GCD of 948, 694, 974, 414 Calculator

Given Input numbers are 948, 694, 974, 414

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

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 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Greatest Common Divisior

We found the divisors of 948, 694, 974, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 948, 694, 974, 414 is 2.

Therefore, GCD of numbers 948, 694, 974, 414 is 2

Given Input Data is 948, 694, 974, 414

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

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

Prime Factorization of 694 is 2 x 347

Prime Factorization of 974 is 2 x 487

Prime Factorization of 414 is 2 x 3 x 3 x 23

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(948, 694) = 328956

GCD(948, 694) = ( 948 x 694 ) / 328956

GCD(948, 694) = 657912 / 328956

GCD(948, 694) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 974

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

LCM(2, 974) = 974

GCD(2, 974) = ( 2 x 974 ) / 974

GCD(2, 974) = 1948 / 974

GCD(2, 974) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 414

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

LCM(2, 414) = 414

GCD(2, 414) = ( 2 x 414 ) / 414

GCD(2, 414) = 828 / 414

GCD(2, 414) = 2

GCD of 948, 694, 974, 414 is 2

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1. What is the GCD of 948, 694, 974, 414?

GCD of 948, 694, 974, 414 is 2

2. Where do I get the detailed procedure to find GCD of 948, 694, 974, 414?

You can find a detailed procedure to find GCD of 948, 694, 974, 414 on our page.

3. How to find GCD of 948, 694, 974, 414 on a calculator?

You can find the GCD of 948, 694, 974, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.