GCD of 678, 280, 965, 164 Calculator

Given Input numbers are 678, 280, 965, 164

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 965

List of positive integer divisors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Greatest Common Divisior

We found the divisors of 678, 280, 965, 164 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 280, 965, 164 is 1.

Therefore, GCD of numbers 678, 280, 965, 164 is 1

Given Input Data is 678, 280, 965, 164

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 965 is 5 x 193

Prime Factorization of 164 is 2 x 2 x 41

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

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

LCM(678, 280) = 94920

GCD(678, 280) = ( 678 x 280 ) / 94920

GCD(678, 280) = 189840 / 94920

GCD(678, 280) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 965

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

LCM(2, 965) = 1930

GCD(2, 965) = ( 2 x 965 ) / 1930

GCD(2, 965) = 1930 / 1930

GCD(2, 965) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 164

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

LCM(1, 164) = 164

GCD(1, 164) = ( 1 x 164 ) / 164

GCD(1, 164) = 164 / 164

GCD(1, 164) = 1

GCD of 678, 280, 965, 164 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 900, 955, 611, 116
• GCD of 430, 689, 117, 772
• GCD of 610, 669, 663, 714
• GCD of 146, 676, 284, 216
• GCD of 682, 841, 736, 547

1. What is the GCD of 678, 280, 965, 164?

GCD of 678, 280, 965, 164 is 1

2. Where do I get the detailed procedure to find GCD of 678, 280, 965, 164?

You can find a detailed procedure to find GCD of 678, 280, 965, 164 on our page.

3. How to find GCD of 678, 280, 965, 164 on a calculator?

You can find the GCD of 678, 280, 965, 164 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.