GCD of 772, 638, 648, 998 Calculator

Given Input numbers are 772, 638, 648, 998

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

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

GCD of numbers is the greatest common divisor

So, the GCD (772, 638, 648, 998) = 2.

Given numbers are 772, 638, 648, 998

The list of prime factors of all numbers are

Prime factors of 772 are 2 x 2 x 193

Prime factors of 638 are 2 x 11 x 29

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 998 are 2 x 499

The highest common occurrence is 2¹

Therefore, GCD of 772, 638, 648, 998 is 2.

Given numbers are 772, 638, 648, 998

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

Apply this formula for all numbers.

Step1:

LCM(772, 638) = 246268

GCD(772, 638) = ( 772 x 638 ) / 246268

= 772 / 638

= 772

Step2:

LCM(2, 648) = 648

GCD(2, 648) = ( 2 x 648 ) / 648

= 2 / 648

= 2

Step3:

LCM(2, 998) = 998

GCD(2, 998) = ( 2 x 998 ) / 998

= 2 / 998

= 2

So, Greatest Common Divisor of 772, 638, 648, 998 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 615, 288, 374, 555
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Given numbers are 772, 638, 648, 998
The greatest common divisor of numbers 772, 638, 648, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 772, 638, 648, 998 is 2.

1. What is the GCD of 772, 638, 648, 998?

GCD of given numbers 772, 638, 648, 998 is 2

2. How to calculate the greatest common divisor of 772, 638, 648, 998?

We can find the highest common divisor of 772, 638, 648, 998 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 772, 638, 648, 998 i.e 2.

3. How can I use the GCD of 772, 638, 648, 998Calculator?

Out the numbers 772, 638, 648, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.