Online GCD Calculator is useful to find the GCD of 940, 490, 550, 985 quickly. Get the easiest ways to solve the greatest common divisor of 940, 490, 550, 985 i.e 5 in different methods as follows.
Given Input numbers are 940, 490, 550, 985
In the factoring method, we have to find the divisors of all numbers
Divisors of 940 :
The positive integer divisors of 940 that completely divides 940 are.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Divisors of 490 :
The positive integer divisors of 490 that completely divides 490 are.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
Divisors of 550 :
The positive integer divisors of 550 that completely divides 550 are.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
Divisors of 985 :
The positive integer divisors of 985 that completely divides 985 are.
1, 5, 197, 985
GCD of numbers is the greatest common divisor
So, the GCD (940, 490, 550, 985) = 5.
Given numbers are 940, 490, 550, 985
The list of prime factors of all numbers are
Prime factors of 940 are 2 x 2 x 5 x 47
Prime factors of 490 are 2 x 5 x 7 x 7
Prime factors of 550 are 2 x 5 x 5 x 11
Prime factors of 985 are 5 x 197
The highest common occurrence is 51
Therefore, GCD of 940, 490, 550, 985 is 5.
Given numbers are 940, 490, 550, 985
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(940, 490) = 46060
GCD(940, 490) = ( 940 x 490 ) / 46060
= 940 / 490
= 940
Step2:
LCM(10, 550) = 550
GCD(10, 550) = ( 10 x 550 ) / 550
= 10 / 550
= 10
Step3:
LCM(10, 985) = 1970
GCD(10, 985) = ( 10 x 985 ) / 1970
= 10 / 985
= 10
So, Greatest Common Divisor of 940, 490, 550, 985 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 940, 490, 550, 985
The greatest common divisor of numbers 940, 490, 550, 985 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 940, 490, 550, 985 is 5.
1. What is the GCD of 940, 490, 550, 985?
GCD of given numbers 940, 490, 550, 985 is 5
2. How to calculate the greatest common divisor of 940, 490, 550, 985?
We can find the highest common divisor of 940, 490, 550, 985 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 940, 490, 550, 985 i.e 5.
3. How can I use the GCD of 940, 490, 550, 985Calculator?
Out the numbers 940, 490, 550, 985 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.