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 426, 277, 126, 715 i.e. 1 largest integer that divides all the numbers equally.
GCD of 426, 277, 126, 715 is 1
GCD(426, 277, 126, 715) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 426, 277, 126, 715 is 1
GCD(426, 277, 126, 715) = 1
Given Input numbers are 426, 277, 126, 715
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 426
List of positive integer divisors of 426 that divides 426 without a remainder.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 277
List of positive integer divisors of 277 that divides 277 without a remainder.
1, 277
Divisors of 126
List of positive integer divisors of 126 that divides 126 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 715
List of positive integer divisors of 715 that divides 715 without a remainder.
1, 5, 11, 13, 55, 65, 143, 715
Greatest Common Divisior
We found the divisors of 426, 277, 126, 715 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 426, 277, 126, 715 is 1.
Therefore, GCD of numbers 426, 277, 126, 715 is 1
Given Input Data is 426, 277, 126, 715
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 426 is 2 x 3 x 71
Prime Factorization of 277 is 277
Prime Factorization of 126 is 2 x 3 x 3 x 7
Prime Factorization of 715 is 5 x 11 x 13
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(426, 277) = 118002
GCD(426, 277) = ( 426 x 277 ) / 118002
GCD(426, 277) = 118002 / 118002
GCD(426, 277) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 126
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 126) = 126
GCD(1, 126) = ( 1 x 126 ) / 126
GCD(1, 126) = 126 / 126
GCD(1, 126) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 715
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 715) = 715
GCD(1, 715) = ( 1 x 715 ) / 715
GCD(1, 715) = 715 / 715
GCD(1, 715) = 1
GCD of 426, 277, 126, 715 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 426, 277, 126, 715?
GCD of 426, 277, 126, 715 is 1
2. Where do I get the detailed procedure to find GCD of 426, 277, 126, 715?
You can find a detailed procedure to find GCD of 426, 277, 126, 715 on our page.
3. How to find GCD of 426, 277, 126, 715 on a calculator?
You can find the GCD of 426, 277, 126, 715 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.