Online GCD Calculator is useful to find the GCD of 137, 199, 920, 749 quickly. Get the easiest ways to solve the greatest common divisor of 137, 199, 920, 749 i.e 1 in different methods as follows.
Given Input numbers are 137, 199, 920, 749
In the factoring method, we have to find the divisors of all numbers
Divisors of 137 :
The positive integer divisors of 137 that completely divides 137 are.
1, 137
Divisors of 199 :
The positive integer divisors of 199 that completely divides 199 are.
1, 199
Divisors of 920 :
The positive integer divisors of 920 that completely divides 920 are.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 749 :
The positive integer divisors of 749 that completely divides 749 are.
1, 7, 107, 749
GCD of numbers is the greatest common divisor
So, the GCD (137, 199, 920, 749) = 1.
Given numbers are 137, 199, 920, 749
The list of prime factors of all numbers are
Prime factors of 137 are 137
Prime factors of 199 are 199
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
Prime factors of 749 are 7 x 107
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 137, 199, 920, 749
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(137, 199) = 27263
GCD(137, 199) = ( 137 x 199 ) / 27263
= 137 / 199
= 137
Step2:
LCM(1, 920) = 920
GCD(1, 920) = ( 1 x 920 ) / 920
= 1 / 920
= 1
Step3:
LCM(1, 749) = 749
GCD(1, 749) = ( 1 x 749 ) / 749
= 1 / 749
= 1
So, Greatest Common Divisor of 137, 199, 920, 749 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 137, 199, 920, 749
The greatest common divisor of numbers 137, 199, 920, 749 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 137, 199, 920, 749 is 1.
1. What is the GCD of 137, 199, 920, 749?
GCD of given numbers 137, 199, 920, 749 is 1
2. How to calculate the greatest common divisor of 137, 199, 920, 749?
We can find the highest common divisor of 137, 199, 920, 749 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 137, 199, 920, 749 i.e 1.
3. How can I use the GCD of 137, 199, 920, 749Calculator?
Out the numbers 137, 199, 920, 749 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.