GCD of 914, 624, 180, 374 Calculator

Given Input numbers are 914, 624, 180, 374

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

Divisors of 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

GCD of numbers is the greatest common divisor

So, the GCD (914, 624, 180, 374) = 2.

Given numbers are 914, 624, 180, 374

The list of prime factors of all numbers are

Prime factors of 914 are 2 x 457

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 374 are 2 x 11 x 17

The highest common occurrence is 2¹

Therefore, GCD of 914, 624, 180, 374 is 2.

Given numbers are 914, 624, 180, 374

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

Apply this formula for all numbers.

Step1:

LCM(914, 624) = 285168

GCD(914, 624) = ( 914 x 624 ) / 285168

= 914 / 624

= 914

Step2:

LCM(2, 180) = 180

GCD(2, 180) = ( 2 x 180 ) / 180

= 2 / 180

= 2

Step3:

LCM(2, 374) = 374

GCD(2, 374) = ( 2 x 374 ) / 374

= 2 / 374

= 2

So, Greatest Common Divisor of 914, 624, 180, 374 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 941, 473, 635, 907
• GCD of 289, 154, 630, 728
• GCD of 546, 342, 376, 978
• GCD of 209, 528, 568, 407
• GCD of 252, 133, 267, 447

Given numbers are 914, 624, 180, 374
The greatest common divisor of numbers 914, 624, 180, 374 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 914, 624, 180, 374 is 2.

1. What is the GCD of 914, 624, 180, 374?

GCD of given numbers 914, 624, 180, 374 is 2

2. How to calculate the greatest common divisor of 914, 624, 180, 374?

We can find the highest common divisor of 914, 624, 180, 374 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 914, 624, 180, 374 i.e 2.

3. How can I use the GCD of 914, 624, 180, 374Calculator?

Out the numbers 914, 624, 180, 374 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.