Online GCD Calculator is useful to find the GCD of 350, 102, 168, 252 quickly. Get the easiest ways to solve the greatest common divisor of 350, 102, 168, 252 i.e 2 in different methods as follows.
Given Input numbers are 350, 102, 168, 252
In the factoring method, we have to find the divisors of all numbers
Divisors of 350 :
The positive integer divisors of 350 that completely divides 350 are.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Divisors of 102 :
The positive integer divisors of 102 that completely divides 102 are.
1, 2, 3, 6, 17, 34, 51, 102
Divisors of 168 :
The positive integer divisors of 168 that completely divides 168 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 252 :
The positive integer divisors of 252 that completely divides 252 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
GCD of numbers is the greatest common divisor
So, the GCD (350, 102, 168, 252) = 2.
Given numbers are 350, 102, 168, 252
The list of prime factors of all numbers are
Prime factors of 350 are 2 x 5 x 5 x 7
Prime factors of 102 are 2 x 3 x 17
Prime factors of 168 are 2 x 2 x 2 x 3 x 7
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
The highest common occurrence is 21
Therefore, GCD of 350, 102, 168, 252 is 2.
Given numbers are 350, 102, 168, 252
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(350, 102) = 17850
GCD(350, 102) = ( 350 x 102 ) / 17850
= 350 / 102
= 350
Step2:
LCM(2, 168) = 168
GCD(2, 168) = ( 2 x 168 ) / 168
= 2 / 168
= 2
Step3:
LCM(2, 252) = 252
GCD(2, 252) = ( 2 x 252 ) / 252
= 2 / 252
= 2
So, Greatest Common Divisor of 350, 102, 168, 252 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 350, 102, 168, 252
The greatest common divisor of numbers 350, 102, 168, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 350, 102, 168, 252 is 2.
1. What is the GCD of 350, 102, 168, 252?
GCD of given numbers 350, 102, 168, 252 is 2
2. How to calculate the greatest common divisor of 350, 102, 168, 252?
We can find the highest common divisor of 350, 102, 168, 252 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 350, 102, 168, 252 i.e 2.
3. How can I use the GCD of 350, 102, 168, 252Calculator?
Out the numbers 350, 102, 168, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.