Online GCD Calculator is useful to find the GCD of 894, 718, 802, 356 quickly. Get the easiest ways to solve the greatest common divisor of 894, 718, 802, 356 i.e 2 in different methods as follows.
Given Input numbers are 894, 718, 802, 356
In the factoring method, we have to find the divisors of all numbers
Divisors of 894 :
The positive integer divisors of 894 that completely divides 894 are.
1, 2, 3, 6, 149, 298, 447, 894
Divisors of 718 :
The positive integer divisors of 718 that completely divides 718 are.
1, 2, 359, 718
Divisors of 802 :
The positive integer divisors of 802 that completely divides 802 are.
1, 2, 401, 802
Divisors of 356 :
The positive integer divisors of 356 that completely divides 356 are.
1, 2, 4, 89, 178, 356
GCD of numbers is the greatest common divisor
So, the GCD (894, 718, 802, 356) = 2.
Given numbers are 894, 718, 802, 356
The list of prime factors of all numbers are
Prime factors of 894 are 2 x 3 x 149
Prime factors of 718 are 2 x 359
Prime factors of 802 are 2 x 401
Prime factors of 356 are 2 x 2 x 89
The highest common occurrence is 21
Therefore, GCD of 894, 718, 802, 356 is 2.
Given numbers are 894, 718, 802, 356
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(894, 718) = 320946
GCD(894, 718) = ( 894 x 718 ) / 320946
= 894 / 718
= 894
Step2:
LCM(2, 802) = 802
GCD(2, 802) = ( 2 x 802 ) / 802
= 2 / 802
= 2
Step3:
LCM(2, 356) = 356
GCD(2, 356) = ( 2 x 356 ) / 356
= 2 / 356
= 2
So, Greatest Common Divisor of 894, 718, 802, 356 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 894, 718, 802, 356
The greatest common divisor of numbers 894, 718, 802, 356 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 894, 718, 802, 356 is 2.
1. What is the GCD of 894, 718, 802, 356?
GCD of given numbers 894, 718, 802, 356 is 2
2. How to calculate the greatest common divisor of 894, 718, 802, 356?
We can find the highest common divisor of 894, 718, 802, 356 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 894, 718, 802, 356 i.e 2.
3. How can I use the GCD of 894, 718, 802, 356Calculator?
Out the numbers 894, 718, 802, 356 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.