GCD of 492, 742, 749, 679 Calculator

Given Input numbers are 492, 742, 749, 679

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 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 679 :

The positive integer divisors of 679 that completely divides 679 are.

1, 7, 97, 679

GCD of numbers is the greatest common divisor

So, the GCD (492, 742, 749, 679) = 1.

Given numbers are 492, 742, 749, 679

The list of prime factors of all numbers are

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

Prime factors of 742 are 2 x 7 x 53

Prime factors of 749 are 7 x 107

Prime factors of 679 are 7 x 97

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

Given numbers are 492, 742, 749, 679

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

Apply this formula for all numbers.

Step1:

LCM(492, 742) = 182532

GCD(492, 742) = ( 492 x 742 ) / 182532

= 492 / 742

= 492

Step2:

LCM(2, 749) = 1498

GCD(2, 749) = ( 2 x 749 ) / 1498

= 2 / 749

= 2

Step3:

LCM(1, 679) = 679

GCD(1, 679) = ( 1 x 679 ) / 679

= 1 / 679

= 1

So, Greatest Common Divisor of 492, 742, 749, 679 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 433, 509, 638, 477
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• GCD of 917, 386, 261, 736

Given numbers are 492, 742, 749, 679
The greatest common divisor of numbers 492, 742, 749, 679 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 742, 749, 679 is 1.

1. What is the GCD of 492, 742, 749, 679?

GCD of given numbers 492, 742, 749, 679 is 1

2. How to calculate the greatest common divisor of 492, 742, 749, 679?

We can find the highest common divisor of 492, 742, 749, 679 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, 742, 749, 679 i.e 1.

3. How can I use the GCD of 492, 742, 749, 679Calculator?

Out the numbers 492, 742, 749, 679 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.