GCD of 774, 648, 384, 153 Calculator

Given Input numbers are 774, 648, 384, 153

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

Divisors of 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

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 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 153 :

The positive integer divisors of 153 that completely divides 153 are.

1, 3, 9, 17, 51, 153

GCD of numbers is the greatest common divisor

So, the GCD (774, 648, 384, 153) = 3.

Given numbers are 774, 648, 384, 153

The list of prime factors of all numbers are

Prime factors of 774 are 2 x 3 x 3 x 43

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

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 153 are 3 x 3 x 17

The highest common occurrence is 3¹

Therefore, GCD of 774, 648, 384, 153 is 3.

Given numbers are 774, 648, 384, 153

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

Apply this formula for all numbers.

Step1:

LCM(774, 648) = 27864

GCD(774, 648) = ( 774 x 648 ) / 27864

= 774 / 648

= 774

Step2:

LCM(18, 384) = 1152

GCD(18, 384) = ( 18 x 384 ) / 1152

= 18 / 384

= 18

Step3:

LCM(6, 153) = 306

GCD(6, 153) = ( 6 x 153 ) / 306

= 6 / 153

= 6

So, Greatest Common Divisor of 774, 648, 384, 153 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 453, 917, 294, 454
• GCD of 506, 398, 719, 440
• GCD of 416, 278, 142, 436
• GCD of 266, 666, 910, 635
• GCD of 127, 655, 102, 889

Given numbers are 774, 648, 384, 153
The greatest common divisor of numbers 774, 648, 384, 153 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 774, 648, 384, 153 is 3.

1. What is the GCD of 774, 648, 384, 153?

GCD of given numbers 774, 648, 384, 153 is 3

2. How to calculate the greatest common divisor of 774, 648, 384, 153?

We can find the highest common divisor of 774, 648, 384, 153 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 774, 648, 384, 153 i.e 3.

3. How can I use the GCD of 774, 648, 384, 153Calculator?

Out the numbers 774, 648, 384, 153 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.