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 910, 147, 208, 802 i.e. 1 largest integer that divides all the numbers equally.
GCD of 910, 147, 208, 802 is 1
GCD(910, 147, 208, 802) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 910, 147, 208, 802 is 1
GCD(910, 147, 208, 802) = 1
Given Input numbers are 910, 147, 208, 802
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 910
List of positive integer divisors of 910 that divides 910 without a remainder.
1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
Divisors of 147
List of positive integer divisors of 147 that divides 147 without a remainder.
1, 3, 7, 21, 49, 147
Divisors of 208
List of positive integer divisors of 208 that divides 208 without a remainder.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
Divisors of 802
List of positive integer divisors of 802 that divides 802 without a remainder.
1, 2, 401, 802
Greatest Common Divisior
We found the divisors of 910, 147, 208, 802 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 910, 147, 208, 802 is 1.
Therefore, GCD of numbers 910, 147, 208, 802 is 1
Given Input Data is 910, 147, 208, 802
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 910 is 2 x 5 x 7 x 13
Prime Factorization of 147 is 3 x 7 x 7
Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13
Prime Factorization of 802 is 2 x 401
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(910, 147) = 19110
GCD(910, 147) = ( 910 x 147 ) / 19110
GCD(910, 147) = 133770 / 19110
GCD(910, 147) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 208
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 208) = 1456
GCD(7, 208) = ( 7 x 208 ) / 1456
GCD(7, 208) = 1456 / 1456
GCD(7, 208) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 802
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 802) = 802
GCD(1, 802) = ( 1 x 802 ) / 802
GCD(1, 802) = 802 / 802
GCD(1, 802) = 1
GCD of 910, 147, 208, 802 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 910, 147, 208, 802?
GCD of 910, 147, 208, 802 is 1
2. Where do I get the detailed procedure to find GCD of 910, 147, 208, 802?
You can find a detailed procedure to find GCD of 910, 147, 208, 802 on our page.
3. How to find GCD of 910, 147, 208, 802 on a calculator?
You can find the GCD of 910, 147, 208, 802 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.