Online GCD Calculator is useful to find the GCD of 298, 270, 977, 307 quickly. Get the easiest ways to solve the greatest common divisor of 298, 270, 977, 307 i.e 1 in different methods as follows.
Given Input numbers are 298, 270, 977, 307
In the factoring method, we have to find the divisors of all numbers
Divisors of 298 :
The positive integer divisors of 298 that completely divides 298 are.
1, 2, 149, 298
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 977 :
The positive integer divisors of 977 that completely divides 977 are.
1, 977
Divisors of 307 :
The positive integer divisors of 307 that completely divides 307 are.
1, 307
GCD of numbers is the greatest common divisor
So, the GCD (298, 270, 977, 307) = 1.
Given numbers are 298, 270, 977, 307
The list of prime factors of all numbers are
Prime factors of 298 are 2 x 149
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 977 are 977
Prime factors of 307 are 307
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 298, 270, 977, 307
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(298, 270) = 40230
GCD(298, 270) = ( 298 x 270 ) / 40230
= 298 / 270
= 298
Step2:
LCM(2, 977) = 1954
GCD(2, 977) = ( 2 x 977 ) / 1954
= 2 / 977
= 2
Step3:
LCM(1, 307) = 307
GCD(1, 307) = ( 1 x 307 ) / 307
= 1 / 307
= 1
So, Greatest Common Divisor of 298, 270, 977, 307 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 298, 270, 977, 307
The greatest common divisor of numbers 298, 270, 977, 307 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 298, 270, 977, 307 is 1.
1. What is the GCD of 298, 270, 977, 307?
GCD of given numbers 298, 270, 977, 307 is 1
2. How to calculate the greatest common divisor of 298, 270, 977, 307?
We can find the highest common divisor of 298, 270, 977, 307 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 298, 270, 977, 307 i.e 1.
3. How can I use the GCD of 298, 270, 977, 307Calculator?
Out the numbers 298, 270, 977, 307 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.