Online GCD Calculator is useful to find the GCD of 222, 918, 676, 140 quickly. Get the easiest ways to solve the greatest common divisor of 222, 918, 676, 140 i.e 2 in different methods as follows.
Given Input numbers are 222, 918, 676, 140
In the factoring method, we have to find the divisors of all numbers
Divisors of 222 :
The positive integer divisors of 222 that completely divides 222 are.
1, 2, 3, 6, 37, 74, 111, 222
Divisors of 918 :
The positive integer divisors of 918 that completely divides 918 are.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 676 :
The positive integer divisors of 676 that completely divides 676 are.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
GCD of numbers is the greatest common divisor
So, the GCD (222, 918, 676, 140) = 2.
Given numbers are 222, 918, 676, 140
The list of prime factors of all numbers are
Prime factors of 222 are 2 x 3 x 37
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
Prime factors of 676 are 2 x 2 x 13 x 13
Prime factors of 140 are 2 x 2 x 5 x 7
The highest common occurrence is 21
Therefore, GCD of 222, 918, 676, 140 is 2.
Given numbers are 222, 918, 676, 140
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(222, 918) = 33966
GCD(222, 918) = ( 222 x 918 ) / 33966
= 222 / 918
= 222
Step2:
LCM(6, 676) = 2028
GCD(6, 676) = ( 6 x 676 ) / 2028
= 6 / 676
= 6
Step3:
LCM(2, 140) = 140
GCD(2, 140) = ( 2 x 140 ) / 140
= 2 / 140
= 2
So, Greatest Common Divisor of 222, 918, 676, 140 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 222, 918, 676, 140
The greatest common divisor of numbers 222, 918, 676, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 222, 918, 676, 140 is 2.
1. What is the GCD of 222, 918, 676, 140?
GCD of given numbers 222, 918, 676, 140 is 2
2. How to calculate the greatest common divisor of 222, 918, 676, 140?
We can find the highest common divisor of 222, 918, 676, 140 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 222, 918, 676, 140 i.e 2.
3. How can I use the GCD of 222, 918, 676, 140Calculator?
Out the numbers 222, 918, 676, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.