Online GCD Calculator is useful to find the GCD of 852, 274, 826, 200 quickly. Get the easiest ways to solve the greatest common divisor of 852, 274, 826, 200 i.e 2 in different methods as follows.
Given Input numbers are 852, 274, 826, 200
In the factoring method, we have to find the divisors of all numbers
Divisors of 852 :
The positive integer divisors of 852 that completely divides 852 are.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 274 :
The positive integer divisors of 274 that completely divides 274 are.
1, 2, 137, 274
Divisors of 826 :
The positive integer divisors of 826 that completely divides 826 are.
1, 2, 7, 14, 59, 118, 413, 826
Divisors of 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
GCD of numbers is the greatest common divisor
So, the GCD (852, 274, 826, 200) = 2.
Given numbers are 852, 274, 826, 200
The list of prime factors of all numbers are
Prime factors of 852 are 2 x 2 x 3 x 71
Prime factors of 274 are 2 x 137
Prime factors of 826 are 2 x 7 x 59
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 852, 274, 826, 200 is 2.
Given numbers are 852, 274, 826, 200
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(852, 274) = 116724
GCD(852, 274) = ( 852 x 274 ) / 116724
= 852 / 274
= 852
Step2:
LCM(2, 826) = 826
GCD(2, 826) = ( 2 x 826 ) / 826
= 2 / 826
= 2
Step3:
LCM(2, 200) = 200
GCD(2, 200) = ( 2 x 200 ) / 200
= 2 / 200
= 2
So, Greatest Common Divisor of 852, 274, 826, 200 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 852, 274, 826, 200
The greatest common divisor of numbers 852, 274, 826, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 274, 826, 200 is 2.
1. What is the GCD of 852, 274, 826, 200?
GCD of given numbers 852, 274, 826, 200 is 2
2. How to calculate the greatest common divisor of 852, 274, 826, 200?
We can find the highest common divisor of 852, 274, 826, 200 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 852, 274, 826, 200 i.e 2.
3. How can I use the GCD of 852, 274, 826, 200Calculator?
Out the numbers 852, 274, 826, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.