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 456, 562, 35, 907 i.e. 1 largest integer that divides all the numbers equally.
GCD of 456, 562, 35, 907 is 1
GCD(456, 562, 35, 907) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 456, 562, 35, 907 is 1
GCD(456, 562, 35, 907) = 1
Given Input numbers are 456, 562, 35, 907
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 456
List of positive integer divisors of 456 that divides 456 without a remainder.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Divisors of 562
List of positive integer divisors of 562 that divides 562 without a remainder.
1, 2, 281, 562
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Divisors of 907
List of positive integer divisors of 907 that divides 907 without a remainder.
1, 907
Greatest Common Divisior
We found the divisors of 456, 562, 35, 907 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 562, 35, 907 is 1.
Therefore, GCD of numbers 456, 562, 35, 907 is 1
Given Input Data is 456, 562, 35, 907
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19
Prime Factorization of 562 is 2 x 281
Prime Factorization of 35 is 5 x 7
Prime Factorization of 907 is 907
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(456, 562) = 128136
GCD(456, 562) = ( 456 x 562 ) / 128136
GCD(456, 562) = 256272 / 128136
GCD(456, 562) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 35
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 35) = 70
GCD(2, 35) = ( 2 x 35 ) / 70
GCD(2, 35) = 70 / 70
GCD(2, 35) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 907
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 907) = 907
GCD(1, 907) = ( 1 x 907 ) / 907
GCD(1, 907) = 907 / 907
GCD(1, 907) = 1
GCD of 456, 562, 35, 907 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 456, 562, 35, 907?
GCD of 456, 562, 35, 907 is 1
2. Where do I get the detailed procedure to find GCD of 456, 562, 35, 907?
You can find a detailed procedure to find GCD of 456, 562, 35, 907 on our page.
3. How to find GCD of 456, 562, 35, 907 on a calculator?
You can find the GCD of 456, 562, 35, 907 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.