GCD of 874, 310, 532, 428 Calculator

Given Input numbers are 874, 310, 532, 428

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 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 532 :

The positive integer divisors of 532 that completely divides 532 are.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

GCD of numbers is the greatest common divisor

So, the GCD (874, 310, 532, 428) = 2.

Given numbers are 874, 310, 532, 428

The list of prime factors of all numbers are

Prime factors of 874 are 2 x 19 x 23

Prime factors of 310 are 2 x 5 x 31

Prime factors of 532 are 2 x 2 x 7 x 19

Prime factors of 428 are 2 x 2 x 107

The highest common occurrence is 2¹

Therefore, GCD of 874, 310, 532, 428 is 2.

Given numbers are 874, 310, 532, 428

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

Apply this formula for all numbers.

Step1:

LCM(874, 310) = 135470

GCD(874, 310) = ( 874 x 310 ) / 135470

= 874 / 310

= 874

Step2:

LCM(2, 532) = 532

GCD(2, 532) = ( 2 x 532 ) / 532

= 2 / 532

= 2

Step3:

LCM(2, 428) = 428

GCD(2, 428) = ( 2 x 428 ) / 428

= 2 / 428

= 2

So, Greatest Common Divisor of 874, 310, 532, 428 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 933, 102, 218, 184
• GCD of 380, 694, 848, 133
• GCD of 530, 328, 744, 932
• GCD of 333, 834, 474, 598
• GCD of 941, 886, 451, 973

Given numbers are 874, 310, 532, 428
The greatest common divisor of numbers 874, 310, 532, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 874, 310, 532, 428 is 2.

1. What is the GCD of 874, 310, 532, 428?

GCD of given numbers 874, 310, 532, 428 is 2

2. How to calculate the greatest common divisor of 874, 310, 532, 428?

We can find the highest common divisor of 874, 310, 532, 428 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, 310, 532, 428 i.e 2.

3. How can I use the GCD of 874, 310, 532, 428Calculator?

Out the numbers 874, 310, 532, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.