GCD of 968, 408, 550, 830 Calculator

Given Input numbers are 968, 408, 550, 830

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

Divisors of 968 :

The positive integer divisors of 968 that completely divides 968 are.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 830 :

The positive integer divisors of 830 that completely divides 830 are.

1, 2, 5, 10, 83, 166, 415, 830

GCD of numbers is the greatest common divisor

So, the GCD (968, 408, 550, 830) = 2.

Given numbers are 968, 408, 550, 830

The list of prime factors of all numbers are

Prime factors of 968 are 2 x 2 x 2 x 11 x 11

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 550 are 2 x 5 x 5 x 11

Prime factors of 830 are 2 x 5 x 83

The highest common occurrence is 2¹

Therefore, GCD of 968, 408, 550, 830 is 2.

Given numbers are 968, 408, 550, 830

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

Apply this formula for all numbers.

Step1:

LCM(968, 408) = 49368

GCD(968, 408) = ( 968 x 408 ) / 49368

= 968 / 408

= 968

Step2:

LCM(8, 550) = 2200

GCD(8, 550) = ( 8 x 550 ) / 2200

= 8 / 550

= 8

Step3:

LCM(2, 830) = 830

GCD(2, 830) = ( 2 x 830 ) / 830

= 2 / 830

= 2

So, Greatest Common Divisor of 968, 408, 550, 830 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 342, 343, 750, 345
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• GCD of 242, 573, 635, 693
• GCD of 393, 763, 895, 580

Given numbers are 968, 408, 550, 830
The greatest common divisor of numbers 968, 408, 550, 830 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 968, 408, 550, 830 is 2.

1. What is the GCD of 968, 408, 550, 830?

GCD of given numbers 968, 408, 550, 830 is 2

2. How to calculate the greatest common divisor of 968, 408, 550, 830?

We can find the highest common divisor of 968, 408, 550, 830 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 968, 408, 550, 830 i.e 2.

3. How can I use the GCD of 968, 408, 550, 830Calculator?

Out the numbers 968, 408, 550, 830 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.