GCD of 650, 398, 400, 296 Calculator

Given Input numbers are 650, 398, 400, 296

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

Divisors of 650 :

The positive integer divisors of 650 that completely divides 650 are.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

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 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

GCD of numbers is the greatest common divisor

So, the GCD (650, 398, 400, 296) = 2.

Given numbers are 650, 398, 400, 296

The list of prime factors of all numbers are

Prime factors of 650 are 2 x 5 x 5 x 13

Prime factors of 398 are 2 x 199

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

Prime factors of 296 are 2 x 2 x 2 x 37

The highest common occurrence is 2¹

Therefore, GCD of 650, 398, 400, 296 is 2.

Given numbers are 650, 398, 400, 296

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

Apply this formula for all numbers.

Step1:

LCM(650, 398) = 129350

GCD(650, 398) = ( 650 x 398 ) / 129350

= 650 / 398

= 650

Step2:

LCM(2, 400) = 400

GCD(2, 400) = ( 2 x 400 ) / 400

= 2 / 400

= 2

Step3:

LCM(2, 296) = 296

GCD(2, 296) = ( 2 x 296 ) / 296

= 2 / 296

= 2

So, Greatest Common Divisor of 650, 398, 400, 296 is 2

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Given numbers are 650, 398, 400, 296
The greatest common divisor of numbers 650, 398, 400, 296 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 650, 398, 400, 296 is 2.

1. What is the GCD of 650, 398, 400, 296?

GCD of given numbers 650, 398, 400, 296 is 2

2. How to calculate the greatest common divisor of 650, 398, 400, 296?

We can find the highest common divisor of 650, 398, 400, 296 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 650, 398, 400, 296 i.e 2.

3. How can I use the GCD of 650, 398, 400, 296Calculator?

Out the numbers 650, 398, 400, 296 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.