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 701, 654, 77, 659 i.e. 1 largest integer that divides all the numbers equally.
GCD of 701, 654, 77, 659 is 1
GCD(701, 654, 77, 659) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 701, 654, 77, 659 is 1
GCD(701, 654, 77, 659) = 1
Given Input numbers are 701, 654, 77, 659
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 701
List of positive integer divisors of 701 that divides 701 without a remainder.
1, 701
Divisors of 654
List of positive integer divisors of 654 that divides 654 without a remainder.
1, 2, 3, 6, 109, 218, 327, 654
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 659
List of positive integer divisors of 659 that divides 659 without a remainder.
1, 659
Greatest Common Divisior
We found the divisors of 701, 654, 77, 659 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 701, 654, 77, 659 is 1.
Therefore, GCD of numbers 701, 654, 77, 659 is 1
Given Input Data is 701, 654, 77, 659
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 701 is 701
Prime Factorization of 654 is 2 x 3 x 109
Prime Factorization of 77 is 7 x 11
Prime Factorization of 659 is 659
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(701, 654) = 458454
GCD(701, 654) = ( 701 x 654 ) / 458454
GCD(701, 654) = 458454 / 458454
GCD(701, 654) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 77) = 77
GCD(1, 77) = ( 1 x 77 ) / 77
GCD(1, 77) = 77 / 77
GCD(1, 77) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 659
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 659) = 659
GCD(1, 659) = ( 1 x 659 ) / 659
GCD(1, 659) = 659 / 659
GCD(1, 659) = 1
GCD of 701, 654, 77, 659 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 701, 654, 77, 659?
GCD of 701, 654, 77, 659 is 1
2. Where do I get the detailed procedure to find GCD of 701, 654, 77, 659?
You can find a detailed procedure to find GCD of 701, 654, 77, 659 on our page.
3. How to find GCD of 701, 654, 77, 659 on a calculator?
You can find the GCD of 701, 654, 77, 659 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.