Online GCD Calculator is useful to find the GCD of 705, 270, 980, 299 quickly. Get the easiest ways to solve the greatest common divisor of 705, 270, 980, 299 i.e 1 in different methods as follows.
Given Input numbers are 705, 270, 980, 299
In the factoring method, we have to find the divisors of all numbers
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
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 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 299 :
The positive integer divisors of 299 that completely divides 299 are.
1, 13, 23, 299
GCD of numbers is the greatest common divisor
So, the GCD (705, 270, 980, 299) = 1.
Given numbers are 705, 270, 980, 299
The list of prime factors of all numbers are
Prime factors of 705 are 3 x 5 x 47
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 980 are 2 x 2 x 5 x 7 x 7
Prime factors of 299 are 13 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 705, 270, 980, 299
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(705, 270) = 12690
GCD(705, 270) = ( 705 x 270 ) / 12690
= 705 / 270
= 705
Step2:
LCM(15, 980) = 2940
GCD(15, 980) = ( 15 x 980 ) / 2940
= 15 / 980
= 15
Step3:
LCM(5, 299) = 1495
GCD(5, 299) = ( 5 x 299 ) / 1495
= 5 / 299
= 5
So, Greatest Common Divisor of 705, 270, 980, 299 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 705, 270, 980, 299
The greatest common divisor of numbers 705, 270, 980, 299 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 270, 980, 299 is 1.
1. What is the GCD of 705, 270, 980, 299?
GCD of given numbers 705, 270, 980, 299 is 1
2. How to calculate the greatest common divisor of 705, 270, 980, 299?
We can find the highest common divisor of 705, 270, 980, 299 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 705, 270, 980, 299 i.e 1.
3. How can I use the GCD of 705, 270, 980, 299Calculator?
Out the numbers 705, 270, 980, 299 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.