GCD of 896, 378, 438, 140 Calculator

Given Input numbers are 896, 378, 438, 140

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

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 438 :

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

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

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 (896, 378, 438, 140) = 2.

Given numbers are 896, 378, 438, 140

The list of prime factors of all numbers are

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 438 are 2 x 3 x 73

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

The highest common occurrence is 2¹

Therefore, GCD of 896, 378, 438, 140 is 2.

Given numbers are 896, 378, 438, 140

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

Apply this formula for all numbers.

Step1:

LCM(896, 378) = 24192

GCD(896, 378) = ( 896 x 378 ) / 24192

= 896 / 378

= 896

Step2:

LCM(14, 438) = 3066

GCD(14, 438) = ( 14 x 438 ) / 3066

= 14 / 438

= 14

Step3:

LCM(2, 140) = 140

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

= 2 / 140

= 2

So, Greatest Common Divisor of 896, 378, 438, 140 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 945, 498, 293, 170
• GCD of 300, 523, 113, 249
• GCD of 669, 597, 235, 407
• GCD of 490, 573, 301, 326
• GCD of 697, 914, 514, 479

Given numbers are 896, 378, 438, 140
The greatest common divisor of numbers 896, 378, 438, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 896, 378, 438, 140 is 2.

1. What is the GCD of 896, 378, 438, 140?

GCD of given numbers 896, 378, 438, 140 is 2

2. How to calculate the greatest common divisor of 896, 378, 438, 140?

We can find the highest common divisor of 896, 378, 438, 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 896, 378, 438, 140 i.e 2.

3. How can I use the GCD of 896, 378, 438, 140Calculator?

Out the numbers 896, 378, 438, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.