GCD of 280, 100, 489, 711 Calculator

Given Input numbers are 280, 100, 489, 711

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

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 489 :

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

1, 3, 163, 489

Divisors of 711 :

The positive integer divisors of 711 that completely divides 711 are.

1, 3, 9, 79, 237, 711

GCD of numbers is the greatest common divisor

So, the GCD (280, 100, 489, 711) = 1.

Given numbers are 280, 100, 489, 711

The list of prime factors of all numbers are

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 489 are 3 x 163

Prime factors of 711 are 3 x 3 x 79

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

Given numbers are 280, 100, 489, 711

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

Apply this formula for all numbers.

Step1:

LCM(280, 100) = 1400

GCD(280, 100) = ( 280 x 100 ) / 1400

= 280 / 100

= 280

Step2:

LCM(20, 489) = 9780

GCD(20, 489) = ( 20 x 489 ) / 9780

= 20 / 489

= 20

Step3:

LCM(1, 711) = 711

GCD(1, 711) = ( 1 x 711 ) / 711

= 1 / 711

= 1

So, Greatest Common Divisor of 280, 100, 489, 711 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 179, 793, 614, 138
• GCD of 983, 816, 219, 515
• GCD of 185, 492, 559, 493
• GCD of 339, 165, 655, 402
• GCD of 516, 987, 549, 818

Given numbers are 280, 100, 489, 711
The greatest common divisor of numbers 280, 100, 489, 711 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 280, 100, 489, 711 is 1.

1. What is the GCD of 280, 100, 489, 711?

GCD of given numbers 280, 100, 489, 711 is 1

2. How to calculate the greatest common divisor of 280, 100, 489, 711?

We can find the highest common divisor of 280, 100, 489, 711 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 280, 100, 489, 711 i.e 1.

3. How can I use the GCD of 280, 100, 489, 711Calculator?

Out the numbers 280, 100, 489, 711 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.