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 945, 870, 265, 336 i.e. 1 largest integer that divides all the numbers equally.
GCD of 945, 870, 265, 336 is 1
GCD(945, 870, 265, 336) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 945, 870, 265, 336 is 1
GCD(945, 870, 265, 336) = 1
Given Input numbers are 945, 870, 265, 336
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 945
List of positive integer divisors of 945 that divides 945 without a remainder.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
Divisors of 870
List of positive integer divisors of 870 that divides 870 without a remainder.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
Divisors of 265
List of positive integer divisors of 265 that divides 265 without a remainder.
1, 5, 53, 265
Divisors of 336
List of positive integer divisors of 336 that divides 336 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
Greatest Common Divisior
We found the divisors of 945, 870, 265, 336 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 870, 265, 336 is 1.
Therefore, GCD of numbers 945, 870, 265, 336 is 1
Given Input Data is 945, 870, 265, 336
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7
Prime Factorization of 870 is 2 x 3 x 5 x 29
Prime Factorization of 265 is 5 x 53
Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 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(945, 870) = 54810
GCD(945, 870) = ( 945 x 870 ) / 54810
GCD(945, 870) = 822150 / 54810
GCD(945, 870) = 15
Step2:
Here we consider the GCD from the above i.e. 15 as first number and the next as 265
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(15, 265) = 795
GCD(15, 265) = ( 15 x 265 ) / 795
GCD(15, 265) = 3975 / 795
GCD(15, 265) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 336
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 336) = 1680
GCD(5, 336) = ( 5 x 336 ) / 1680
GCD(5, 336) = 1680 / 1680
GCD(5, 336) = 1
GCD of 945, 870, 265, 336 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 945, 870, 265, 336?
GCD of 945, 870, 265, 336 is 1
2. Where do I get the detailed procedure to find GCD of 945, 870, 265, 336?
You can find a detailed procedure to find GCD of 945, 870, 265, 336 on our page.
3. How to find GCD of 945, 870, 265, 336 on a calculator?
You can find the GCD of 945, 870, 265, 336 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.