GCD of 492, 747, 676, 299 Calculator

Given Input numbers are 492, 747, 676, 299

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 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 299 :

The positive integer divisors of 299 that completely divides 299 are.

1, 13, 23, 299

GCD of numbers is the greatest common divisor

So, the GCD (492, 747, 676, 299) = 1.

Given numbers are 492, 747, 676, 299

The list of prime factors of all numbers are

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

Prime factors of 747 are 3 x 3 x 83

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 299 are 13 x 23

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

Given numbers are 492, 747, 676, 299

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

Apply this formula for all numbers.

Step1:

LCM(492, 747) = 122508

GCD(492, 747) = ( 492 x 747 ) / 122508

= 492 / 747

= 492

Step2:

LCM(3, 676) = 2028

GCD(3, 676) = ( 3 x 676 ) / 2028

= 3 / 676

= 3

Step3:

LCM(1, 299) = 299

GCD(1, 299) = ( 1 x 299 ) / 299

= 1 / 299

= 1

So, Greatest Common Divisor of 492, 747, 676, 299 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 306, 888, 704, 192
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• GCD of 991, 623, 644, 259
• GCD of 964, 287, 433, 162
• GCD of 103, 870, 595, 787

Given numbers are 492, 747, 676, 299
The greatest common divisor of numbers 492, 747, 676, 299 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 747, 676, 299 is 1.

1. What is the GCD of 492, 747, 676, 299?

GCD of given numbers 492, 747, 676, 299 is 1

2. How to calculate the greatest common divisor of 492, 747, 676, 299?

We can find the highest common divisor of 492, 747, 676, 299 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, 747, 676, 299 i.e 1.

3. How can I use the GCD of 492, 747, 676, 299Calculator?

Out the numbers 492, 747, 676, 299 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.