Online GCD Calculator is useful to find the GCD of 196, 648, 420, 850 quickly. Get the easiest ways to solve the greatest common divisor of 196, 648, 420, 850 i.e 2 in different methods as follows.
Given Input numbers are 196, 648, 420, 850
In the factoring method, we have to find the divisors of all numbers
Divisors of 196 :
The positive integer divisors of 196 that completely divides 196 are.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 648 :
The positive integer divisors of 648 that completely divides 648 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
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 850 :
The positive integer divisors of 850 that completely divides 850 are.
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
GCD of numbers is the greatest common divisor
So, the GCD (196, 648, 420, 850) = 2.
Given numbers are 196, 648, 420, 850
The list of prime factors of all numbers are
Prime factors of 196 are 2 x 2 x 7 x 7
Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 850 are 2 x 5 x 5 x 17
The highest common occurrence is 21
Therefore, GCD of 196, 648, 420, 850 is 2.
Given numbers are 196, 648, 420, 850
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(196, 648) = 31752
GCD(196, 648) = ( 196 x 648 ) / 31752
= 196 / 648
= 196
Step2:
LCM(4, 420) = 420
GCD(4, 420) = ( 4 x 420 ) / 420
= 4 / 420
= 4
Step3:
LCM(4, 850) = 1700
GCD(4, 850) = ( 4 x 850 ) / 1700
= 4 / 850
= 4
So, Greatest Common Divisor of 196, 648, 420, 850 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 196, 648, 420, 850
The greatest common divisor of numbers 196, 648, 420, 850 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 196, 648, 420, 850 is 2.
1. What is the GCD of 196, 648, 420, 850?
GCD of given numbers 196, 648, 420, 850 is 2
2. How to calculate the greatest common divisor of 196, 648, 420, 850?
We can find the highest common divisor of 196, 648, 420, 850 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 196, 648, 420, 850 i.e 2.
3. How can I use the GCD of 196, 648, 420, 850Calculator?
Out the numbers 196, 648, 420, 850 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.