GCD of 340, 384, 350, 140 Calculator

Given Input numbers are 340, 384, 350, 140

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

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

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

GCD of numbers is the greatest common divisor

So, the GCD (340, 384, 350, 140) = 2.

Given numbers are 340, 384, 350, 140

The list of prime factors of all numbers are

Prime factors of 340 are 2 x 2 x 5 x 17

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 350 are 2 x 5 x 5 x 7

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

The highest common occurrence is 2¹

Therefore, GCD of 340, 384, 350, 140 is 2.

Given numbers are 340, 384, 350, 140

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

Apply this formula for all numbers.

Step1:

LCM(340, 384) = 32640

GCD(340, 384) = ( 340 x 384 ) / 32640

= 340 / 384

= 340

Step2:

LCM(4, 350) = 700

GCD(4, 350) = ( 4 x 350 ) / 700

= 4 / 350

= 4

Step3:

LCM(2, 140) = 140

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

= 2 / 140

= 2

So, Greatest Common Divisor of 340, 384, 350, 140 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 788, 313, 875, 160
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• GCD of 938, 381, 532, 400
• GCD of 558, 578, 547, 536
• GCD of 159, 241, 268, 236

Given numbers are 340, 384, 350, 140
The greatest common divisor of numbers 340, 384, 350, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 340, 384, 350, 140 is 2.

1. What is the GCD of 340, 384, 350, 140?

GCD of given numbers 340, 384, 350, 140 is 2

2. How to calculate the greatest common divisor of 340, 384, 350, 140?

We can find the highest common divisor of 340, 384, 350, 140 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 340, 384, 350, 140 i.e 2.

3. How can I use the GCD of 340, 384, 350, 140Calculator?

Out the numbers 340, 384, 350, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.