Online GCD Calculator is useful to find the GCD of 510, 980, 137, 272 quickly. Get the easiest ways to solve the greatest common divisor of 510, 980, 137, 272 i.e 1 in different methods as follows.
Given Input numbers are 510, 980, 137, 272
In the factoring method, we have to find the divisors of all numbers
Divisors of 510 :
The positive integer divisors of 510 that completely divides 510 are.
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
Divisors of 980 :
The positive integer divisors of 980 that completely divides 980 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
Divisors of 137 :
The positive integer divisors of 137 that completely divides 137 are.
1, 137
Divisors of 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
GCD of numbers is the greatest common divisor
So, the GCD (510, 980, 137, 272) = 1.
Given numbers are 510, 980, 137, 272
The list of prime factors of all numbers are
Prime factors of 510 are 2 x 3 x 5 x 17
Prime factors of 980 are 2 x 2 x 5 x 7 x 7
Prime factors of 137 are 137
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 510, 980, 137, 272
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(510, 980) = 49980
GCD(510, 980) = ( 510 x 980 ) / 49980
= 510 / 980
= 510
Step2:
LCM(10, 137) = 1370
GCD(10, 137) = ( 10 x 137 ) / 1370
= 10 / 137
= 10
Step3:
LCM(1, 272) = 272
GCD(1, 272) = ( 1 x 272 ) / 272
= 1 / 272
= 1
So, Greatest Common Divisor of 510, 980, 137, 272 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 510, 980, 137, 272
The greatest common divisor of numbers 510, 980, 137, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 510, 980, 137, 272 is 1.
1. What is the GCD of 510, 980, 137, 272?
GCD of given numbers 510, 980, 137, 272 is 1
2. How to calculate the greatest common divisor of 510, 980, 137, 272?
We can find the highest common divisor of 510, 980, 137, 272 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 510, 980, 137, 272 i.e 1.
3. How can I use the GCD of 510, 980, 137, 272Calculator?
Out the numbers 510, 980, 137, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.