Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 700, 626, 35, 467 i.e. 1 largest integer that divides all the numbers equally.
GCD of 700, 626, 35, 467 is 1
GCD(700, 626, 35, 467) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 700, 626, 35, 467 is 1
GCD(700, 626, 35, 467) = 1
Given Input numbers are 700, 626, 35, 467
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 626
List of positive integer divisors of 626 that divides 626 without a remainder.
1, 2, 313, 626
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Divisors of 467
List of positive integer divisors of 467 that divides 467 without a remainder.
1, 467
Greatest Common Divisior
We found the divisors of 700, 626, 35, 467 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 626, 35, 467 is 1.
Therefore, GCD of numbers 700, 626, 35, 467 is 1
Given Input Data is 700, 626, 35, 467
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 626 is 2 x 313
Prime Factorization of 35 is 5 x 7
Prime Factorization of 467 is 467
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, 626) = 219100
GCD(700, 626) = ( 700 x 626 ) / 219100
GCD(700, 626) = 438200 / 219100
GCD(700, 626) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 35
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 35) = 70
GCD(2, 35) = ( 2 x 35 ) / 70
GCD(2, 35) = 70 / 70
GCD(2, 35) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 467
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 467) = 467
GCD(1, 467) = ( 1 x 467 ) / 467
GCD(1, 467) = 467 / 467
GCD(1, 467) = 1
GCD of 700, 626, 35, 467 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 700, 626, 35, 467?
GCD of 700, 626, 35, 467 is 1
2. Where do I get the detailed procedure to find GCD of 700, 626, 35, 467?
You can find a detailed procedure to find GCD of 700, 626, 35, 467 on our page.
3. How to find GCD of 700, 626, 35, 467 on a calculator?
You can find the GCD of 700, 626, 35, 467 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.