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 948, 807, 55, 577 i.e. 1 largest integer that divides all the numbers equally.
GCD of 948, 807, 55, 577 is 1
GCD(948, 807, 55, 577) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 948, 807, 55, 577 is 1
GCD(948, 807, 55, 577) = 1
Given Input numbers are 948, 807, 55, 577
To find the GCD of numbers using factoring list out all the divisors of each number
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 807
List of positive integer divisors of 807 that divides 807 without a remainder.
1, 3, 269, 807
Divisors of 55
List of positive integer divisors of 55 that divides 55 without a remainder.
1, 5, 11, 55
Divisors of 577
List of positive integer divisors of 577 that divides 577 without a remainder.
1, 577
Greatest Common Divisior
We found the divisors of 948, 807, 55, 577 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 948, 807, 55, 577 is 1.
Therefore, GCD of numbers 948, 807, 55, 577 is 1
Given Input Data is 948, 807, 55, 577
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 948 is 2 x 2 x 3 x 79
Prime Factorization of 807 is 3 x 269
Prime Factorization of 55 is 5 x 11
Prime Factorization of 577 is 577
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(948, 807) = 255012
GCD(948, 807) = ( 948 x 807 ) / 255012
GCD(948, 807) = 765036 / 255012
GCD(948, 807) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 55
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 55) = 165
GCD(3, 55) = ( 3 x 55 ) / 165
GCD(3, 55) = 165 / 165
GCD(3, 55) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 577
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 577) = 577
GCD(1, 577) = ( 1 x 577 ) / 577
GCD(1, 577) = 577 / 577
GCD(1, 577) = 1
GCD of 948, 807, 55, 577 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 948, 807, 55, 577?
GCD of 948, 807, 55, 577 is 1
2. Where do I get the detailed procedure to find GCD of 948, 807, 55, 577?
You can find a detailed procedure to find GCD of 948, 807, 55, 577 on our page.
3. How to find GCD of 948, 807, 55, 577 on a calculator?
You can find the GCD of 948, 807, 55, 577 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.