GCD of 650, 342, 100, 268 Calculator

Given Input numbers are 650, 342, 100, 268

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 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

GCD of numbers is the greatest common divisor

So, the GCD (650, 342, 100, 268) = 2.

Given numbers are 650, 342, 100, 268

The list of prime factors of all numbers are

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

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 268 are 2 x 2 x 67

The highest common occurrence is 2¹

Therefore, GCD of 650, 342, 100, 268 is 2.

Given numbers are 650, 342, 100, 268

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

Apply this formula for all numbers.

Step1:

LCM(650, 342) = 111150

GCD(650, 342) = ( 650 x 342 ) / 111150

= 650 / 342

= 650

Step2:

LCM(2, 100) = 100

GCD(2, 100) = ( 2 x 100 ) / 100

= 2 / 100

= 2

Step3:

LCM(2, 268) = 268

GCD(2, 268) = ( 2 x 268 ) / 268

= 2 / 268

= 2

So, Greatest Common Divisor of 650, 342, 100, 268 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 523, 151, 530, 141
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• GCD of 774, 770, 226, 283
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• GCD of 742, 683, 285, 859

Given numbers are 650, 342, 100, 268
The greatest common divisor of numbers 650, 342, 100, 268 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 650, 342, 100, 268 is 2.

1. What is the GCD of 650, 342, 100, 268?

GCD of given numbers 650, 342, 100, 268 is 2

2. How to calculate the greatest common divisor of 650, 342, 100, 268?

We can find the highest common divisor of 650, 342, 100, 268 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, 342, 100, 268 i.e 2.

3. How can I use the GCD of 650, 342, 100, 268Calculator?

Out the numbers 650, 342, 100, 268 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.