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, 708, 48, 438 i.e. 2 largest integer that divides all the numbers equally.
GCD of 770, 708, 48, 438 is 2
GCD(770, 708, 48, 438) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 770, 708, 48, 438 is 2
GCD(770, 708, 48, 438) = 2
Given Input numbers are 770, 708, 48, 438
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 708
List of positive integer divisors of 708 that divides 708 without a remainder.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 48
List of positive integer divisors of 48 that divides 48 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Divisors of 438
List of positive integer divisors of 438 that divides 438 without a remainder.
1, 2, 3, 6, 73, 146, 219, 438
Greatest Common Divisior
We found the divisors of 770, 708, 48, 438 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 770, 708, 48, 438 is 2.
Therefore, GCD of numbers 770, 708, 48, 438 is 2
Given Input Data is 770, 708, 48, 438
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 708 is 2 x 2 x 3 x 59
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Prime Factorization of 438 is 2 x 3 x 73
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, 708) = 272580
GCD(770, 708) = ( 770 x 708 ) / 272580
GCD(770, 708) = 545160 / 272580
GCD(770, 708) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 48
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 48) = 48
GCD(2, 48) = ( 2 x 48 ) / 48
GCD(2, 48) = 96 / 48
GCD(2, 48) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 438
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 438) = 438
GCD(2, 438) = ( 2 x 438 ) / 438
GCD(2, 438) = 876 / 438
GCD(2, 438) = 2
GCD of 770, 708, 48, 438 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 770, 708, 48, 438?
GCD of 770, 708, 48, 438 is 2
2. Where do I get the detailed procedure to find GCD of 770, 708, 48, 438?
You can find a detailed procedure to find GCD of 770, 708, 48, 438 on our page.
3. How to find GCD of 770, 708, 48, 438 on a calculator?
You can find the GCD of 770, 708, 48, 438 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.