GCD of 106, 700, 334, 489 Calculator

Given Input numbers are 106, 700, 334, 489

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

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 334 :

The positive integer divisors of 334 that completely divides 334 are.

1, 2, 167, 334

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

GCD of numbers is the greatest common divisor

So, the GCD (106, 700, 334, 489) = 1.

Given numbers are 106, 700, 334, 489

The list of prime factors of all numbers are

Prime factors of 106 are 2 x 53

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 334 are 2 x 167

Prime factors of 489 are 3 x 163

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

Given numbers are 106, 700, 334, 489

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

Apply this formula for all numbers.

Step1:

LCM(106, 700) = 37100

GCD(106, 700) = ( 106 x 700 ) / 37100

= 106 / 700

= 106

Step2:

LCM(2, 334) = 334

GCD(2, 334) = ( 2 x 334 ) / 334

= 2 / 334

= 2

Step3:

LCM(2, 489) = 978

GCD(2, 489) = ( 2 x 489 ) / 978

= 2 / 489

= 2

So, Greatest Common Divisor of 106, 700, 334, 489 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 557, 652, 304, 184
• GCD of 750, 204, 192, 105
• GCD of 952, 414, 447, 209
• GCD of 745, 534, 381, 642
• GCD of 821, 795, 267, 489

Given numbers are 106, 700, 334, 489
The greatest common divisor of numbers 106, 700, 334, 489 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 106, 700, 334, 489 is 1.

1. What is the GCD of 106, 700, 334, 489?

GCD of given numbers 106, 700, 334, 489 is 1

2. How to calculate the greatest common divisor of 106, 700, 334, 489?

We can find the highest common divisor of 106, 700, 334, 489 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 106, 700, 334, 489 i.e 1.

3. How can I use the GCD of 106, 700, 334, 489Calculator?

Out the numbers 106, 700, 334, 489 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.