Online GCD Calculator is useful to find the GCD of 302, 834, 448, 702 quickly. Get the easiest ways to solve the greatest common divisor of 302, 834, 448, 702 i.e 2 in different methods as follows.
Given Input numbers are 302, 834, 448, 702
In the factoring method, we have to find the divisors of all numbers
Divisors of 302 :
The positive integer divisors of 302 that completely divides 302 are.
1, 2, 151, 302
Divisors of 834 :
The positive integer divisors of 834 that completely divides 834 are.
1, 2, 3, 6, 139, 278, 417, 834
Divisors of 448 :
The positive integer divisors of 448 that completely divides 448 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
Divisors of 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
GCD of numbers is the greatest common divisor
So, the GCD (302, 834, 448, 702) = 2.
Given numbers are 302, 834, 448, 702
The list of prime factors of all numbers are
Prime factors of 302 are 2 x 151
Prime factors of 834 are 2 x 3 x 139
Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
The highest common occurrence is 21
Therefore, GCD of 302, 834, 448, 702 is 2.
Given numbers are 302, 834, 448, 702
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(302, 834) = 125934
GCD(302, 834) = ( 302 x 834 ) / 125934
= 302 / 834
= 302
Step2:
LCM(2, 448) = 448
GCD(2, 448) = ( 2 x 448 ) / 448
= 2 / 448
= 2
Step3:
LCM(2, 702) = 702
GCD(2, 702) = ( 2 x 702 ) / 702
= 2 / 702
= 2
So, Greatest Common Divisor of 302, 834, 448, 702 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 302, 834, 448, 702
The greatest common divisor of numbers 302, 834, 448, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 302, 834, 448, 702 is 2.
1. What is the GCD of 302, 834, 448, 702?
GCD of given numbers 302, 834, 448, 702 is 2
2. How to calculate the greatest common divisor of 302, 834, 448, 702?
We can find the highest common divisor of 302, 834, 448, 702 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 302, 834, 448, 702 i.e 2.
3. How can I use the GCD of 302, 834, 448, 702Calculator?
Out the numbers 302, 834, 448, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.