Online GCD Calculator is useful to find the GCD of 137, 294, 262, 269 quickly. Get the easiest ways to solve the greatest common divisor of 137, 294, 262, 269 i.e 1 in different methods as follows.
Given Input numbers are 137, 294, 262, 269
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 294 :
The positive integer divisors of 294 that completely divides 294 are.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
Divisors of 262 :
The positive integer divisors of 262 that completely divides 262 are.
1, 2, 131, 262
Divisors of 269 :
The positive integer divisors of 269 that completely divides 269 are.
1, 269
GCD of numbers is the greatest common divisor
So, the GCD (137, 294, 262, 269) = 1.
Given numbers are 137, 294, 262, 269
The list of prime factors of all numbers are
Prime factors of 137 are 137
Prime factors of 294 are 2 x 3 x 7 x 7
Prime factors of 262 are 2 x 131
Prime factors of 269 are 269
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 137, 294, 262, 269
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(137, 294) = 40278
GCD(137, 294) = ( 137 x 294 ) / 40278
= 137 / 294
= 137
Step2:
LCM(1, 262) = 262
GCD(1, 262) = ( 1 x 262 ) / 262
= 1 / 262
= 1
Step3:
LCM(1, 269) = 269
GCD(1, 269) = ( 1 x 269 ) / 269
= 1 / 269
= 1
So, Greatest Common Divisor of 137, 294, 262, 269 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 137, 294, 262, 269
The greatest common divisor of numbers 137, 294, 262, 269 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 137, 294, 262, 269 is 1.
1. What is the GCD of 137, 294, 262, 269?
GCD of given numbers 137, 294, 262, 269 is 1
2. How to calculate the greatest common divisor of 137, 294, 262, 269?
We can find the highest common divisor of 137, 294, 262, 269 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, 294, 262, 269 i.e 1.
3. How can I use the GCD of 137, 294, 262, 269Calculator?
Out the numbers 137, 294, 262, 269 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.