Online GCD Calculator is useful to find the GCD of 836, 693, 253, 440 quickly. Get the easiest ways to solve the greatest common divisor of 836, 693, 253, 440 i.e 11 in different methods as follows.
Given Input numbers are 836, 693, 253, 440
In the factoring method, we have to find the divisors of all numbers
Divisors of 836 :
The positive integer divisors of 836 that completely divides 836 are.
1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
Divisors of 693 :
The positive integer divisors of 693 that completely divides 693 are.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
Divisors of 253 :
The positive integer divisors of 253 that completely divides 253 are.
1, 11, 23, 253
Divisors of 440 :
The positive integer divisors of 440 that completely divides 440 are.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
GCD of numbers is the greatest common divisor
So, the GCD (836, 693, 253, 440) = 11.
Given numbers are 836, 693, 253, 440
The list of prime factors of all numbers are
Prime factors of 836 are 2 x 2 x 11 x 19
Prime factors of 693 are 3 x 3 x 7 x 11
Prime factors of 253 are 11 x 23
Prime factors of 440 are 2 x 2 x 2 x 5 x 11
The highest common occurrence is 111
Therefore, GCD of 836, 693, 253, 440 is 11.
Given numbers are 836, 693, 253, 440
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(836, 693) = 52668
GCD(836, 693) = ( 836 x 693 ) / 52668
= 836 / 693
= 836
Step2:
LCM(11, 253) = 253
GCD(11, 253) = ( 11 x 253 ) / 253
= 11 / 253
= 11
Step3:
LCM(11, 440) = 440
GCD(11, 440) = ( 11 x 440 ) / 440
= 11 / 440
= 11
So, Greatest Common Divisor of 836, 693, 253, 440 is 11
Here are some samples of GCD of Numbers calculations.
Given numbers are 836, 693, 253, 440
The greatest common divisor of numbers 836, 693, 253, 440 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 836, 693, 253, 440 is 11.
1. What is the GCD of 836, 693, 253, 440?
GCD of given numbers 836, 693, 253, 440 is 11
2. How to calculate the greatest common divisor of 836, 693, 253, 440?
We can find the highest common divisor of 836, 693, 253, 440 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 836, 693, 253, 440 i.e 11.
3. How can I use the GCD of 836, 693, 253, 440Calculator?
Out the numbers 836, 693, 253, 440 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.