Online GCD Calculator is useful to find the GCD of 722, 940, 684, 902 quickly. Get the easiest ways to solve the greatest common divisor of 722, 940, 684, 902 i.e 2 in different methods as follows.
Given Input numbers are 722, 940, 684, 902
In the factoring method, we have to find the divisors of all numbers
Divisors of 722 :
The positive integer divisors of 722 that completely divides 722 are.
1, 2, 19, 38, 361, 722
Divisors of 940 :
The positive integer divisors of 940 that completely divides 940 are.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 902 :
The positive integer divisors of 902 that completely divides 902 are.
1, 2, 11, 22, 41, 82, 451, 902
GCD of numbers is the greatest common divisor
So, the GCD (722, 940, 684, 902) = 2.
Given numbers are 722, 940, 684, 902
The list of prime factors of all numbers are
Prime factors of 722 are 2 x 19 x 19
Prime factors of 940 are 2 x 2 x 5 x 47
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 902 are 2 x 11 x 41
The highest common occurrence is 21
Therefore, GCD of 722, 940, 684, 902 is 2.
Given numbers are 722, 940, 684, 902
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(722, 940) = 339340
GCD(722, 940) = ( 722 x 940 ) / 339340
= 722 / 940
= 722
Step2:
LCM(2, 684) = 684
GCD(2, 684) = ( 2 x 684 ) / 684
= 2 / 684
= 2
Step3:
LCM(2, 902) = 902
GCD(2, 902) = ( 2 x 902 ) / 902
= 2 / 902
= 2
So, Greatest Common Divisor of 722, 940, 684, 902 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 722, 940, 684, 902
The greatest common divisor of numbers 722, 940, 684, 902 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 722, 940, 684, 902 is 2.
1. What is the GCD of 722, 940, 684, 902?
GCD of given numbers 722, 940, 684, 902 is 2
2. How to calculate the greatest common divisor of 722, 940, 684, 902?
We can find the highest common divisor of 722, 940, 684, 902 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 722, 940, 684, 902 i.e 2.
3. How can I use the GCD of 722, 940, 684, 902Calculator?
Out the numbers 722, 940, 684, 902 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.