GCD of 114, 434, 689, 900 Calculator

Given Input numbers are 114, 434, 689, 900

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 434 :

The positive integer divisors of 434 that completely divides 434 are.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

GCD of numbers is the greatest common divisor

So, the GCD (114, 434, 689, 900) = 1.

Given numbers are 114, 434, 689, 900

The list of prime factors of all numbers are

Prime factors of 114 are 2 x 3 x 19

Prime factors of 434 are 2 x 7 x 31

Prime factors of 689 are 13 x 53

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

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

Given numbers are 114, 434, 689, 900

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

Apply this formula for all numbers.

Step1:

LCM(114, 434) = 24738

GCD(114, 434) = ( 114 x 434 ) / 24738

= 114 / 434

= 114

Step2:

LCM(2, 689) = 1378

GCD(2, 689) = ( 2 x 689 ) / 1378

= 2 / 689

= 2

Step3:

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

= 1 / 900

= 1

So, Greatest Common Divisor of 114, 434, 689, 900 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 376, 352, 581, 602
• GCD of 627, 629, 625, 301
• GCD of 557, 527, 971, 790
• GCD of 776, 751, 334, 658
• GCD of 947, 894, 893, 668

Given numbers are 114, 434, 689, 900
The greatest common divisor of numbers 114, 434, 689, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 114, 434, 689, 900 is 1.

1. What is the GCD of 114, 434, 689, 900?

GCD of given numbers 114, 434, 689, 900 is 1

2. How to calculate the greatest common divisor of 114, 434, 689, 900?

We can find the highest common divisor of 114, 434, 689, 900 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, 434, 689, 900 i.e 1.

3. How can I use the GCD of 114, 434, 689, 900Calculator?

Out the numbers 114, 434, 689, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.