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 435, 691, 57, 948 i.e. 1 largest integer that divides all the numbers equally.
GCD of 435, 691, 57, 948 is 1
GCD(435, 691, 57, 948) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 435, 691, 57, 948 is 1
GCD(435, 691, 57, 948) = 1
Given Input numbers are 435, 691, 57, 948
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 435
List of positive integer divisors of 435 that divides 435 without a remainder.
1, 3, 5, 15, 29, 87, 145, 435
Divisors of 691
List of positive integer divisors of 691 that divides 691 without a remainder.
1, 691
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
Divisors of 948
List of positive integer divisors of 948 that divides 948 without a remainder.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Greatest Common Divisior
We found the divisors of 435, 691, 57, 948 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 435, 691, 57, 948 is 1.
Therefore, GCD of numbers 435, 691, 57, 948 is 1
Given Input Data is 435, 691, 57, 948
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 435 is 3 x 5 x 29
Prime Factorization of 691 is 691
Prime Factorization of 57 is 3 x 19
Prime Factorization of 948 is 2 x 2 x 3 x 79
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(435, 691) = 300585
GCD(435, 691) = ( 435 x 691 ) / 300585
GCD(435, 691) = 300585 / 300585
GCD(435, 691) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 57
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 57) = 57
GCD(1, 57) = ( 1 x 57 ) / 57
GCD(1, 57) = 57 / 57
GCD(1, 57) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 948
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 948) = 948
GCD(1, 948) = ( 1 x 948 ) / 948
GCD(1, 948) = 948 / 948
GCD(1, 948) = 1
GCD of 435, 691, 57, 948 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 435, 691, 57, 948?
GCD of 435, 691, 57, 948 is 1
2. Where do I get the detailed procedure to find GCD of 435, 691, 57, 948?
You can find a detailed procedure to find GCD of 435, 691, 57, 948 on our page.
3. How to find GCD of 435, 691, 57, 948 on a calculator?
You can find the GCD of 435, 691, 57, 948 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.