GCD of 700, 160, 950, 266 Calculator

Given Input numbers are 700, 160, 950, 266

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

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 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 950

List of positive integer divisors of 950 that divides 950 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

Divisors of 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Greatest Common Divisior

We found the divisors of 700, 160, 950, 266 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 160, 950, 266 is 2.

Therefore, GCD of numbers 700, 160, 950, 266 is 2

Given Input Data is 700, 160, 950, 266

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

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

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 950 is 2 x 5 x 5 x 19

Prime Factorization of 266 is 2 x 7 x 19

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(700, 160) = 5600

GCD(700, 160) = ( 700 x 160 ) / 5600

GCD(700, 160) = 112000 / 5600

GCD(700, 160) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 950

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

LCM(20, 950) = 1900

GCD(20, 950) = ( 20 x 950 ) / 1900

GCD(20, 950) = 19000 / 1900

GCD(20, 950) = 10

Step3:

Here we consider the GCD from the above i.e. 10 as first number and the next as 266

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

LCM(10, 266) = 1330

GCD(10, 266) = ( 10 x 266 ) / 1330

GCD(10, 266) = 2660 / 1330

GCD(10, 266) = 2

GCD of 700, 160, 950, 266 is 2

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• GCD of 332, 327, 662, 816
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1. What is the GCD of 700, 160, 950, 266?

GCD of 700, 160, 950, 266 is 2

2. Where do I get the detailed procedure to find GCD of 700, 160, 950, 266?

You can find a detailed procedure to find GCD of 700, 160, 950, 266 on our page.

3. How to find GCD of 700, 160, 950, 266 on a calculator?

You can find the GCD of 700, 160, 950, 266 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.