Online GCD Calculator is useful to find the GCD of 802, 316, 894, 134 quickly. Get the easiest ways to solve the greatest common divisor of 802, 316, 894, 134 i.e 2 in different methods as follows.
Given Input numbers are 802, 316, 894, 134
In the factoring method, we have to find the divisors of all numbers
Divisors of 802 :
The positive integer divisors of 802 that completely divides 802 are.
1, 2, 401, 802
Divisors of 316 :
The positive integer divisors of 316 that completely divides 316 are.
1, 2, 4, 79, 158, 316
Divisors of 894 :
The positive integer divisors of 894 that completely divides 894 are.
1, 2, 3, 6, 149, 298, 447, 894
Divisors of 134 :
The positive integer divisors of 134 that completely divides 134 are.
1, 2, 67, 134
GCD of numbers is the greatest common divisor
So, the GCD (802, 316, 894, 134) = 2.
Given numbers are 802, 316, 894, 134
The list of prime factors of all numbers are
Prime factors of 802 are 2 x 401
Prime factors of 316 are 2 x 2 x 79
Prime factors of 894 are 2 x 3 x 149
Prime factors of 134 are 2 x 67
The highest common occurrence is 21
Therefore, GCD of 802, 316, 894, 134 is 2.
Given numbers are 802, 316, 894, 134
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(802, 316) = 126716
GCD(802, 316) = ( 802 x 316 ) / 126716
= 802 / 316
= 802
Step2:
LCM(2, 894) = 894
GCD(2, 894) = ( 2 x 894 ) / 894
= 2 / 894
= 2
Step3:
LCM(2, 134) = 134
GCD(2, 134) = ( 2 x 134 ) / 134
= 2 / 134
= 2
So, Greatest Common Divisor of 802, 316, 894, 134 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 802, 316, 894, 134
The greatest common divisor of numbers 802, 316, 894, 134 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 802, 316, 894, 134 is 2.
1. What is the GCD of 802, 316, 894, 134?
GCD of given numbers 802, 316, 894, 134 is 2
2. How to calculate the greatest common divisor of 802, 316, 894, 134?
We can find the highest common divisor of 802, 316, 894, 134 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 802, 316, 894, 134 i.e 2.
3. How can I use the GCD of 802, 316, 894, 134Calculator?
Out the numbers 802, 316, 894, 134 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.