divisor of 492, 922, 697, 200 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 697, 487, 433, 159
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Given numbers are 492, 922, 697, 200
The greatest common divisor of numbers 492, 922, 697, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 922, 697, 200 is 1.

1. What is the GCD of 492, 922, 697, 200?

GCD of given numbers 492, 922, 697, 200 is 1

2. How to calculate the greatest common divisor of 492, 922, 697, 200?

We can find the highest common divisor of 492, 922, 697, 200 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 492, 922, 697, 200 i.e 1.

3. How can I use the GCD of 492, 922, 697, 200Calculator?

Out the numbers 492, 922, 697, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.