GCD of 438, 682, 140, 416 Calculator

Given Input numbers are 438, 682, 140, 416

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 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 416 :

The positive integer divisors of 416 that completely divides 416 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

GCD of numbers is the greatest common divisor

So, the GCD (438, 682, 140, 416) = 2.

Given numbers are 438, 682, 140, 416

The list of prime factors of all numbers are

Prime factors of 438 are 2 x 3 x 73

Prime factors of 682 are 2 x 11 x 31

Prime factors of 140 are 2 x 2 x 5 x 7

Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13

The highest common occurrence is 2¹

Therefore, GCD of 438, 682, 140, 416 is 2.

Given numbers are 438, 682, 140, 416

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

Apply this formula for all numbers.

Step1:

LCM(438, 682) = 149358

GCD(438, 682) = ( 438 x 682 ) / 149358

= 438 / 682

= 438

Step2:

LCM(2, 140) = 140

GCD(2, 140) = ( 2 x 140 ) / 140

= 2 / 140

= 2

Step3:

LCM(2, 416) = 416

GCD(2, 416) = ( 2 x 416 ) / 416

= 2 / 416

= 2

So, Greatest Common Divisor of 438, 682, 140, 416 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 236, 562, 700, 660
• GCD of 830, 327, 125, 419
• GCD of 576, 818, 103, 490
• GCD of 390, 113, 364, 582
• GCD of 627, 251, 954, 245

Given numbers are 438, 682, 140, 416
The greatest common divisor of numbers 438, 682, 140, 416 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 682, 140, 416 is 2.

1. What is the GCD of 438, 682, 140, 416?

GCD of given numbers 438, 682, 140, 416 is 2

2. How to calculate the greatest common divisor of 438, 682, 140, 416?

We can find the highest common divisor of 438, 682, 140, 416 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, 682, 140, 416 i.e 2.

3. How can I use the GCD of 438, 682, 140, 416Calculator?

Out the numbers 438, 682, 140, 416 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.