GCD of 107, 214, 702, 983 Calculator

Given Input numbers are 107, 214, 702, 983

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 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 983 :

The positive integer divisors of 983 that completely divides 983 are.

1, 983

GCD of numbers is the greatest common divisor

So, the GCD (107, 214, 702, 983) = 1.

Given numbers are 107, 214, 702, 983

The list of prime factors of all numbers are

Prime factors of 107 are 107

Prime factors of 214 are 2 x 107

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 983 are 983

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

Given numbers are 107, 214, 702, 983

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

Apply this formula for all numbers.

Step1:

LCM(107, 214) = 214

GCD(107, 214) = ( 107 x 214 ) / 214

= 107 / 214

= 107

Step2:

LCM(107, 702) = 75114

GCD(107, 702) = ( 107 x 702 ) / 75114

= 107 / 702

= 107

Step3:

LCM(1, 983) = 983

GCD(1, 983) = ( 1 x 983 ) / 983

= 1 / 983

= 1

So, Greatest Common Divisor of 107, 214, 702, 983 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 850, 138, 505, 197
• GCD of 761, 273, 671, 670
• GCD of 998, 706, 197, 786
• GCD of 908, 129, 549, 149
• GCD of 892, 659, 270, 788

Given numbers are 107, 214, 702, 983
The greatest common divisor of numbers 107, 214, 702, 983 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 107, 214, 702, 983 is 1.

1. What is the GCD of 107, 214, 702, 983?

GCD of given numbers 107, 214, 702, 983 is 1

2. How to calculate the greatest common divisor of 107, 214, 702, 983?

We can find the highest common divisor of 107, 214, 702, 983 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, 214, 702, 983 i.e 1.

3. How can I use the GCD of 107, 214, 702, 983Calculator?

Out the numbers 107, 214, 702, 983 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.