GCD of 854, 952, 938 Calculator

Given Input numbers are 854, 952, 938

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

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Greatest Common Divisior

We found the divisors of 854, 952, 938 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 854, 952, 938 is 14.

Therefore, GCD of numbers 854, 952, 938 is 14

Given Input Data is 854, 952, 938

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

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 938 is 2 x 7 x 67

Highest common occurrences in the given inputs are 2¹ x 7¹

Multiplying them we get the GCD as 14

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(854, 952) = 58072

GCD(854, 952) = ( 854 x 952 ) / 58072

GCD(854, 952) = 813008 / 58072

GCD(854, 952) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 938

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

LCM(14, 938) = 938

GCD(14, 938) = ( 14 x 938 ) / 938

GCD(14, 938) = 13132 / 938

GCD(14, 938) = 14

GCD of 854, 952, 938 is 14

Here are some samples of GCD of Numbers calculations.

• GCD of 476, 666, 824
• GCD of 715, 219, 807
• GCD of 756, 226, 585
• GCD of 313, 100, 921
• GCD of 201, 923, 463

1. What is the GCD of 854, 952, 938?

GCD of 854, 952, 938 is 14

2. Where do I get the detailed procedure to find GCD of 854, 952, 938?

You can find a detailed procedure to find GCD of 854, 952, 938 on our page.

3. How to find GCD of 854, 952, 938 on a calculator?

You can find the GCD of 854, 952, 938 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.