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 851, 761, 75, 700 i.e. 1 largest integer that divides all the numbers equally.
GCD of 851, 761, 75, 700 is 1
GCD(851, 761, 75, 700) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 851, 761, 75, 700 is 1
GCD(851, 761, 75, 700) = 1
Given Input numbers are 851, 761, 75, 700
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 851
List of positive integer divisors of 851 that divides 851 without a remainder.
1, 23, 37, 851
Divisors of 761
List of positive integer divisors of 761 that divides 761 without a remainder.
1, 761
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 700
List of positive integer divisors of 700 that divides 700 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Greatest Common Divisior
We found the divisors of 851, 761, 75, 700 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 851, 761, 75, 700 is 1.
Therefore, GCD of numbers 851, 761, 75, 700 is 1
Given Input Data is 851, 761, 75, 700
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 851 is 23 x 37
Prime Factorization of 761 is 761
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7
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(851, 761) = 647611
GCD(851, 761) = ( 851 x 761 ) / 647611
GCD(851, 761) = 647611 / 647611
GCD(851, 761) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 75
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 75) = 75
GCD(1, 75) = ( 1 x 75 ) / 75
GCD(1, 75) = 75 / 75
GCD(1, 75) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 700
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 700) = 700
GCD(1, 700) = ( 1 x 700 ) / 700
GCD(1, 700) = 700 / 700
GCD(1, 700) = 1
GCD of 851, 761, 75, 700 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 851, 761, 75, 700?
GCD of 851, 761, 75, 700 is 1
2. Where do I get the detailed procedure to find GCD of 851, 761, 75, 700?
You can find a detailed procedure to find GCD of 851, 761, 75, 700 on our page.
3. How to find GCD of 851, 761, 75, 700 on a calculator?
You can find the GCD of 851, 761, 75, 700 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.