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 781, 374, 70, 318 i.e. 1 largest integer that divides all the numbers equally.
GCD of 781, 374, 70, 318 is 1
GCD(781, 374, 70, 318) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 781, 374, 70, 318 is 1
GCD(781, 374, 70, 318) = 1
Given Input numbers are 781, 374, 70, 318
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 781
List of positive integer divisors of 781 that divides 781 without a remainder.
1, 11, 71, 781
Divisors of 374
List of positive integer divisors of 374 that divides 374 without a remainder.
1, 2, 11, 17, 22, 34, 187, 374
Divisors of 70
List of positive integer divisors of 70 that divides 70 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70
Divisors of 318
List of positive integer divisors of 318 that divides 318 without a remainder.
1, 2, 3, 6, 53, 106, 159, 318
Greatest Common Divisior
We found the divisors of 781, 374, 70, 318 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 781, 374, 70, 318 is 1.
Therefore, GCD of numbers 781, 374, 70, 318 is 1
Given Input Data is 781, 374, 70, 318
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 781 is 11 x 71
Prime Factorization of 374 is 2 x 11 x 17
Prime Factorization of 70 is 2 x 5 x 7
Prime Factorization of 318 is 2 x 3 x 53
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(781, 374) = 26554
GCD(781, 374) = ( 781 x 374 ) / 26554
GCD(781, 374) = 292094 / 26554
GCD(781, 374) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 70
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 70) = 770
GCD(11, 70) = ( 11 x 70 ) / 770
GCD(11, 70) = 770 / 770
GCD(11, 70) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 318
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 318) = 318
GCD(1, 318) = ( 1 x 318 ) / 318
GCD(1, 318) = 318 / 318
GCD(1, 318) = 1
GCD of 781, 374, 70, 318 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 781, 374, 70, 318?
GCD of 781, 374, 70, 318 is 1
2. Where do I get the detailed procedure to find GCD of 781, 374, 70, 318?
You can find a detailed procedure to find GCD of 781, 374, 70, 318 on our page.
3. How to find GCD of 781, 374, 70, 318 on a calculator?
You can find the GCD of 781, 374, 70, 318 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.