GCD of 144, 354, 770, 618 Calculator

Given Input numbers are 144, 354, 770, 618

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

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 770 :

The positive integer divisors of 770 that completely divides 770 are.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 618 :

The positive integer divisors of 618 that completely divides 618 are.

1, 2, 3, 6, 103, 206, 309, 618

GCD of numbers is the greatest common divisor

So, the GCD (144, 354, 770, 618) = 2.

Given numbers are 144, 354, 770, 618

The list of prime factors of all numbers are

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 354 are 2 x 3 x 59

Prime factors of 770 are 2 x 5 x 7 x 11

Prime factors of 618 are 2 x 3 x 103

The highest common occurrence is 2¹

Therefore, GCD of 144, 354, 770, 618 is 2.

Given numbers are 144, 354, 770, 618

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

Apply this formula for all numbers.

Step1:

LCM(144, 354) = 8496

GCD(144, 354) = ( 144 x 354 ) / 8496

= 144 / 354

= 144

Step2:

LCM(6, 770) = 2310

GCD(6, 770) = ( 6 x 770 ) / 2310

= 6 / 770

= 6

Step3:

LCM(2, 618) = 618

GCD(2, 618) = ( 2 x 618 ) / 618

= 2 / 618

= 2

So, Greatest Common Divisor of 144, 354, 770, 618 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 288, 689, 129, 587
• GCD of 711, 983, 592, 187
• GCD of 972, 390, 705, 435
• GCD of 666, 503, 676, 575
• GCD of 655, 388, 956, 393

Given numbers are 144, 354, 770, 618
The greatest common divisor of numbers 144, 354, 770, 618 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 354, 770, 618 is 2.

1. What is the GCD of 144, 354, 770, 618?

GCD of given numbers 144, 354, 770, 618 is 2

2. How to calculate the greatest common divisor of 144, 354, 770, 618?

We can find the highest common divisor of 144, 354, 770, 618 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 144, 354, 770, 618 i.e 2.

3. How can I use the GCD of 144, 354, 770, 618Calculator?

Out the numbers 144, 354, 770, 618 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.