Online GCD Calculator is useful to find the GCD of 420, 126, 892, 222 quickly. Get the easiest ways to solve the greatest common divisor of 420, 126, 892, 222 i.e 2 in different methods as follows.
Given Input numbers are 420, 126, 892, 222
In the factoring method, we have to find the divisors of all numbers
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 126 :
The positive integer divisors of 126 that completely divides 126 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 892 :
The positive integer divisors of 892 that completely divides 892 are.
1, 2, 4, 223, 446, 892
Divisors of 222 :
The positive integer divisors of 222 that completely divides 222 are.
1, 2, 3, 6, 37, 74, 111, 222
GCD of numbers is the greatest common divisor
So, the GCD (420, 126, 892, 222) = 2.
Given numbers are 420, 126, 892, 222
The list of prime factors of all numbers are
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 126 are 2 x 3 x 3 x 7
Prime factors of 892 are 2 x 2 x 223
Prime factors of 222 are 2 x 3 x 37
The highest common occurrence is 21
Therefore, GCD of 420, 126, 892, 222 is 2.
Given numbers are 420, 126, 892, 222
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(420, 126) = 1260
GCD(420, 126) = ( 420 x 126 ) / 1260
= 420 / 126
= 420
Step2:
LCM(42, 892) = 18732
GCD(42, 892) = ( 42 x 892 ) / 18732
= 42 / 892
= 42
Step3:
LCM(2, 222) = 222
GCD(2, 222) = ( 2 x 222 ) / 222
= 2 / 222
= 2
So, Greatest Common Divisor of 420, 126, 892, 222 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 420, 126, 892, 222
The greatest common divisor of numbers 420, 126, 892, 222 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 126, 892, 222 is 2.
1. What is the GCD of 420, 126, 892, 222?
GCD of given numbers 420, 126, 892, 222 is 2
2. How to calculate the greatest common divisor of 420, 126, 892, 222?
We can find the highest common divisor of 420, 126, 892, 222 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 420, 126, 892, 222 i.e 2.
3. How can I use the GCD of 420, 126, 892, 222Calculator?
Out the numbers 420, 126, 892, 222 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.