Online GCD Calculator is useful to find the GCD of 736, 550, 118, 312 quickly. Get the easiest ways to solve the greatest common divisor of 736, 550, 118, 312 i.e 2 in different methods as follows.
Given Input numbers are 736, 550, 118, 312
In the factoring method, we have to find the divisors of all numbers
Divisors of 736 :
The positive integer divisors of 736 that completely divides 736 are.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
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 118 :
The positive integer divisors of 118 that completely divides 118 are.
1, 2, 59, 118
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
GCD of numbers is the greatest common divisor
So, the GCD (736, 550, 118, 312) = 2.
Given numbers are 736, 550, 118, 312
The list of prime factors of all numbers are
Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23
Prime factors of 550 are 2 x 5 x 5 x 11
Prime factors of 118 are 2 x 59
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
The highest common occurrence is 21
Therefore, GCD of 736, 550, 118, 312 is 2.
Given numbers are 736, 550, 118, 312
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(736, 550) = 202400
GCD(736, 550) = ( 736 x 550 ) / 202400
= 736 / 550
= 736
Step2:
LCM(2, 118) = 118
GCD(2, 118) = ( 2 x 118 ) / 118
= 2 / 118
= 2
Step3:
LCM(2, 312) = 312
GCD(2, 312) = ( 2 x 312 ) / 312
= 2 / 312
= 2
So, Greatest Common Divisor of 736, 550, 118, 312 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 736, 550, 118, 312
The greatest common divisor of numbers 736, 550, 118, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 736, 550, 118, 312 is 2.
1. What is the GCD of 736, 550, 118, 312?
GCD of given numbers 736, 550, 118, 312 is 2
2. How to calculate the greatest common divisor of 736, 550, 118, 312?
We can find the highest common divisor of 736, 550, 118, 312 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 736, 550, 118, 312 i.e 2.
3. How can I use the GCD of 736, 550, 118, 312Calculator?
Out the numbers 736, 550, 118, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.