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 807, 642, 70, 746 i.e. 1 largest integer that divides all the numbers equally.
GCD of 807, 642, 70, 746 is 1
GCD(807, 642, 70, 746) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 807, 642, 70, 746 is 1
GCD(807, 642, 70, 746) = 1
Given Input numbers are 807, 642, 70, 746
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 807
List of positive integer divisors of 807 that divides 807 without a remainder.
1, 3, 269, 807
Divisors of 642
List of positive integer divisors of 642 that divides 642 without a remainder.
1, 2, 3, 6, 107, 214, 321, 642
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 746
List of positive integer divisors of 746 that divides 746 without a remainder.
1, 2, 373, 746
Greatest Common Divisior
We found the divisors of 807, 642, 70, 746 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 807, 642, 70, 746 is 1.
Therefore, GCD of numbers 807, 642, 70, 746 is 1
Given Input Data is 807, 642, 70, 746
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 807 is 3 x 269
Prime Factorization of 642 is 2 x 3 x 107
Prime Factorization of 70 is 2 x 5 x 7
Prime Factorization of 746 is 2 x 373
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(807, 642) = 172698
GCD(807, 642) = ( 807 x 642 ) / 172698
GCD(807, 642) = 518094 / 172698
GCD(807, 642) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 70
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 70) = 210
GCD(3, 70) = ( 3 x 70 ) / 210
GCD(3, 70) = 210 / 210
GCD(3, 70) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 746
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 746) = 746
GCD(1, 746) = ( 1 x 746 ) / 746
GCD(1, 746) = 746 / 746
GCD(1, 746) = 1
GCD of 807, 642, 70, 746 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 807, 642, 70, 746?
GCD of 807, 642, 70, 746 is 1
2. Where do I get the detailed procedure to find GCD of 807, 642, 70, 746?
You can find a detailed procedure to find GCD of 807, 642, 70, 746 on our page.
3. How to find GCD of 807, 642, 70, 746 on a calculator?
You can find the GCD of 807, 642, 70, 746 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.