Online GCD Calculator is useful to find the GCD of 988, 940, 440, 746 quickly. Get the easiest ways to solve the greatest common divisor of 988, 940, 440, 746 i.e 2 in different methods as follows.
Given Input numbers are 988, 940, 440, 746
In the factoring method, we have to find the divisors of all numbers
Divisors of 988 :
The positive integer divisors of 988 that completely divides 988 are.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
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 440 :
The positive integer divisors of 440 that completely divides 440 are.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Divisors of 746 :
The positive integer divisors of 746 that completely divides 746 are.
1, 2, 373, 746
GCD of numbers is the greatest common divisor
So, the GCD (988, 940, 440, 746) = 2.
Given numbers are 988, 940, 440, 746
The list of prime factors of all numbers are
Prime factors of 988 are 2 x 2 x 13 x 19
Prime factors of 940 are 2 x 2 x 5 x 47
Prime factors of 440 are 2 x 2 x 2 x 5 x 11
Prime factors of 746 are 2 x 373
The highest common occurrence is 21
Therefore, GCD of 988, 940, 440, 746 is 2.
Given numbers are 988, 940, 440, 746
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(988, 940) = 232180
GCD(988, 940) = ( 988 x 940 ) / 232180
= 988 / 940
= 988
Step2:
LCM(4, 440) = 440
GCD(4, 440) = ( 4 x 440 ) / 440
= 4 / 440
= 4
Step3:
LCM(4, 746) = 1492
GCD(4, 746) = ( 4 x 746 ) / 1492
= 4 / 746
= 4
So, Greatest Common Divisor of 988, 940, 440, 746 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 988, 940, 440, 746
The greatest common divisor of numbers 988, 940, 440, 746 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 988, 940, 440, 746 is 2.
1. What is the GCD of 988, 940, 440, 746?
GCD of given numbers 988, 940, 440, 746 is 2
2. How to calculate the greatest common divisor of 988, 940, 440, 746?
We can find the highest common divisor of 988, 940, 440, 746 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 988, 940, 440, 746 i.e 2.
3. How can I use the GCD of 988, 940, 440, 746Calculator?
Out the numbers 988, 940, 440, 746 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.