GCD of 114, 273, 138, 435 Calculator

Given Input numbers are 114, 273, 138, 435

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 273 :

The positive integer divisors of 273 that completely divides 273 are.

1, 3, 7, 13, 21, 39, 91, 273

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 435 :

The positive integer divisors of 435 that completely divides 435 are.

1, 3, 5, 15, 29, 87, 145, 435

GCD of numbers is the greatest common divisor

So, the GCD (114, 273, 138, 435) = 3.

Given numbers are 114, 273, 138, 435

The list of prime factors of all numbers are

Prime factors of 114 are 2 x 3 x 19

Prime factors of 273 are 3 x 7 x 13

Prime factors of 138 are 2 x 3 x 23

Prime factors of 435 are 3 x 5 x 29

The highest common occurrence is 3¹

Therefore, GCD of 114, 273, 138, 435 is 3.

Given numbers are 114, 273, 138, 435

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

Apply this formula for all numbers.

Step1:

LCM(114, 273) = 10374

GCD(114, 273) = ( 114 x 273 ) / 10374

= 114 / 273

= 114

Step2:

LCM(3, 138) = 138

GCD(3, 138) = ( 3 x 138 ) / 138

= 3 / 138

= 3

Step3:

LCM(3, 435) = 435

GCD(3, 435) = ( 3 x 435 ) / 435

= 3 / 435

= 3

So, Greatest Common Divisor of 114, 273, 138, 435 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 901, 990, 821, 308
• GCD of 892, 575, 357, 114
• GCD of 600, 546, 350, 246
• GCD of 487, 129, 568, 275
• GCD of 329, 374, 680, 601

Given numbers are 114, 273, 138, 435
The greatest common divisor of numbers 114, 273, 138, 435 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 114, 273, 138, 435 is 3.

1. What is the GCD of 114, 273, 138, 435?

GCD of given numbers 114, 273, 138, 435 is 3

2. How to calculate the greatest common divisor of 114, 273, 138, 435?

We can find the highest common divisor of 114, 273, 138, 435 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, 273, 138, 435 i.e 3.

3. How can I use the GCD of 114, 273, 138, 435Calculator?

Out the numbers 114, 273, 138, 435 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.