Online GCD Calculator is useful to find the GCD of 850, 378, 220, 540 quickly. Get the easiest ways to solve the greatest common divisor of 850, 378, 220, 540 i.e 2 in different methods as follows.
Given Input numbers are 850, 378, 220, 540
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 220 :
The positive integer divisors of 220 that completely divides 220 are.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Divisors of 540 :
The positive integer divisors of 540 that completely divides 540 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
GCD of numbers is the greatest common divisor
So, the GCD (850, 378, 220, 540) = 2.
Given numbers are 850, 378, 220, 540
The list of prime factors of all numbers are
Prime factors of 850 are 2 x 5 x 5 x 17
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
Prime factors of 220 are 2 x 2 x 5 x 11
Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 850, 378, 220, 540 is 2.
Given numbers are 850, 378, 220, 540
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(850, 378) = 160650
GCD(850, 378) = ( 850 x 378 ) / 160650
= 850 / 378
= 850
Step2:
LCM(2, 220) = 220
GCD(2, 220) = ( 2 x 220 ) / 220
= 2 / 220
= 2
Step3:
LCM(2, 540) = 540
GCD(2, 540) = ( 2 x 540 ) / 540
= 2 / 540
= 2
So, Greatest Common Divisor of 850, 378, 220, 540 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 850, 378, 220, 540
The greatest common divisor of numbers 850, 378, 220, 540 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 850, 378, 220, 540 is 2.
1. What is the GCD of 850, 378, 220, 540?
GCD of given numbers 850, 378, 220, 540 is 2
2. How to calculate the greatest common divisor of 850, 378, 220, 540?
We can find the highest common divisor of 850, 378, 220, 540 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 850, 378, 220, 540 i.e 2.
3. How can I use the GCD of 850, 378, 220, 540Calculator?
Out the numbers 850, 378, 220, 540 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.