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 552, 698, 10, 435 i.e. 1 largest integer that divides all the numbers equally.
GCD of 552, 698, 10, 435 is 1
GCD(552, 698, 10, 435) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 552, 698, 10, 435 is 1
GCD(552, 698, 10, 435) = 1
Given Input numbers are 552, 698, 10, 435
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 552
List of positive integer divisors of 552 that divides 552 without a remainder.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
Divisors of 698
List of positive integer divisors of 698 that divides 698 without a remainder.
1, 2, 349, 698
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
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 552, 698, 10, 435 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 552, 698, 10, 435 is 1.
Therefore, GCD of numbers 552, 698, 10, 435 is 1
Given Input Data is 552, 698, 10, 435
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23
Prime Factorization of 698 is 2 x 349
Prime Factorization of 10 is 2 x 5
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(552, 698) = 192648
GCD(552, 698) = ( 552 x 698 ) / 192648
GCD(552, 698) = 385296 / 192648
GCD(552, 698) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 10
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 10) = 10
GCD(2, 10) = ( 2 x 10 ) / 10
GCD(2, 10) = 20 / 10
GCD(2, 10) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 435
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 435) = 870
GCD(2, 435) = ( 2 x 435 ) / 870
GCD(2, 435) = 870 / 870
GCD(2, 435) = 1
GCD of 552, 698, 10, 435 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 552, 698, 10, 435?
GCD of 552, 698, 10, 435 is 1
2. Where do I get the detailed procedure to find GCD of 552, 698, 10, 435?
You can find a detailed procedure to find GCD of 552, 698, 10, 435 on our page.
3. How to find GCD of 552, 698, 10, 435 on a calculator?
You can find the GCD of 552, 698, 10, 435 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.