Online GCD Calculator is useful to find the GCD of 424, 497, 72, 142 quickly. Get the easiest ways to solve the greatest common divisor of 424, 497, 72, 142 i.e 1 in different methods as follows.
Given Input numbers are 424, 497, 72, 142
In the factoring method, we have to find the divisors of all numbers
Divisors of 424 :
The positive integer divisors of 424 that completely divides 424 are.
1, 2, 4, 8, 53, 106, 212, 424
Divisors of 497 :
The positive integer divisors of 497 that completely divides 497 are.
1, 7, 71, 497
Divisors of 72 :
The positive integer divisors of 72 that completely divides 72 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
GCD of numbers is the greatest common divisor
So, the GCD (424, 497, 72, 142) = 1.
Given numbers are 424, 497, 72, 142
The list of prime factors of all numbers are
Prime factors of 424 are 2 x 2 x 2 x 53
Prime factors of 497 are 7 x 71
Prime factors of 72 are 2 x 2 x 2 x 3 x 3
Prime factors of 142 are 2 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 424, 497, 72, 142
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(424, 497) = 210728
GCD(424, 497) = ( 424 x 497 ) / 210728
= 424 / 497
= 424
Step2:
LCM(1, 72) = 72
GCD(1, 72) = ( 1 x 72 ) / 72
= 1 / 72
= 1
Step3:
LCM(1, 142) = 142
GCD(1, 142) = ( 1 x 142 ) / 142
= 1 / 142
= 1
So, Greatest Common Divisor of 424, 497, 72, 142 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 424, 497, 72, 142
The greatest common divisor of numbers 424, 497, 72, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 424, 497, 72, 142 is 1.
1. What is the GCD of 424, 497, 72, 142?
GCD of given numbers 424, 497, 72, 142 is 1
2. How to calculate the greatest common divisor of 424, 497, 72, 142?
We can find the highest common divisor of 424, 497, 72, 142 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 424, 497, 72, 142 i.e 1.
3. How can I use the GCD of 424, 497, 72, 142Calculator?
Out the numbers 424, 497, 72, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.