GCD of 648, 784, 634, 474 Calculator

Given Input numbers are 648, 784, 634, 474

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 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 634 :

The positive integer divisors of 634 that completely divides 634 are.

1, 2, 317, 634

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

GCD of numbers is the greatest common divisor

So, the GCD (648, 784, 634, 474) = 2.

Given numbers are 648, 784, 634, 474

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 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 634 are 2 x 317

Prime factors of 474 are 2 x 3 x 79

The highest common occurrence is 2¹

Therefore, GCD of 648, 784, 634, 474 is 2.

Given numbers are 648, 784, 634, 474

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

Apply this formula for all numbers.

Step1:

LCM(648, 784) = 63504

GCD(648, 784) = ( 648 x 784 ) / 63504

= 648 / 784

= 648

Step2:

LCM(8, 634) = 2536

GCD(8, 634) = ( 8 x 634 ) / 2536

= 8 / 634

= 8

Step3:

LCM(2, 474) = 474

GCD(2, 474) = ( 2 x 474 ) / 474

= 2 / 474

= 2

So, Greatest Common Divisor of 648, 784, 634, 474 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 561, 753, 974, 952
• GCD of 781, 116, 643, 831
• GCD of 960, 944, 510, 179
• GCD of 503, 854, 677, 174
• GCD of 530, 969, 325, 324

Given numbers are 648, 784, 634, 474
The greatest common divisor of numbers 648, 784, 634, 474 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 648, 784, 634, 474 is 2.

1. What is the GCD of 648, 784, 634, 474?

GCD of given numbers 648, 784, 634, 474 is 2

2. How to calculate the greatest common divisor of 648, 784, 634, 474?

We can find the highest common divisor of 648, 784, 634, 474 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, 784, 634, 474 i.e 2.

3. How can I use the GCD of 648, 784, 634, 474Calculator?

Out the numbers 648, 784, 634, 474 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.