Online GCD Calculator is useful to find the GCD of 220, 137, 142, 724 quickly. Get the easiest ways to solve the greatest common divisor of 220, 137, 142, 724 i.e 1 in different methods as follows.
Given Input numbers are 220, 137, 142, 724
In the factoring method, we have to find the divisors of all numbers
Divisors of 220 :
The positive integer divisors of 220 that completely divides 220 are.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Divisors of 137 :
The positive integer divisors of 137 that completely divides 137 are.
1, 137
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
GCD of numbers is the greatest common divisor
So, the GCD (220, 137, 142, 724) = 1.
Given numbers are 220, 137, 142, 724
The list of prime factors of all numbers are
Prime factors of 220 are 2 x 2 x 5 x 11
Prime factors of 137 are 137
Prime factors of 142 are 2 x 71
Prime factors of 724 are 2 x 2 x 181
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 220, 137, 142, 724
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(220, 137) = 30140
GCD(220, 137) = ( 220 x 137 ) / 30140
= 220 / 137
= 220
Step2:
LCM(1, 142) = 142
GCD(1, 142) = ( 1 x 142 ) / 142
= 1 / 142
= 1
Step3:
LCM(1, 724) = 724
GCD(1, 724) = ( 1 x 724 ) / 724
= 1 / 724
= 1
So, Greatest Common Divisor of 220, 137, 142, 724 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 220, 137, 142, 724
The greatest common divisor of numbers 220, 137, 142, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 220, 137, 142, 724 is 1.
1. What is the GCD of 220, 137, 142, 724?
GCD of given numbers 220, 137, 142, 724 is 1
2. How to calculate the greatest common divisor of 220, 137, 142, 724?
We can find the highest common divisor of 220, 137, 142, 724 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 220, 137, 142, 724 i.e 1.
3. How can I use the GCD of 220, 137, 142, 724Calculator?
Out the numbers 220, 137, 142, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.