GCD of 874, 758, 178, 438 Calculator

Given Input numbers are 874, 758, 178, 438

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

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 758 :

The positive integer divisors of 758 that completely divides 758 are.

1, 2, 379, 758

Divisors of 178 :

The positive integer divisors of 178 that completely divides 178 are.

1, 2, 89, 178

Divisors of 438 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (874, 758, 178, 438) = 2.

Given numbers are 874, 758, 178, 438

The list of prime factors of all numbers are

Prime factors of 874 are 2 x 19 x 23

Prime factors of 758 are 2 x 379

Prime factors of 178 are 2 x 89

Prime factors of 438 are 2 x 3 x 73

The highest common occurrence is 2¹

Therefore, GCD of 874, 758, 178, 438 is 2.

Given numbers are 874, 758, 178, 438

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

Apply this formula for all numbers.

Step1:

LCM(874, 758) = 331246

GCD(874, 758) = ( 874 x 758 ) / 331246

= 874 / 758

= 874

Step2:

LCM(2, 178) = 178

GCD(2, 178) = ( 2 x 178 ) / 178

= 2 / 178

= 2

Step3:

LCM(2, 438) = 438

GCD(2, 438) = ( 2 x 438 ) / 438

= 2 / 438

= 2

So, Greatest Common Divisor of 874, 758, 178, 438 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 868, 542, 768, 642
• GCD of 635, 762, 995, 464
• GCD of 282, 699, 355, 149
• GCD of 302, 748, 225, 925
• GCD of 389, 739, 396, 449

Given numbers are 874, 758, 178, 438
The greatest common divisor of numbers 874, 758, 178, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 874, 758, 178, 438 is 2.

1. What is the GCD of 874, 758, 178, 438?

GCD of given numbers 874, 758, 178, 438 is 2

2. How to calculate the greatest common divisor of 874, 758, 178, 438?

We can find the highest common divisor of 874, 758, 178, 438 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 874, 758, 178, 438 i.e 2.

3. How can I use the GCD of 874, 758, 178, 438Calculator?

Out the numbers 874, 758, 178, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.