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 610, 640, 977, 154 i.e. 1 largest integer that divides all the numbers equally.
GCD of 610, 640, 977, 154 is 1
GCD(610, 640, 977, 154) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 610, 640, 977, 154 is 1
GCD(610, 640, 977, 154) = 1
Given Input numbers are 610, 640, 977, 154
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 610
List of positive integer divisors of 610 that divides 610 without a remainder.
1, 2, 5, 10, 61, 122, 305, 610
Divisors of 640
List of positive integer divisors of 640 that divides 640 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
Divisors of 977
List of positive integer divisors of 977 that divides 977 without a remainder.
1, 977
Divisors of 154
List of positive integer divisors of 154 that divides 154 without a remainder.
1, 2, 7, 11, 14, 22, 77, 154
Greatest Common Divisior
We found the divisors of 610, 640, 977, 154 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 610, 640, 977, 154 is 1.
Therefore, GCD of numbers 610, 640, 977, 154 is 1
Given Input Data is 610, 640, 977, 154
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 610 is 2 x 5 x 61
Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 977 is 977
Prime Factorization of 154 is 2 x 7 x 11
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(610, 640) = 39040
GCD(610, 640) = ( 610 x 640 ) / 39040
GCD(610, 640) = 390400 / 39040
GCD(610, 640) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 977
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 977) = 9770
GCD(10, 977) = ( 10 x 977 ) / 9770
GCD(10, 977) = 9770 / 9770
GCD(10, 977) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 154
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 154) = 154
GCD(1, 154) = ( 1 x 154 ) / 154
GCD(1, 154) = 154 / 154
GCD(1, 154) = 1
GCD of 610, 640, 977, 154 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 610, 640, 977, 154?
GCD of 610, 640, 977, 154 is 1
2. Where do I get the detailed procedure to find GCD of 610, 640, 977, 154?
You can find a detailed procedure to find GCD of 610, 640, 977, 154 on our page.
3. How to find GCD of 610, 640, 977, 154 on a calculator?
You can find the GCD of 610, 640, 977, 154 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.