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 770, 918, 340, 280 i.e. 2 largest integer that divides all the numbers equally.
GCD of 770, 918, 340, 280 is 2
GCD(770, 918, 340, 280) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 770, 918, 340, 280 is 2
GCD(770, 918, 340, 280) = 2
Given Input numbers are 770, 918, 340, 280
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 770
List of positive integer divisors of 770 that divides 770 without a remainder.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Divisors of 918
List of positive integer divisors of 918 that divides 918 without a remainder.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 340
List of positive integer divisors of 340 that divides 340 without a remainder.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 280
List of positive integer divisors of 280 that divides 280 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Greatest Common Divisior
We found the divisors of 770, 918, 340, 280 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 770, 918, 340, 280 is 2.
Therefore, GCD of numbers 770, 918, 340, 280 is 2
Given Input Data is 770, 918, 340, 280
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 770 is 2 x 5 x 7 x 11
Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17
Prime Factorization of 340 is 2 x 2 x 5 x 17
Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(770, 918) = 353430
GCD(770, 918) = ( 770 x 918 ) / 353430
GCD(770, 918) = 706860 / 353430
GCD(770, 918) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 340
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 340) = 340
GCD(2, 340) = ( 2 x 340 ) / 340
GCD(2, 340) = 680 / 340
GCD(2, 340) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 280
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 280) = 280
GCD(2, 280) = ( 2 x 280 ) / 280
GCD(2, 280) = 560 / 280
GCD(2, 280) = 2
GCD of 770, 918, 340, 280 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 770, 918, 340, 280?
GCD of 770, 918, 340, 280 is 2
2. Where do I get the detailed procedure to find GCD of 770, 918, 340, 280?
You can find a detailed procedure to find GCD of 770, 918, 340, 280 on our page.
3. How to find GCD of 770, 918, 340, 280 on a calculator?
You can find the GCD of 770, 918, 340, 280 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.