Online GCD Calculator is useful to find the GCD of 268, 368, 252, 898 quickly. Get the easiest ways to solve the greatest common divisor of 268, 368, 252, 898 i.e 2 in different methods as follows.
Given Input numbers are 268, 368, 252, 898
In the factoring method, we have to find the divisors of all numbers
Divisors of 268 :
The positive integer divisors of 268 that completely divides 268 are.
1, 2, 4, 67, 134, 268
Divisors of 368 :
The positive integer divisors of 368 that completely divides 368 are.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
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
Divisors of 898 :
The positive integer divisors of 898 that completely divides 898 are.
1, 2, 449, 898
GCD of numbers is the greatest common divisor
So, the GCD (268, 368, 252, 898) = 2.
Given numbers are 268, 368, 252, 898
The list of prime factors of all numbers are
Prime factors of 268 are 2 x 2 x 67
Prime factors of 368 are 2 x 2 x 2 x 2 x 23
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
Prime factors of 898 are 2 x 449
The highest common occurrence is 21
Therefore, GCD of 268, 368, 252, 898 is 2.
Given numbers are 268, 368, 252, 898
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(268, 368) = 24656
GCD(268, 368) = ( 268 x 368 ) / 24656
= 268 / 368
= 268
Step2:
LCM(4, 252) = 252
GCD(4, 252) = ( 4 x 252 ) / 252
= 4 / 252
= 4
Step3:
LCM(4, 898) = 1796
GCD(4, 898) = ( 4 x 898 ) / 1796
= 4 / 898
= 4
So, Greatest Common Divisor of 268, 368, 252, 898 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 268, 368, 252, 898
The greatest common divisor of numbers 268, 368, 252, 898 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 268, 368, 252, 898 is 2.
1. What is the GCD of 268, 368, 252, 898?
GCD of given numbers 268, 368, 252, 898 is 2
2. How to calculate the greatest common divisor of 268, 368, 252, 898?
We can find the highest common divisor of 268, 368, 252, 898 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 268, 368, 252, 898 i.e 2.
3. How can I use the GCD of 268, 368, 252, 898Calculator?
Out the numbers 268, 368, 252, 898 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.