GCD of 650, 274, 364, 448 Calculator

Given Input numbers are 650, 274, 364, 448

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 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

GCD of numbers is the greatest common divisor

So, the GCD (650, 274, 364, 448) = 2.

Given numbers are 650, 274, 364, 448

The list of prime factors of all numbers are

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

Prime factors of 274 are 2 x 137

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

The highest common occurrence is 2¹

Therefore, GCD of 650, 274, 364, 448 is 2.

Given numbers are 650, 274, 364, 448

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

Apply this formula for all numbers.

Step1:

LCM(650, 274) = 89050

GCD(650, 274) = ( 650 x 274 ) / 89050

= 650 / 274

= 650

Step2:

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

= 2 / 364

= 2

Step3:

LCM(2, 448) = 448

GCD(2, 448) = ( 2 x 448 ) / 448

= 2 / 448

= 2

So, Greatest Common Divisor of 650, 274, 364, 448 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 459, 191, 421, 974
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Given numbers are 650, 274, 364, 448
The greatest common divisor of numbers 650, 274, 364, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 650, 274, 364, 448 is 2.

1. What is the GCD of 650, 274, 364, 448?

GCD of given numbers 650, 274, 364, 448 is 2

2. How to calculate the greatest common divisor of 650, 274, 364, 448?

We can find the highest common divisor of 650, 274, 364, 448 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, 274, 364, 448 i.e 2.

3. How can I use the GCD of 650, 274, 364, 448Calculator?

Out the numbers 650, 274, 364, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.