GCD of 154, 966, 680, 208 Calculator

Given Input numbers are 154, 966, 680, 208

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

Divisors of 154 :

The positive integer divisors of 154 that completely divides 154 are.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

GCD of numbers is the greatest common divisor

So, the GCD (154, 966, 680, 208) = 2.

Given numbers are 154, 966, 680, 208

The list of prime factors of all numbers are

Prime factors of 154 are 2 x 7 x 11

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

The highest common occurrence is 2¹

Therefore, GCD of 154, 966, 680, 208 is 2.

Given numbers are 154, 966, 680, 208

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

Apply this formula for all numbers.

Step1:

LCM(154, 966) = 10626

GCD(154, 966) = ( 154 x 966 ) / 10626

= 154 / 966

= 154

Step2:

LCM(14, 680) = 4760

GCD(14, 680) = ( 14 x 680 ) / 4760

= 14 / 680

= 14

Step3:

LCM(2, 208) = 208

GCD(2, 208) = ( 2 x 208 ) / 208

= 2 / 208

= 2

So, Greatest Common Divisor of 154, 966, 680, 208 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 706, 397, 514, 785
• GCD of 701, 251, 210, 237
• GCD of 717, 544, 286, 208
• GCD of 491, 450, 218, 198
• GCD of 296, 336, 832, 432

Given numbers are 154, 966, 680, 208
The greatest common divisor of numbers 154, 966, 680, 208 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 154, 966, 680, 208 is 2.

1. What is the GCD of 154, 966, 680, 208?

GCD of given numbers 154, 966, 680, 208 is 2

2. How to calculate the greatest common divisor of 154, 966, 680, 208?

We can find the highest common divisor of 154, 966, 680, 208 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 154, 966, 680, 208 i.e 2.

3. How can I use the GCD of 154, 966, 680, 208Calculator?

Out the numbers 154, 966, 680, 208 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.