GCD of 874, 424, 174, 760 Calculator

Given Input numbers are 874, 424, 174, 760

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 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

GCD of numbers is the greatest common divisor

So, the GCD (874, 424, 174, 760) = 2.

Given numbers are 874, 424, 174, 760

The list of prime factors of all numbers are

Prime factors of 874 are 2 x 19 x 23

Prime factors of 424 are 2 x 2 x 2 x 53

Prime factors of 174 are 2 x 3 x 29

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

The highest common occurrence is 2¹

Therefore, GCD of 874, 424, 174, 760 is 2.

Given numbers are 874, 424, 174, 760

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

Apply this formula for all numbers.

Step1:

LCM(874, 424) = 185288

GCD(874, 424) = ( 874 x 424 ) / 185288

= 874 / 424

= 874

Step2:

LCM(2, 174) = 174

GCD(2, 174) = ( 2 x 174 ) / 174

= 2 / 174

= 2

Step3:

LCM(2, 760) = 760

GCD(2, 760) = ( 2 x 760 ) / 760

= 2 / 760

= 2

So, Greatest Common Divisor of 874, 424, 174, 760 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 278, 726, 717, 963
• GCD of 891, 647, 629, 925
• GCD of 309, 121, 173, 460
• GCD of 870, 617, 419, 216
• GCD of 676, 669, 362, 723

Given numbers are 874, 424, 174, 760
The greatest common divisor of numbers 874, 424, 174, 760 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 874, 424, 174, 760 is 2.

1. What is the GCD of 874, 424, 174, 760?

GCD of given numbers 874, 424, 174, 760 is 2

2. How to calculate the greatest common divisor of 874, 424, 174, 760?

We can find the highest common divisor of 874, 424, 174, 760 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, 424, 174, 760 i.e 2.

3. How can I use the GCD of 874, 424, 174, 760Calculator?

Out the numbers 874, 424, 174, 760 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.