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 101, 343, 948, 553 i.e. 1 largest integer that divides all the numbers equally.
GCD of 101, 343, 948, 553 is 1
GCD(101, 343, 948, 553) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 101, 343, 948, 553 is 1
GCD(101, 343, 948, 553) = 1
Given Input numbers are 101, 343, 948, 553
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 101
List of positive integer divisors of 101 that divides 101 without a remainder.
1, 101
Divisors of 343
List of positive integer divisors of 343 that divides 343 without a remainder.
1, 7, 49, 343
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
Divisors of 553
List of positive integer divisors of 553 that divides 553 without a remainder.
1, 7, 79, 553
Greatest Common Divisior
We found the divisors of 101, 343, 948, 553 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 101, 343, 948, 553 is 1.
Therefore, GCD of numbers 101, 343, 948, 553 is 1
Given Input Data is 101, 343, 948, 553
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 101 is 101
Prime Factorization of 343 is 7 x 7 x 7
Prime Factorization of 948 is 2 x 2 x 3 x 79
Prime Factorization of 553 is 7 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(101, 343) = 34643
GCD(101, 343) = ( 101 x 343 ) / 34643
GCD(101, 343) = 34643 / 34643
GCD(101, 343) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 553
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 553) = 553
GCD(1, 553) = ( 1 x 553 ) / 553
GCD(1, 553) = 553 / 553
GCD(1, 553) = 1
GCD of 101, 343, 948, 553 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 101, 343, 948, 553?
GCD of 101, 343, 948, 553 is 1
2. Where do I get the detailed procedure to find GCD of 101, 343, 948, 553?
You can find a detailed procedure to find GCD of 101, 343, 948, 553 on our page.
3. How to find GCD of 101, 343, 948, 553 on a calculator?
You can find the GCD of 101, 343, 948, 553 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.