Online GCD Calculator is useful to find the GCD of 737, 220, 286, 338 quickly. Get the easiest ways to solve the greatest common divisor of 737, 220, 286, 338 i.e 1 in different methods as follows.
Given Input numbers are 737, 220, 286, 338
In the factoring method, we have to find the divisors of all numbers
Divisors of 737 :
The positive integer divisors of 737 that completely divides 737 are.
1, 11, 67, 737
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 286 :
The positive integer divisors of 286 that completely divides 286 are.
1, 2, 11, 13, 22, 26, 143, 286
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
GCD of numbers is the greatest common divisor
So, the GCD (737, 220, 286, 338) = 1.
Given numbers are 737, 220, 286, 338
The list of prime factors of all numbers are
Prime factors of 737 are 11 x 67
Prime factors of 220 are 2 x 2 x 5 x 11
Prime factors of 286 are 2 x 11 x 13
Prime factors of 338 are 2 x 13 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 737, 220, 286, 338
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(737, 220) = 14740
GCD(737, 220) = ( 737 x 220 ) / 14740
= 737 / 220
= 737
Step2:
LCM(11, 286) = 286
GCD(11, 286) = ( 11 x 286 ) / 286
= 11 / 286
= 11
Step3:
LCM(11, 338) = 3718
GCD(11, 338) = ( 11 x 338 ) / 3718
= 11 / 338
= 11
So, Greatest Common Divisor of 737, 220, 286, 338 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 737, 220, 286, 338
The greatest common divisor of numbers 737, 220, 286, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 737, 220, 286, 338 is 1.
1. What is the GCD of 737, 220, 286, 338?
GCD of given numbers 737, 220, 286, 338 is 1
2. How to calculate the greatest common divisor of 737, 220, 286, 338?
We can find the highest common divisor of 737, 220, 286, 338 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 737, 220, 286, 338 i.e 1.
3. How can I use the GCD of 737, 220, 286, 338Calculator?
Out the numbers 737, 220, 286, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.