Online GCD Calculator is useful to find the GCD of 274, 234, 242, 143 quickly. Get the easiest ways to solve the greatest common divisor of 274, 234, 242, 143 i.e 1 in different methods as follows.
Given Input numbers are 274, 234, 242, 143
In the factoring method, we have to find the divisors of all numbers
Divisors of 274 :
The positive integer divisors of 274 that completely divides 274 are.
1, 2, 137, 274
Divisors of 234 :
The positive integer divisors of 234 that completely divides 234 are.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
Divisors of 242 :
The positive integer divisors of 242 that completely divides 242 are.
1, 2, 11, 22, 121, 242
Divisors of 143 :
The positive integer divisors of 143 that completely divides 143 are.
1, 11, 13, 143
GCD of numbers is the greatest common divisor
So, the GCD (274, 234, 242, 143) = 1.
Given numbers are 274, 234, 242, 143
The list of prime factors of all numbers are
Prime factors of 274 are 2 x 137
Prime factors of 234 are 2 x 3 x 3 x 13
Prime factors of 242 are 2 x 11 x 11
Prime factors of 143 are 11 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 274, 234, 242, 143
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(274, 234) = 32058
GCD(274, 234) = ( 274 x 234 ) / 32058
= 274 / 234
= 274
Step2:
LCM(2, 242) = 242
GCD(2, 242) = ( 2 x 242 ) / 242
= 2 / 242
= 2
Step3:
LCM(2, 143) = 286
GCD(2, 143) = ( 2 x 143 ) / 286
= 2 / 143
= 2
So, Greatest Common Divisor of 274, 234, 242, 143 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 274, 234, 242, 143
The greatest common divisor of numbers 274, 234, 242, 143 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 274, 234, 242, 143 is 1.
1. What is the GCD of 274, 234, 242, 143?
GCD of given numbers 274, 234, 242, 143 is 1
2. How to calculate the greatest common divisor of 274, 234, 242, 143?
We can find the highest common divisor of 274, 234, 242, 143 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 274, 234, 242, 143 i.e 1.
3. How can I use the GCD of 274, 234, 242, 143Calculator?
Out the numbers 274, 234, 242, 143 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.