GCD of 492, 577, 739, 100 Calculator

Given Input numbers are 492, 577, 739, 100

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 577 :

The positive integer divisors of 577 that completely divides 577 are.

1, 577

Divisors of 739 :

The positive integer divisors of 739 that completely divides 739 are.

1, 739

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

GCD of numbers is the greatest common divisor

So, the GCD (492, 577, 739, 100) = 1.

Given numbers are 492, 577, 739, 100

The list of prime factors of all numbers are

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

Prime factors of 577 are 577

Prime factors of 739 are 739

Prime factors of 100 are 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, 577, 739, 100

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

Apply this formula for all numbers.

Step1:

LCM(492, 577) = 283884

GCD(492, 577) = ( 492 x 577 ) / 283884

= 492 / 577

= 492

Step2:

LCM(1, 739) = 739

GCD(1, 739) = ( 1 x 739 ) / 739

= 1 / 739

= 1

Step3:

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

= 1 / 100

= 1

So, Greatest Common Divisor of 492, 577, 739, 100 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 816, 315, 406, 146
• GCD of 240, 202, 626, 394
• GCD of 143, 704, 488, 817
• GCD of 540, 606, 313, 208
• GCD of 415, 170, 372, 531

Given numbers are 492, 577, 739, 100
The greatest common divisor of numbers 492, 577, 739, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 577, 739, 100 is 1.

1. What is the GCD of 492, 577, 739, 100?

GCD of given numbers 492, 577, 739, 100 is 1

2. How to calculate the greatest common divisor of 492, 577, 739, 100?

We can find the highest common divisor of 492, 577, 739, 100 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, 577, 739, 100 i.e 1.

3. How can I use the GCD of 492, 577, 739, 100Calculator?

Out the numbers 492, 577, 739, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.