Online GCD Calculator is useful to find the GCD of 150, 770, 209, 980 quickly. Get the easiest ways to solve the greatest common divisor of 150, 770, 209, 980 i.e 1 in different methods as follows.
Given Input numbers are 150, 770, 209, 980
In the factoring method, we have to find the divisors of all numbers
Divisors of 150 :
The positive integer divisors of 150 that completely divides 150 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Divisors of 770 :
The positive integer divisors of 770 that completely divides 770 are.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Divisors of 209 :
The positive integer divisors of 209 that completely divides 209 are.
1, 11, 19, 209
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
GCD of numbers is the greatest common divisor
So, the GCD (150, 770, 209, 980) = 1.
Given numbers are 150, 770, 209, 980
The list of prime factors of all numbers are
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 770 are 2 x 5 x 7 x 11
Prime factors of 209 are 11 x 19
Prime factors of 980 are 2 x 2 x 5 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 150, 770, 209, 980
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(150, 770) = 11550
GCD(150, 770) = ( 150 x 770 ) / 11550
= 150 / 770
= 150
Step2:
LCM(10, 209) = 2090
GCD(10, 209) = ( 10 x 209 ) / 2090
= 10 / 209
= 10
Step3:
LCM(1, 980) = 980
GCD(1, 980) = ( 1 x 980 ) / 980
= 1 / 980
= 1
So, Greatest Common Divisor of 150, 770, 209, 980 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 150, 770, 209, 980
The greatest common divisor of numbers 150, 770, 209, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 770, 209, 980 is 1.
1. What is the GCD of 150, 770, 209, 980?
GCD of given numbers 150, 770, 209, 980 is 1
2. How to calculate the greatest common divisor of 150, 770, 209, 980?
We can find the highest common divisor of 150, 770, 209, 980 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 150, 770, 209, 980 i.e 1.
3. How can I use the GCD of 150, 770, 209, 980Calculator?
Out the numbers 150, 770, 209, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.