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 670, 692, 77, 949 i.e. 1 largest integer that divides all the numbers equally.
GCD of 670, 692, 77, 949 is 1
GCD(670, 692, 77, 949) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 670, 692, 77, 949 is 1
GCD(670, 692, 77, 949) = 1
Given Input numbers are 670, 692, 77, 949
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 670
List of positive integer divisors of 670 that divides 670 without a remainder.
1, 2, 5, 10, 67, 134, 335, 670
Divisors of 692
List of positive integer divisors of 692 that divides 692 without a remainder.
1, 2, 4, 173, 346, 692
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 949
List of positive integer divisors of 949 that divides 949 without a remainder.
1, 13, 73, 949
Greatest Common Divisior
We found the divisors of 670, 692, 77, 949 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 670, 692, 77, 949 is 1.
Therefore, GCD of numbers 670, 692, 77, 949 is 1
Given Input Data is 670, 692, 77, 949
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 670 is 2 x 5 x 67
Prime Factorization of 692 is 2 x 2 x 173
Prime Factorization of 77 is 7 x 11
Prime Factorization of 949 is 13 x 73
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(670, 692) = 231820
GCD(670, 692) = ( 670 x 692 ) / 231820
GCD(670, 692) = 463640 / 231820
GCD(670, 692) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 77) = 154
GCD(2, 77) = ( 2 x 77 ) / 154
GCD(2, 77) = 154 / 154
GCD(2, 77) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 949
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 949) = 949
GCD(1, 949) = ( 1 x 949 ) / 949
GCD(1, 949) = 949 / 949
GCD(1, 949) = 1
GCD of 670, 692, 77, 949 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 670, 692, 77, 949?
GCD of 670, 692, 77, 949 is 1
2. Where do I get the detailed procedure to find GCD of 670, 692, 77, 949?
You can find a detailed procedure to find GCD of 670, 692, 77, 949 on our page.
3. How to find GCD of 670, 692, 77, 949 on a calculator?
You can find the GCD of 670, 692, 77, 949 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.