GCD of 850, 694, 220, 974 Calculator

Given Input numbers are 850, 694, 220, 974

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

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 694

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

1, 2, 347, 694

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 974

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

1, 2, 487, 974

Greatest Common Divisior

We found the divisors of 850, 694, 220, 974 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 850, 694, 220, 974 is 2.

Therefore, GCD of numbers 850, 694, 220, 974 is 2

Given Input Data is 850, 694, 220, 974

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

Prime Factorization of 850 is 2 x 5 x 5 x 17

Prime Factorization of 694 is 2 x 347

Prime Factorization of 220 is 2 x 2 x 5 x 11

Prime Factorization of 974 is 2 x 487

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(850, 694) = 294950

GCD(850, 694) = ( 850 x 694 ) / 294950

GCD(850, 694) = 589900 / 294950

GCD(850, 694) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 220

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

LCM(2, 220) = 220

GCD(2, 220) = ( 2 x 220 ) / 220

GCD(2, 220) = 440 / 220

GCD(2, 220) = 2

Step3:

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

GCD of 850, 694, 220, 974 is 2

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• GCD of 377, 526, 974, 625

1. What is the GCD of 850, 694, 220, 974?

GCD of 850, 694, 220, 974 is 2

2. Where do I get the detailed procedure to find GCD of 850, 694, 220, 974?

You can find a detailed procedure to find GCD of 850, 694, 220, 974 on our page.

3. How to find GCD of 850, 694, 220, 974 on a calculator?

You can find the GCD of 850, 694, 220, 974 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.