GCD of 107, 982, 449, 140 Calculator

Given Input numbers are 107, 982, 449, 140

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

Divisors of 107 :

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

1, 107

Divisors of 982 :

The positive integer divisors of 982 that completely divides 982 are.

1, 2, 491, 982

Divisors of 449 :

The positive integer divisors of 449 that completely divides 449 are.

1, 449

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

GCD of numbers is the greatest common divisor

So, the GCD (107, 982, 449, 140) = 1.

Given numbers are 107, 982, 449, 140

The list of prime factors of all numbers are

Prime factors of 107 are 107

Prime factors of 982 are 2 x 491

Prime factors of 449 are 449

Prime factors of 140 are 2 x 2 x 5 x 7

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

Given numbers are 107, 982, 449, 140

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

Apply this formula for all numbers.

Step1:

LCM(107, 982) = 105074

GCD(107, 982) = ( 107 x 982 ) / 105074

= 107 / 982

= 107

Step2:

LCM(1, 449) = 449

GCD(1, 449) = ( 1 x 449 ) / 449

= 1 / 449

= 1

Step3:

LCM(1, 140) = 140

GCD(1, 140) = ( 1 x 140 ) / 140

= 1 / 140

= 1

So, Greatest Common Divisor of 107, 982, 449, 140 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 495, 315, 964, 741
• GCD of 634, 991, 935, 676
• GCD of 200, 130, 695, 142
• GCD of 667, 863, 629, 794
• GCD of 173, 608, 407, 958

Given numbers are 107, 982, 449, 140
The greatest common divisor of numbers 107, 982, 449, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 107, 982, 449, 140 is 1.

1. What is the GCD of 107, 982, 449, 140?

GCD of given numbers 107, 982, 449, 140 is 1

2. How to calculate the greatest common divisor of 107, 982, 449, 140?

We can find the highest common divisor of 107, 982, 449, 140 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 107, 982, 449, 140 i.e 1.

3. How can I use the GCD of 107, 982, 449, 140Calculator?

Out the numbers 107, 982, 449, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.