GCD of 953, 208, 67, 120 Calculator

Given Input numbers are 953, 208, 67, 120

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

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

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

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 953, 208, 67, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 953, 208, 67, 120 is 1.

Therefore, GCD of numbers 953, 208, 67, 120 is 1

Given Input Data is 953, 208, 67, 120

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

Prime Factorization of 953 is 953

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

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(953, 208) = 198224

GCD(953, 208) = ( 953 x 208 ) / 198224

GCD(953, 208) = 198224 / 198224

GCD(953, 208) = 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 953, 208, 67, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 664, 693, 55, 550
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• GCD of 552, 804, 94, 552

1. What is the GCD of 953, 208, 67, 120?

GCD of 953, 208, 67, 120 is 1

2. Where do I get the detailed procedure to find GCD of 953, 208, 67, 120?

You can find a detailed procedure to find GCD of 953, 208, 67, 120 on our page.

3. How to find GCD of 953, 208, 67, 120 on a calculator?

You can find the GCD of 953, 208, 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.