GCD of 134, 472, 504, 114 Calculator

Given Input numbers are 134, 472, 504, 114

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

Divisors of 134 :

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

1, 2, 67, 134

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

GCD of numbers is the greatest common divisor

So, the GCD (134, 472, 504, 114) = 2.

Given numbers are 134, 472, 504, 114

The list of prime factors of all numbers are

Prime factors of 134 are 2 x 67

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 114 are 2 x 3 x 19

The highest common occurrence is 2¹

Therefore, GCD of 134, 472, 504, 114 is 2.

Given numbers are 134, 472, 504, 114

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

Apply this formula for all numbers.

Step1:

LCM(134, 472) = 31624

GCD(134, 472) = ( 134 x 472 ) / 31624

= 134 / 472

= 134

Step2:

LCM(2, 504) = 504

GCD(2, 504) = ( 2 x 504 ) / 504

= 2 / 504

= 2

Step3:

LCM(2, 114) = 114

GCD(2, 114) = ( 2 x 114 ) / 114

= 2 / 114

= 2

So, Greatest Common Divisor of 134, 472, 504, 114 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 429, 104, 419, 224
• GCD of 394, 433, 680, 409
• GCD of 381, 715, 592, 514
• GCD of 516, 614, 775, 201
• GCD of 326, 580, 171, 136

Given numbers are 134, 472, 504, 114
The greatest common divisor of numbers 134, 472, 504, 114 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 134, 472, 504, 114 is 2.

1. What is the GCD of 134, 472, 504, 114?

GCD of given numbers 134, 472, 504, 114 is 2

2. How to calculate the greatest common divisor of 134, 472, 504, 114?

We can find the highest common divisor of 134, 472, 504, 114 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 134, 472, 504, 114 i.e 2.

3. How can I use the GCD of 134, 472, 504, 114Calculator?

Out the numbers 134, 472, 504, 114 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.