GCD of 700, 563, 976, 686 Calculator

Given Input numbers are 700, 563, 976, 686

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 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Greatest Common Divisior

We found the divisors of 700, 563, 976, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 563, 976, 686 is 1.

Therefore, GCD of numbers 700, 563, 976, 686 is 1

Given Input Data is 700, 563, 976, 686

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 563 is 563

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 686 is 2 x 7 x 7 x 7

The above numbers do not have any common prime factor. So GCD is 1

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, 563) = 394100

GCD(700, 563) = ( 700 x 563 ) / 394100

GCD(700, 563) = 394100 / 394100

GCD(700, 563) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 976

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

LCM(1, 976) = 976

GCD(1, 976) = ( 1 x 976 ) / 976

GCD(1, 976) = 976 / 976

GCD(1, 976) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 686

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

LCM(1, 686) = 686

GCD(1, 686) = ( 1 x 686 ) / 686

GCD(1, 686) = 686 / 686

GCD(1, 686) = 1

GCD of 700, 563, 976, 686 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 918, 247, 429, 786
• GCD of 149, 119, 145, 159
• GCD of 702, 197, 807, 694
• GCD of 709, 526, 928, 147
• GCD of 814, 985, 126, 126

1. What is the GCD of 700, 563, 976, 686?

GCD of 700, 563, 976, 686 is 1

2. Where do I get the detailed procedure to find GCD of 700, 563, 976, 686?

You can find a detailed procedure to find GCD of 700, 563, 976, 686 on our page.

3. How to find GCD of 700, 563, 976, 686 on a calculator?

You can find the GCD of 700, 563, 976, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.