GCD of 282, 707, 107, 490 Calculator

Given Input numbers are 282, 707, 107, 490

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

Divisors of 282 :

The positive integer divisors of 282 that completely divides 282 are.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 707 :

The positive integer divisors of 707 that completely divides 707 are.

1, 7, 101, 707

Divisors of 107 :

The positive integer divisors of 107 that completely divides 107 are.

1, 107

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

GCD of numbers is the greatest common divisor

So, the GCD (282, 707, 107, 490) = 1.

Given numbers are 282, 707, 107, 490

The list of prime factors of all numbers are

Prime factors of 282 are 2 x 3 x 47

Prime factors of 707 are 7 x 101

Prime factors of 107 are 107

Prime factors of 490 are 2 x 5 x 7 x 7

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

Given numbers are 282, 707, 107, 490

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

Apply this formula for all numbers.

Step1:

LCM(282, 707) = 199374

GCD(282, 707) = ( 282 x 707 ) / 199374

= 282 / 707

= 282

Step2:

LCM(1, 107) = 107

GCD(1, 107) = ( 1 x 107 ) / 107

= 1 / 107

= 1

Step3:

LCM(1, 490) = 490

GCD(1, 490) = ( 1 x 490 ) / 490

= 1 / 490

= 1

So, Greatest Common Divisor of 282, 707, 107, 490 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 202, 712, 868, 982
• GCD of 168, 914, 612, 306
• GCD of 206, 425, 955, 983
• GCD of 574, 348, 492, 403
• GCD of 530, 187, 815, 120

Given numbers are 282, 707, 107, 490
The greatest common divisor of numbers 282, 707, 107, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 282, 707, 107, 490 is 1.

1. What is the GCD of 282, 707, 107, 490?

GCD of given numbers 282, 707, 107, 490 is 1

2. How to calculate the greatest common divisor of 282, 707, 107, 490?

We can find the highest common divisor of 282, 707, 107, 490 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 282, 707, 107, 490 i.e 1.

3. How can I use the GCD of 282, 707, 107, 490Calculator?

Out the numbers 282, 707, 107, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.