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, 601, 989, 435 i.e. 1 largest integer that divides all the numbers equally.
GCD of 700, 601, 989, 435 is 1
GCD(700, 601, 989, 435) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 700, 601, 989, 435 is 1
GCD(700, 601, 989, 435) = 1
Given Input numbers are 700, 601, 989, 435
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 601
List of positive integer divisors of 601 that divides 601 without a remainder.
1, 601
Divisors of 989
List of positive integer divisors of 989 that divides 989 without a remainder.
1, 23, 43, 989
Divisors of 435
List of positive integer divisors of 435 that divides 435 without a remainder.
1, 3, 5, 15, 29, 87, 145, 435
Greatest Common Divisior
We found the divisors of 700, 601, 989, 435 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 601, 989, 435 is 1.
Therefore, GCD of numbers 700, 601, 989, 435 is 1
Given Input Data is 700, 601, 989, 435
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 601 is 601
Prime Factorization of 989 is 23 x 43
Prime Factorization of 435 is 3 x 5 x 29
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, 601) = 420700
GCD(700, 601) = ( 700 x 601 ) / 420700
GCD(700, 601) = 420700 / 420700
GCD(700, 601) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 989
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 989) = 989
GCD(1, 989) = ( 1 x 989 ) / 989
GCD(1, 989) = 989 / 989
GCD(1, 989) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 435
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 435) = 435
GCD(1, 435) = ( 1 x 435 ) / 435
GCD(1, 435) = 435 / 435
GCD(1, 435) = 1
GCD of 700, 601, 989, 435 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 700, 601, 989, 435?
GCD of 700, 601, 989, 435 is 1
2. Where do I get the detailed procedure to find GCD of 700, 601, 989, 435?
You can find a detailed procedure to find GCD of 700, 601, 989, 435 on our page.
3. How to find GCD of 700, 601, 989, 435 on a calculator?
You can find the GCD of 700, 601, 989, 435 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.