GCD of 857, 348, 67, 120 Calculator

Given Input numbers are 857, 348, 67, 120

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

Divisors of 857

List of positive integer divisors of 857 that divides 857 without a remainder.

1, 857

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Greatest Common Divisior

We found the divisors of 857, 348, 67, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 857, 348, 67, 120 is 1.

Therefore, GCD of numbers 857, 348, 67, 120 is 1

Given Input Data is 857, 348, 67, 120

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

Prime Factorization of 857 is 857

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 67 is 67

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

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(857, 348) = 298236

GCD(857, 348) = ( 857 x 348 ) / 298236

GCD(857, 348) = 298236 / 298236

GCD(857, 348) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 67

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

LCM(1, 67) = 67

GCD(1, 67) = ( 1 x 67 ) / 67

GCD(1, 67) = 67 / 67

GCD(1, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 120

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

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

GCD(1, 120) = 120 / 120

GCD(1, 120) = 1

GCD of 857, 348, 67, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 886, 209, 31, 171
• GCD of 958, 629, 47, 475
• GCD of 878, 469, 14, 392
• GCD of 349, 351, 63, 955
• GCD of 490, 132, 89, 802

1. What is the GCD of 857, 348, 67, 120?

GCD of 857, 348, 67, 120 is 1

2. Where do I get the detailed procedure to find GCD of 857, 348, 67, 120?

You can find a detailed procedure to find GCD of 857, 348, 67, 120 on our page.

3. How to find GCD of 857, 348, 67, 120 on a calculator?

You can find the GCD of 857, 348, 67, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.