GCD of 400, 618, 338, 902 Calculator

Given Input numbers are 400, 618, 338, 902

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

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 618 :

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

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

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 902 :

The positive integer divisors of 902 that completely divides 902 are.

1, 2, 11, 22, 41, 82, 451, 902

GCD of numbers is the greatest common divisor

So, the GCD (400, 618, 338, 902) = 2.

Given numbers are 400, 618, 338, 902

The list of prime factors of all numbers are

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 618 are 2 x 3 x 103

Prime factors of 338 are 2 x 13 x 13

Prime factors of 902 are 2 x 11 x 41

The highest common occurrence is 2¹

Therefore, GCD of 400, 618, 338, 902 is 2.

Given numbers are 400, 618, 338, 902

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

Apply this formula for all numbers.

Step1:

LCM(400, 618) = 123600

GCD(400, 618) = ( 400 x 618 ) / 123600

= 400 / 618

= 400

Step2:

LCM(2, 338) = 338

GCD(2, 338) = ( 2 x 338 ) / 338

= 2 / 338

= 2

Step3:

LCM(2, 902) = 902

GCD(2, 902) = ( 2 x 902 ) / 902

= 2 / 902

= 2

So, Greatest Common Divisor of 400, 618, 338, 902 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 848, 671, 151, 652
• GCD of 853, 770, 517, 789
• GCD of 834, 965, 807, 709
• GCD of 375, 541, 192, 603
• GCD of 173, 334, 516, 579

Given numbers are 400, 618, 338, 902
The greatest common divisor of numbers 400, 618, 338, 902 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 618, 338, 902 is 2.

1. What is the GCD of 400, 618, 338, 902?

GCD of given numbers 400, 618, 338, 902 is 2

2. How to calculate the greatest common divisor of 400, 618, 338, 902?

We can find the highest common divisor of 400, 618, 338, 902 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 400, 618, 338, 902 i.e 2.

3. How can I use the GCD of 400, 618, 338, 902Calculator?

Out the numbers 400, 618, 338, 902 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.