GCD of 986, 746, 450, 370 Calculator

Given Input numbers are 986, 746, 450, 370

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

Divisors of 986 :

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

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

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

GCD of numbers is the greatest common divisor

So, the GCD (986, 746, 450, 370) = 2.

Given numbers are 986, 746, 450, 370

The list of prime factors of all numbers are

Prime factors of 986 are 2 x 17 x 29

Prime factors of 746 are 2 x 373

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 370 are 2 x 5 x 37

The highest common occurrence is 2¹

Therefore, GCD of 986, 746, 450, 370 is 2.

Given numbers are 986, 746, 450, 370

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

Apply this formula for all numbers.

Step1:

LCM(986, 746) = 367778

GCD(986, 746) = ( 986 x 746 ) / 367778

= 986 / 746

= 986

Step2:

LCM(2, 450) = 450

GCD(2, 450) = ( 2 x 450 ) / 450

= 2 / 450

= 2

Step3:

LCM(2, 370) = 370

GCD(2, 370) = ( 2 x 370 ) / 370

= 2 / 370

= 2

So, Greatest Common Divisor of 986, 746, 450, 370 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 675, 815, 257, 500
• GCD of 574, 868, 531, 874
• GCD of 587, 143, 961, 134
• GCD of 655, 848, 537, 755
• GCD of 799, 275, 622, 334

Given numbers are 986, 746, 450, 370
The greatest common divisor of numbers 986, 746, 450, 370 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 986, 746, 450, 370 is 2.

1. What is the GCD of 986, 746, 450, 370?

GCD of given numbers 986, 746, 450, 370 is 2

2. How to calculate the greatest common divisor of 986, 746, 450, 370?

We can find the highest common divisor of 986, 746, 450, 370 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 986, 746, 450, 370 i.e 2.

3. How can I use the GCD of 986, 746, 450, 370Calculator?

Out the numbers 986, 746, 450, 370 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.