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 70, 893, 435, 948 i.e. 1 largest integer that divides all the numbers equally.
GCD of 70, 893, 435, 948 is 1
GCD(70, 893, 435, 948) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 70, 893, 435, 948 is 1
GCD(70, 893, 435, 948) = 1
Given Input numbers are 70, 893, 435, 948
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 70
List of positive integer divisors of 70 that divides 70 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70
Divisors of 893
List of positive integer divisors of 893 that divides 893 without a remainder.
1, 19, 47, 893
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 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 70, 893, 435, 948 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 893, 435, 948 is 1.
Therefore, GCD of numbers 70, 893, 435, 948 is 1
Given Input Data is 70, 893, 435, 948
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 70 is 2 x 5 x 7
Prime Factorization of 893 is 19 x 47
Prime Factorization of 435 is 3 x 5 x 29
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(70, 893) = 62510
GCD(70, 893) = ( 70 x 893 ) / 62510
GCD(70, 893) = 62510 / 62510
GCD(70, 893) = 1
Step2:
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
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 70, 893, 435, 948 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 70, 893, 435, 948?
GCD of 70, 893, 435, 948 is 1
2. Where do I get the detailed procedure to find GCD of 70, 893, 435, 948?
You can find a detailed procedure to find GCD of 70, 893, 435, 948 on our page.
3. How to find GCD of 70, 893, 435, 948 on a calculator?
You can find the GCD of 70, 893, 435, 948 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.