Online GCD Calculator is useful to find the GCD of 203, 882, 210, 154 quickly. Get the easiest ways to solve the greatest common divisor of 203, 882, 210, 154 i.e 7 in different methods as follows.
Given Input numbers are 203, 882, 210, 154
In the factoring method, we have to find the divisors of all numbers
Divisors of 203 :
The positive integer divisors of 203 that completely divides 203 are.
1, 7, 29, 203
Divisors of 882 :
The positive integer divisors of 882 that completely divides 882 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
Divisors of 210 :
The positive integer divisors of 210 that completely divides 210 are.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Divisors of 154 :
The positive integer divisors of 154 that completely divides 154 are.
1, 2, 7, 11, 14, 22, 77, 154
GCD of numbers is the greatest common divisor
So, the GCD (203, 882, 210, 154) = 7.
Given numbers are 203, 882, 210, 154
The list of prime factors of all numbers are
Prime factors of 203 are 7 x 29
Prime factors of 882 are 2 x 3 x 3 x 7 x 7
Prime factors of 210 are 2 x 3 x 5 x 7
Prime factors of 154 are 2 x 7 x 11
The highest common occurrence is 71
Therefore, GCD of 203, 882, 210, 154 is 7.
Given numbers are 203, 882, 210, 154
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(203, 882) = 25578
GCD(203, 882) = ( 203 x 882 ) / 25578
= 203 / 882
= 203
Step2:
LCM(7, 210) = 210
GCD(7, 210) = ( 7 x 210 ) / 210
= 7 / 210
= 7
Step3:
LCM(7, 154) = 154
GCD(7, 154) = ( 7 x 154 ) / 154
= 7 / 154
= 7
So, Greatest Common Divisor of 203, 882, 210, 154 is 7
Here are some samples of GCD of Numbers calculations.
Given numbers are 203, 882, 210, 154
The greatest common divisor of numbers 203, 882, 210, 154 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 203, 882, 210, 154 is 7.
1. What is the GCD of 203, 882, 210, 154?
GCD of given numbers 203, 882, 210, 154 is 7
2. How to calculate the greatest common divisor of 203, 882, 210, 154?
We can find the highest common divisor of 203, 882, 210, 154 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 203, 882, 210, 154 i.e 7.
3. How can I use the GCD of 203, 882, 210, 154Calculator?
Out the numbers 203, 882, 210, 154 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.