GCD of 924, 314, 134, 132 Calculator

Given Input numbers are 924, 314, 134, 132

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

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 134 :

The positive integer divisors of 134 that completely divides 134 are.

1, 2, 67, 134

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

GCD of numbers is the greatest common divisor

So, the GCD (924, 314, 134, 132) = 2.

Given numbers are 924, 314, 134, 132

The list of prime factors of all numbers are

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

Prime factors of 314 are 2 x 157

Prime factors of 134 are 2 x 67

Prime factors of 132 are 2 x 2 x 3 x 11

The highest common occurrence is 2¹

Therefore, GCD of 924, 314, 134, 132 is 2.

Given numbers are 924, 314, 134, 132

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

Apply this formula for all numbers.

Step1:

LCM(924, 314) = 145068

GCD(924, 314) = ( 924 x 314 ) / 145068

= 924 / 314

= 924

Step2:

LCM(2, 134) = 134

GCD(2, 134) = ( 2 x 134 ) / 134

= 2 / 134

= 2

Step3:

LCM(2, 132) = 132

GCD(2, 132) = ( 2 x 132 ) / 132

= 2 / 132

= 2

So, Greatest Common Divisor of 924, 314, 134, 132 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 232, 642, 930, 942
• GCD of 241, 377, 685, 355
• GCD of 666, 664, 126, 484
• GCD of 476, 715, 595, 237
• GCD of 552, 834, 990, 922

Given numbers are 924, 314, 134, 132
The greatest common divisor of numbers 924, 314, 134, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 924, 314, 134, 132 is 2.

1. What is the GCD of 924, 314, 134, 132?

GCD of given numbers 924, 314, 134, 132 is 2

2. How to calculate the greatest common divisor of 924, 314, 134, 132?

We can find the highest common divisor of 924, 314, 134, 132 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 924, 314, 134, 132 i.e 2.

3. How can I use the GCD of 924, 314, 134, 132Calculator?

Out the numbers 924, 314, 134, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.