GCD of 922, 280, 700, 994 Calculator

Given Input numbers are 922, 280, 700, 994

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

Divisors of 922

List of positive integer divisors of 922 that divides 922 without a remainder.

1, 2, 461, 922

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Greatest Common Divisior

We found the divisors of 922, 280, 700, 994 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 922, 280, 700, 994 is 2.

Therefore, GCD of numbers 922, 280, 700, 994 is 2

Given Input Data is 922, 280, 700, 994

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

Prime Factorization of 922 is 2 x 461

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 994 is 2 x 7 x 71

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(922, 280) = 129080

GCD(922, 280) = ( 922 x 280 ) / 129080

GCD(922, 280) = 258160 / 129080

GCD(922, 280) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 700

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

LCM(2, 700) = 700

GCD(2, 700) = ( 2 x 700 ) / 700

GCD(2, 700) = 1400 / 700

GCD(2, 700) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 994

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

LCM(2, 994) = 994

GCD(2, 994) = ( 2 x 994 ) / 994

GCD(2, 994) = 1988 / 994

GCD(2, 994) = 2

GCD of 922, 280, 700, 994 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 697, 172, 885, 267
• GCD of 257, 429, 128, 869
• GCD of 564, 616, 890, 424
• GCD of 288, 913, 163, 870
• GCD of 390, 750, 422, 520

1. What is the GCD of 922, 280, 700, 994?

GCD of 922, 280, 700, 994 is 2

2. Where do I get the detailed procedure to find GCD of 922, 280, 700, 994?

You can find a detailed procedure to find GCD of 922, 280, 700, 994 on our page.

3. How to find GCD of 922, 280, 700, 994 on a calculator?

You can find the GCD of 922, 280, 700, 994 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.