GCD of 902, 984, 432, 114 Calculator

Given Input numbers are 902, 984, 432, 114

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

Divisors of 902 :

The positive integer divisors of 902 that completely divides 902 are.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

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 (902, 984, 432, 114) = 2.

Given numbers are 902, 984, 432, 114

The list of prime factors of all numbers are

Prime factors of 902 are 2 x 11 x 41

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 114 are 2 x 3 x 19

The highest common occurrence is 2¹

Therefore, GCD of 902, 984, 432, 114 is 2.

Given numbers are 902, 984, 432, 114

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

Apply this formula for all numbers.

Step1:

LCM(902, 984) = 10824

GCD(902, 984) = ( 902 x 984 ) / 10824

= 902 / 984

= 902

Step2:

LCM(82, 432) = 17712

GCD(82, 432) = ( 82 x 432 ) / 17712

= 82 / 432

= 82

Step3:

LCM(2, 114) = 114

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

= 2 / 114

= 2

So, Greatest Common Divisor of 902, 984, 432, 114 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 744, 855, 381, 488
• GCD of 128, 987, 520, 922
• GCD of 215, 444, 118, 867
• GCD of 243, 127, 419, 852
• GCD of 570, 168, 436, 301

Given numbers are 902, 984, 432, 114
The greatest common divisor of numbers 902, 984, 432, 114 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 902, 984, 432, 114 is 2.

1. What is the GCD of 902, 984, 432, 114?

GCD of given numbers 902, 984, 432, 114 is 2

2. How to calculate the greatest common divisor of 902, 984, 432, 114?

We can find the highest common divisor of 902, 984, 432, 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 902, 984, 432, 114 i.e 2.

3. How can I use the GCD of 902, 984, 432, 114Calculator?

Out the numbers 902, 984, 432, 114 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.