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, 526, 56, 377 i.e. 1 largest integer that divides all the numbers equally.
GCD of 948, 526, 56, 377 is 1
GCD(948, 526, 56, 377) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 948, 526, 56, 377 is 1
GCD(948, 526, 56, 377) = 1
Given Input numbers are 948, 526, 56, 377
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 526
List of positive integer divisors of 526 that divides 526 without a remainder.
1, 2, 263, 526
Divisors of 56
List of positive integer divisors of 56 that divides 56 without a remainder.
1, 2, 4, 7, 8, 14, 28, 56
Divisors of 377
List of positive integer divisors of 377 that divides 377 without a remainder.
1, 13, 29, 377
Greatest Common Divisior
We found the divisors of 948, 526, 56, 377 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 948, 526, 56, 377 is 1.
Therefore, GCD of numbers 948, 526, 56, 377 is 1
Given Input Data is 948, 526, 56, 377
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 526 is 2 x 263
Prime Factorization of 56 is 2 x 2 x 2 x 7
Prime Factorization of 377 is 13 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(948, 526) = 249324
GCD(948, 526) = ( 948 x 526 ) / 249324
GCD(948, 526) = 498648 / 249324
GCD(948, 526) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 56
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 56) = 56
GCD(2, 56) = ( 2 x 56 ) / 56
GCD(2, 56) = 112 / 56
GCD(2, 56) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 377
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 377) = 754
GCD(2, 377) = ( 2 x 377 ) / 754
GCD(2, 377) = 754 / 754
GCD(2, 377) = 1
GCD of 948, 526, 56, 377 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 948, 526, 56, 377?
GCD of 948, 526, 56, 377 is 1
2. Where do I get the detailed procedure to find GCD of 948, 526, 56, 377?
You can find a detailed procedure to find GCD of 948, 526, 56, 377 on our page.
3. How to find GCD of 948, 526, 56, 377 on a calculator?
You can find the GCD of 948, 526, 56, 377 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.