GCD of 648, 764, 498, 930 Calculator

Given Input numbers are 648, 764, 498, 930

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

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 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 930 :

The positive integer divisors of 930 that completely divides 930 are.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

GCD of numbers is the greatest common divisor

So, the GCD (648, 764, 498, 930) = 2.

Given numbers are 648, 764, 498, 930

The list of prime factors of all numbers are

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

Prime factors of 764 are 2 x 2 x 191

Prime factors of 498 are 2 x 3 x 83

Prime factors of 930 are 2 x 3 x 5 x 31

The highest common occurrence is 2¹

Therefore, GCD of 648, 764, 498, 930 is 2.

Given numbers are 648, 764, 498, 930

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

Apply this formula for all numbers.

Step1:

LCM(648, 764) = 123768

GCD(648, 764) = ( 648 x 764 ) / 123768

= 648 / 764

= 648

Step2:

LCM(4, 498) = 996

GCD(4, 498) = ( 4 x 498 ) / 996

= 4 / 498

= 4

Step3:

LCM(2, 930) = 930

GCD(2, 930) = ( 2 x 930 ) / 930

= 2 / 930

= 2

So, Greatest Common Divisor of 648, 764, 498, 930 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 116, 879, 925, 468
• GCD of 914, 542, 131, 986
• GCD of 565, 283, 391, 810
• GCD of 434, 363, 613, 183
• GCD of 797, 384, 662, 632

Given numbers are 648, 764, 498, 930
The greatest common divisor of numbers 648, 764, 498, 930 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 648, 764, 498, 930 is 2.

1. What is the GCD of 648, 764, 498, 930?

GCD of given numbers 648, 764, 498, 930 is 2

2. How to calculate the greatest common divisor of 648, 764, 498, 930?

We can find the highest common divisor of 648, 764, 498, 930 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 648, 764, 498, 930 i.e 2.

3. How can I use the GCD of 648, 764, 498, 930Calculator?

Out the numbers 648, 764, 498, 930 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.