GCD of 394, 618, 144, 700 Calculator

Given Input numbers are 394, 618, 144, 700

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

Divisors of 394 :

The positive integer divisors of 394 that completely divides 394 are.

1, 2, 197, 394

Divisors of 618 :

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

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

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 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

GCD of numbers is the greatest common divisor

So, the GCD (394, 618, 144, 700) = 2.

Given numbers are 394, 618, 144, 700

The list of prime factors of all numbers are

Prime factors of 394 are 2 x 197

Prime factors of 618 are 2 x 3 x 103

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

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 394, 618, 144, 700 is 2.

Given numbers are 394, 618, 144, 700

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

Apply this formula for all numbers.

Step1:

LCM(394, 618) = 121746

GCD(394, 618) = ( 394 x 618 ) / 121746

= 394 / 618

= 394

Step2:

LCM(2, 144) = 144

GCD(2, 144) = ( 2 x 144 ) / 144

= 2 / 144

= 2

Step3:

LCM(2, 700) = 700

GCD(2, 700) = ( 2 x 700 ) / 700

= 2 / 700

= 2

So, Greatest Common Divisor of 394, 618, 144, 700 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 166, 194, 643, 371
• GCD of 911, 966, 769, 175
• GCD of 149, 406, 683, 824
• GCD of 612, 717, 986, 525
• GCD of 624, 973, 717, 128

Given numbers are 394, 618, 144, 700
The greatest common divisor of numbers 394, 618, 144, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 394, 618, 144, 700 is 2.

1. What is the GCD of 394, 618, 144, 700?

GCD of given numbers 394, 618, 144, 700 is 2

2. How to calculate the greatest common divisor of 394, 618, 144, 700?

We can find the highest common divisor of 394, 618, 144, 700 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 394, 618, 144, 700 i.e 2.

3. How can I use the GCD of 394, 618, 144, 700Calculator?

Out the numbers 394, 618, 144, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.