GCD of 386, 140, 224 Calculator

Given Input numbers are 386, 140, 224

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

Divisors of 386 :

The positive integer divisors of 386 that completely divides 386 are.

1, 2, 193, 386

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 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

GCD of numbers is the greatest common divisor

So, the GCD (386, 140, 224) = 2.

Given numbers are 386, 140, 224

The list of prime factors of all numbers are

Prime factors of 386 are 2 x 193

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

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

The highest common occurrence is 2¹

Therefore, GCD of 386, 140, 224 is 2.

Given numbers are 386, 140, 224

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

Apply this formula for all numbers.

Step1:

LCM(386, 140) = 27020

GCD(386, 140) = ( 386 x 140 ) / 27020

= 386 / 140

= 386

Step2:

LCM(2, 224) = 224

GCD(2, 224) = ( 2 x 224 ) / 224

= 2 / 224

= 2

So, Greatest Common Divisor of 386, 140, 224 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 734, 989, 814
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Given numbers are 386, 140, 224
The greatest common divisor of numbers 386, 140, 224 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 386, 140, 224 is 2.

1. What is the GCD of 386, 140, 224?

GCD of given numbers 386, 140, 224 is 2

2. How to calculate the greatest common divisor of 386, 140, 224?

We can find the highest common divisor of 386, 140, 224 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 386, 140, 224 i.e 2.

3. How can I use the GCD of 386, 140, 224Calculator?

Out the numbers 386, 140, 224 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.