GCD of 372, 874, 214, 280 Calculator

Given Input numbers are 372, 874, 214, 280

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

Divisors of 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 874 :

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

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

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

GCD of numbers is the greatest common divisor

So, the GCD (372, 874, 214, 280) = 2.

Given numbers are 372, 874, 214, 280

The list of prime factors of all numbers are

Prime factors of 372 are 2 x 2 x 3 x 31

Prime factors of 874 are 2 x 19 x 23

Prime factors of 214 are 2 x 107

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 372, 874, 214, 280 is 2.

Given numbers are 372, 874, 214, 280

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

Apply this formula for all numbers.

Step1:

LCM(372, 874) = 162564

GCD(372, 874) = ( 372 x 874 ) / 162564

= 372 / 874

= 372

Step2:

LCM(2, 214) = 214

GCD(2, 214) = ( 2 x 214 ) / 214

= 2 / 214

= 2

Step3:

LCM(2, 280) = 280

GCD(2, 280) = ( 2 x 280 ) / 280

= 2 / 280

= 2

So, Greatest Common Divisor of 372, 874, 214, 280 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 485, 557, 663, 671
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• GCD of 613, 518, 596, 875
• GCD of 395, 870, 237, 308
• GCD of 668, 667, 398, 724

Given numbers are 372, 874, 214, 280
The greatest common divisor of numbers 372, 874, 214, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 372, 874, 214, 280 is 2.

1. What is the GCD of 372, 874, 214, 280?

GCD of given numbers 372, 874, 214, 280 is 2

2. How to calculate the greatest common divisor of 372, 874, 214, 280?

We can find the highest common divisor of 372, 874, 214, 280 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 372, 874, 214, 280 i.e 2.

3. How can I use the GCD of 372, 874, 214, 280Calculator?

Out the numbers 372, 874, 214, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.