GCD of 438, 738, 832, 140 Calculator

Given Input numbers are 438, 738, 832, 140

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 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 832 :

The positive integer divisors of 832 that completely divides 832 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

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 (438, 738, 832, 140) = 2.

Given numbers are 438, 738, 832, 140

The list of prime factors of all numbers are

Prime factors of 438 are 2 x 3 x 73

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13

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

The highest common occurrence is 2¹

Therefore, GCD of 438, 738, 832, 140 is 2.

Given numbers are 438, 738, 832, 140

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

Apply this formula for all numbers.

Step1:

LCM(438, 738) = 53874

GCD(438, 738) = ( 438 x 738 ) / 53874

= 438 / 738

= 438

Step2:

LCM(6, 832) = 2496

GCD(6, 832) = ( 6 x 832 ) / 2496

= 6 / 832

= 6

Step3:

LCM(2, 140) = 140

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

= 2 / 140

= 2

So, Greatest Common Divisor of 438, 738, 832, 140 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 567, 964, 977, 356
• GCD of 932, 995, 795, 275
• GCD of 715, 753, 629, 801
• GCD of 219, 560, 232, 206
• GCD of 221, 235, 716, 299

Given numbers are 438, 738, 832, 140
The greatest common divisor of numbers 438, 738, 832, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 738, 832, 140 is 2.

1. What is the GCD of 438, 738, 832, 140?

GCD of given numbers 438, 738, 832, 140 is 2

2. How to calculate the greatest common divisor of 438, 738, 832, 140?

We can find the highest common divisor of 438, 738, 832, 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 438, 738, 832, 140 i.e 2.

3. How can I use the GCD of 438, 738, 832, 140Calculator?

Out the numbers 438, 738, 832, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.