Online GCD Calculator is useful to find the GCD of 274, 144, 502, 989 quickly. Get the easiest ways to solve the greatest common divisor of 274, 144, 502, 989 i.e 1 in different methods as follows.
Given Input numbers are 274, 144, 502, 989
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 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 502 :
The positive integer divisors of 502 that completely divides 502 are.
1, 2, 251, 502
Divisors of 989 :
The positive integer divisors of 989 that completely divides 989 are.
1, 23, 43, 989
GCD of numbers is the greatest common divisor
So, the GCD (274, 144, 502, 989) = 1.
Given numbers are 274, 144, 502, 989
The list of prime factors of all numbers are
Prime factors of 274 are 2 x 137
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 502 are 2 x 251
Prime factors of 989 are 23 x 43
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 274, 144, 502, 989
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(274, 144) = 19728
GCD(274, 144) = ( 274 x 144 ) / 19728
= 274 / 144
= 274
Step2:
LCM(2, 502) = 502
GCD(2, 502) = ( 2 x 502 ) / 502
= 2 / 502
= 2
Step3:
LCM(2, 989) = 1978
GCD(2, 989) = ( 2 x 989 ) / 1978
= 2 / 989
= 2
So, Greatest Common Divisor of 274, 144, 502, 989 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 274, 144, 502, 989
The greatest common divisor of numbers 274, 144, 502, 989 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 274, 144, 502, 989 is 1.
1. What is the GCD of 274, 144, 502, 989?
GCD of given numbers 274, 144, 502, 989 is 1
2. How to calculate the greatest common divisor of 274, 144, 502, 989?
We can find the highest common divisor of 274, 144, 502, 989 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, 144, 502, 989 i.e 1.
3. How can I use the GCD of 274, 144, 502, 989Calculator?
Out the numbers 274, 144, 502, 989 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.