GCD of 380, 670, 986, 634 Calculator

Given Input numbers are 380, 670, 986, 634

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

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 670 :

The positive integer divisors of 670 that completely divides 670 are.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 986 :

The positive integer divisors of 986 that completely divides 986 are.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 634 :

The positive integer divisors of 634 that completely divides 634 are.

1, 2, 317, 634

GCD of numbers is the greatest common divisor

So, the GCD (380, 670, 986, 634) = 2.

Given numbers are 380, 670, 986, 634

The list of prime factors of all numbers are

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 670 are 2 x 5 x 67

Prime factors of 986 are 2 x 17 x 29

Prime factors of 634 are 2 x 317

The highest common occurrence is 2¹

Therefore, GCD of 380, 670, 986, 634 is 2.

Given numbers are 380, 670, 986, 634

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

Apply this formula for all numbers.

Step1:

LCM(380, 670) = 25460

GCD(380, 670) = ( 380 x 670 ) / 25460

= 380 / 670

= 380

Step2:

LCM(10, 986) = 4930

GCD(10, 986) = ( 10 x 986 ) / 4930

= 10 / 986

= 10

Step3:

LCM(2, 634) = 634

GCD(2, 634) = ( 2 x 634 ) / 634

= 2 / 634

= 2

So, Greatest Common Divisor of 380, 670, 986, 634 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 697, 254, 493, 789
• GCD of 866, 579, 791, 142
• GCD of 308, 571, 758, 292
• GCD of 258, 318, 404, 712
• GCD of 731, 363, 752, 719

Given numbers are 380, 670, 986, 634
The greatest common divisor of numbers 380, 670, 986, 634 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 670, 986, 634 is 2.

1. What is the GCD of 380, 670, 986, 634?

GCD of given numbers 380, 670, 986, 634 is 2

2. How to calculate the greatest common divisor of 380, 670, 986, 634?

We can find the highest common divisor of 380, 670, 986, 634 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 380, 670, 986, 634 i.e 2.

3. How can I use the GCD of 380, 670, 986, 634Calculator?

Out the numbers 380, 670, 986, 634 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.