GCD of 104, 674, 114, 968 Calculator

Given Input numbers are 104, 674, 114, 968

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

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

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

GCD of numbers is the greatest common divisor

So, the GCD (104, 674, 114, 968) = 2.

Given numbers are 104, 674, 114, 968

The list of prime factors of all numbers are

Prime factors of 104 are 2 x 2 x 2 x 13

Prime factors of 674 are 2 x 337

Prime factors of 114 are 2 x 3 x 19

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

The highest common occurrence is 2¹

Therefore, GCD of 104, 674, 114, 968 is 2.

Given numbers are 104, 674, 114, 968

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

Apply this formula for all numbers.

Step1:

LCM(104, 674) = 35048

GCD(104, 674) = ( 104 x 674 ) / 35048

= 104 / 674

= 104

Step2:

LCM(2, 114) = 114

GCD(2, 114) = ( 2 x 114 ) / 114

= 2 / 114

= 2

Step3:

LCM(2, 968) = 968

GCD(2, 968) = ( 2 x 968 ) / 968

= 2 / 968

= 2

So, Greatest Common Divisor of 104, 674, 114, 968 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 772, 548, 495, 469
• GCD of 653, 382, 287, 240
• GCD of 416, 688, 324, 253
• GCD of 660, 440, 855, 795
• GCD of 741, 395, 899, 806

Given numbers are 104, 674, 114, 968
The greatest common divisor of numbers 104, 674, 114, 968 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 104, 674, 114, 968 is 2.

1. What is the GCD of 104, 674, 114, 968?

GCD of given numbers 104, 674, 114, 968 is 2

2. How to calculate the greatest common divisor of 104, 674, 114, 968?

We can find the highest common divisor of 104, 674, 114, 968 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 104, 674, 114, 968 i.e 2.

3. How can I use the GCD of 104, 674, 114, 968Calculator?

Out the numbers 104, 674, 114, 968 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.