GCD of 492, 345, 987, 334 Calculator

Given Input numbers are 492, 345, 987, 334

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 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 334 :

The positive integer divisors of 334 that completely divides 334 are.

1, 2, 167, 334

GCD of numbers is the greatest common divisor

So, the GCD (492, 345, 987, 334) = 1.

Given numbers are 492, 345, 987, 334

The list of prime factors of all numbers are

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

Prime factors of 345 are 3 x 5 x 23

Prime factors of 987 are 3 x 7 x 47

Prime factors of 334 are 2 x 167

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

Given numbers are 492, 345, 987, 334

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

Apply this formula for all numbers.

Step1:

LCM(492, 345) = 56580

GCD(492, 345) = ( 492 x 345 ) / 56580

= 492 / 345

= 492

Step2:

LCM(3, 987) = 987

GCD(3, 987) = ( 3 x 987 ) / 987

= 3 / 987

= 3

Step3:

LCM(3, 334) = 1002

GCD(3, 334) = ( 3 x 334 ) / 1002

= 3 / 334

= 3

So, Greatest Common Divisor of 492, 345, 987, 334 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 952, 233, 749, 782
• GCD of 563, 274, 484, 416
• GCD of 478, 737, 116, 661
• GCD of 970, 699, 858, 159
• GCD of 481, 583, 416, 890

Given numbers are 492, 345, 987, 334
The greatest common divisor of numbers 492, 345, 987, 334 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 345, 987, 334 is 1.

1. What is the GCD of 492, 345, 987, 334?

GCD of given numbers 492, 345, 987, 334 is 1

2. How to calculate the greatest common divisor of 492, 345, 987, 334?

We can find the highest common divisor of 492, 345, 987, 334 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, 345, 987, 334 i.e 1.

3. How can I use the GCD of 492, 345, 987, 334Calculator?

Out the numbers 492, 345, 987, 334 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.