GCD of 114, 429, 375, 374 Calculator

Given Input numbers are 114, 429, 375, 374

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

Divisors of 114 :

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

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

Divisors of 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

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 (114, 429, 375, 374) = 1.

Given numbers are 114, 429, 375, 374

The list of prime factors of all numbers are

Prime factors of 114 are 2 x 3 x 19

Prime factors of 429 are 3 x 11 x 13

Prime factors of 375 are 3 x 5 x 5 x 5

Prime factors of 374 are 2 x 11 x 17

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 114, 429, 375, 374

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

Apply this formula for all numbers.

Step1:

LCM(114, 429) = 16302

GCD(114, 429) = ( 114 x 429 ) / 16302

= 114 / 429

= 114

Step2:

LCM(3, 375) = 375

GCD(3, 375) = ( 3 x 375 ) / 375

= 3 / 375

= 3

Step3:

LCM(3, 374) = 1122

GCD(3, 374) = ( 3 x 374 ) / 1122

= 3 / 374

= 3

So, Greatest Common Divisor of 114, 429, 375, 374 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 321, 700, 266, 243
• GCD of 673, 854, 416, 876
• GCD of 469, 459, 955, 288
• GCD of 677, 768, 660, 852
• GCD of 641, 998, 172, 259

Given numbers are 114, 429, 375, 374
The greatest common divisor of numbers 114, 429, 375, 374 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 114, 429, 375, 374 is 1.

1. What is the GCD of 114, 429, 375, 374?

GCD of given numbers 114, 429, 375, 374 is 1

2. How to calculate the greatest common divisor of 114, 429, 375, 374?

We can find the highest common divisor of 114, 429, 375, 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 114, 429, 375, 374 i.e 1.

3. How can I use the GCD of 114, 429, 375, 374Calculator?

Out the numbers 114, 429, 375, 374 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.