GCD of 982, 400, 115, 700 Calculator

Given Input numbers are 982, 400, 115, 700

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

Divisors of 982 :

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

1, 2, 491, 982

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 115 :

The positive integer divisors of 115 that completely divides 115 are.

1, 5, 23, 115

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

GCD of numbers is the greatest common divisor

So, the GCD (982, 400, 115, 700) = 1.

Given numbers are 982, 400, 115, 700

The list of prime factors of all numbers are

Prime factors of 982 are 2 x 491

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 115 are 5 x 23

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

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

Given numbers are 982, 400, 115, 700

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

Apply this formula for all numbers.

Step1:

LCM(982, 400) = 196400

GCD(982, 400) = ( 982 x 400 ) / 196400

= 982 / 400

= 982

Step2:

LCM(2, 115) = 230

GCD(2, 115) = ( 2 x 115 ) / 230

= 2 / 115

= 2

Step3:

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

= 1 / 700

= 1

So, Greatest Common Divisor of 982, 400, 115, 700 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 749, 138, 186, 362
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• GCD of 369, 548, 342, 496

Given numbers are 982, 400, 115, 700
The greatest common divisor of numbers 982, 400, 115, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 982, 400, 115, 700 is 1.

1. What is the GCD of 982, 400, 115, 700?

GCD of given numbers 982, 400, 115, 700 is 1

2. How to calculate the greatest common divisor of 982, 400, 115, 700?

We can find the highest common divisor of 982, 400, 115, 700 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 982, 400, 115, 700 i.e 1.

3. How can I use the GCD of 982, 400, 115, 700Calculator?

Out the numbers 982, 400, 115, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.