GCD of 648, 782, 848, 356 Calculator

Given Input numbers are 648, 782, 848, 356

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 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 848 :

The positive integer divisors of 848 that completely divides 848 are.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

GCD of numbers is the greatest common divisor

So, the GCD (648, 782, 848, 356) = 2.

Given numbers are 648, 782, 848, 356

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 782 are 2 x 17 x 23

Prime factors of 848 are 2 x 2 x 2 x 2 x 53

Prime factors of 356 are 2 x 2 x 89

The highest common occurrence is 2¹

Therefore, GCD of 648, 782, 848, 356 is 2.

Given numbers are 648, 782, 848, 356

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

Apply this formula for all numbers.

Step1:

LCM(648, 782) = 253368

GCD(648, 782) = ( 648 x 782 ) / 253368

= 648 / 782

= 648

Step2:

LCM(2, 848) = 848

GCD(2, 848) = ( 2 x 848 ) / 848

= 2 / 848

= 2

Step3:

LCM(2, 356) = 356

GCD(2, 356) = ( 2 x 356 ) / 356

= 2 / 356

= 2

So, Greatest Common Divisor of 648, 782, 848, 356 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 738, 281, 638, 381
• GCD of 704, 221, 874, 790
• GCD of 673, 757, 405, 584
• GCD of 163, 185, 958, 352
• GCD of 264, 253, 665, 810

Given numbers are 648, 782, 848, 356
The greatest common divisor of numbers 648, 782, 848, 356 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 648, 782, 848, 356 is 2.

1. What is the GCD of 648, 782, 848, 356?

GCD of given numbers 648, 782, 848, 356 is 2

2. How to calculate the greatest common divisor of 648, 782, 848, 356?

We can find the highest common divisor of 648, 782, 848, 356 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, 782, 848, 356 i.e 2.

3. How can I use the GCD of 648, 782, 848, 356Calculator?

Out the numbers 648, 782, 848, 356 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.