GCD of 874, 616, 342, 376 Calculator

Given Input numbers are 874, 616, 342, 376

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 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 376 :

The positive integer divisors of 376 that completely divides 376 are.

1, 2, 4, 8, 47, 94, 188, 376

GCD of numbers is the greatest common divisor

So, the GCD (874, 616, 342, 376) = 2.

Given numbers are 874, 616, 342, 376

The list of prime factors of all numbers are

Prime factors of 874 are 2 x 19 x 23

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 376 are 2 x 2 x 2 x 47

The highest common occurrence is 2¹

Therefore, GCD of 874, 616, 342, 376 is 2.

Given numbers are 874, 616, 342, 376

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

Apply this formula for all numbers.

Step1:

LCM(874, 616) = 269192

GCD(874, 616) = ( 874 x 616 ) / 269192

= 874 / 616

= 874

Step2:

LCM(2, 342) = 342

GCD(2, 342) = ( 2 x 342 ) / 342

= 2 / 342

= 2

Step3:

LCM(2, 376) = 376

GCD(2, 376) = ( 2 x 376 ) / 376

= 2 / 376

= 2

So, Greatest Common Divisor of 874, 616, 342, 376 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 988, 304, 366, 592
• GCD of 490, 400, 995, 549
• GCD of 824, 366, 438, 779
• GCD of 867, 146, 562, 757
• GCD of 284, 782, 656, 481

Given numbers are 874, 616, 342, 376
The greatest common divisor of numbers 874, 616, 342, 376 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 874, 616, 342, 376 is 2.

1. What is the GCD of 874, 616, 342, 376?

GCD of given numbers 874, 616, 342, 376 is 2

2. How to calculate the greatest common divisor of 874, 616, 342, 376?

We can find the highest common divisor of 874, 616, 342, 376 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, 616, 342, 376 i.e 2.

3. How can I use the GCD of 874, 616, 342, 376Calculator?

Out the numbers 874, 616, 342, 376 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.