GCD of 80, 142, 948, 308 Calculator

Given Input numbers are 80, 142, 948, 308

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

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Greatest Common Divisior

We found the divisors of 80, 142, 948, 308 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 80, 142, 948, 308 is 2.

Therefore, GCD of numbers 80, 142, 948, 308 is 2

Given Input Data is 80, 142, 948, 308

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

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 142 is 2 x 71

Prime Factorization of 948 is 2 x 2 x 3 x 79

Prime Factorization of 308 is 2 x 2 x 7 x 11

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(80, 142) = 5680

GCD(80, 142) = ( 80 x 142 ) / 5680

GCD(80, 142) = 11360 / 5680

GCD(80, 142) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 948

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

LCM(2, 948) = 948

GCD(2, 948) = ( 2 x 948 ) / 948

GCD(2, 948) = 1896 / 948

GCD(2, 948) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 308

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

LCM(2, 308) = 308

GCD(2, 308) = ( 2 x 308 ) / 308

GCD(2, 308) = 616 / 308

GCD(2, 308) = 2

GCD of 80, 142, 948, 308 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 71, 682, 786, 602
• GCD of 30, 693, 907, 624
• GCD of 79, 998, 247, 321
• GCD of 70, 822, 400, 838
• GCD of 93, 457, 232, 634

1. What is the GCD of 80, 142, 948, 308?

GCD of 80, 142, 948, 308 is 2

2. Where do I get the detailed procedure to find GCD of 80, 142, 948, 308?

You can find a detailed procedure to find GCD of 80, 142, 948, 308 on our page.

3. How to find GCD of 80, 142, 948, 308 on a calculator?

You can find the GCD of 80, 142, 948, 308 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.