GCD of 438, 982, 200, 120 Calculator

Given Input numbers are 438, 982, 200, 120

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

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 982 :

The positive integer divisors of 982 that completely divides 982 are.

1, 2, 491, 982

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

GCD of numbers is the greatest common divisor

So, the GCD (438, 982, 200, 120) = 2.

Given numbers are 438, 982, 200, 120

The list of prime factors of all numbers are

Prime factors of 438 are 2 x 3 x 73

Prime factors of 982 are 2 x 491

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 438, 982, 200, 120 is 2.

Given numbers are 438, 982, 200, 120

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

Apply this formula for all numbers.

Step1:

LCM(438, 982) = 215058

GCD(438, 982) = ( 438 x 982 ) / 215058

= 438 / 982

= 438

Step2:

LCM(2, 200) = 200

GCD(2, 200) = ( 2 x 200 ) / 200

= 2 / 200

= 2

Step3:

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

= 2 / 120

= 2

So, Greatest Common Divisor of 438, 982, 200, 120 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 736, 783, 894, 583
• GCD of 585, 297, 334, 861
• GCD of 717, 568, 343, 785
• GCD of 140, 918, 137, 972
• GCD of 676, 101, 582, 197

Given numbers are 438, 982, 200, 120
The greatest common divisor of numbers 438, 982, 200, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 982, 200, 120 is 2.

1. What is the GCD of 438, 982, 200, 120?

GCD of given numbers 438, 982, 200, 120 is 2

2. How to calculate the greatest common divisor of 438, 982, 200, 120?

We can find the highest common divisor of 438, 982, 200, 120 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 438, 982, 200, 120 i.e 2.

3. How can I use the GCD of 438, 982, 200, 120Calculator?

Out the numbers 438, 982, 200, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.