Online GCD Calculator is useful to find the GCD of 144, 658, 125, 991 quickly. Get the easiest ways to solve the greatest common divisor of 144, 658, 125, 991 i.e 1 in different methods as follows.
Given Input numbers are 144, 658, 125, 991
In the factoring method, we have to find the divisors of all numbers
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 658 :
The positive integer divisors of 658 that completely divides 658 are.
1, 2, 7, 14, 47, 94, 329, 658
Divisors of 125 :
The positive integer divisors of 125 that completely divides 125 are.
1, 5, 25, 125
Divisors of 991 :
The positive integer divisors of 991 that completely divides 991 are.
1, 991
GCD of numbers is the greatest common divisor
So, the GCD (144, 658, 125, 991) = 1.
Given numbers are 144, 658, 125, 991
The list of prime factors of all numbers are
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 658 are 2 x 7 x 47
Prime factors of 125 are 5 x 5 x 5
Prime factors of 991 are 991
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 144, 658, 125, 991
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(144, 658) = 47376
GCD(144, 658) = ( 144 x 658 ) / 47376
= 144 / 658
= 144
Step2:
LCM(2, 125) = 250
GCD(2, 125) = ( 2 x 125 ) / 250
= 2 / 125
= 2
Step3:
LCM(1, 991) = 991
GCD(1, 991) = ( 1 x 991 ) / 991
= 1 / 991
= 1
So, Greatest Common Divisor of 144, 658, 125, 991 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 144, 658, 125, 991
The greatest common divisor of numbers 144, 658, 125, 991 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 658, 125, 991 is 1.
1. What is the GCD of 144, 658, 125, 991?
GCD of given numbers 144, 658, 125, 991 is 1
2. How to calculate the greatest common divisor of 144, 658, 125, 991?
We can find the highest common divisor of 144, 658, 125, 991 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 144, 658, 125, 991 i.e 1.
3. How can I use the GCD of 144, 658, 125, 991Calculator?
Out the numbers 144, 658, 125, 991 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.