Online GCD Calculator is useful to find the GCD of 770, 120, 149, 290 quickly. Get the easiest ways to solve the greatest common divisor of 770, 120, 149, 290 i.e 1 in different methods as follows.
Given Input numbers are 770, 120, 149, 290
In the factoring method, we have to find the divisors of all numbers
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 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 149 :
The positive integer divisors of 149 that completely divides 149 are.
1, 149
Divisors of 290 :
The positive integer divisors of 290 that completely divides 290 are.
1, 2, 5, 10, 29, 58, 145, 290
GCD of numbers is the greatest common divisor
So, the GCD (770, 120, 149, 290) = 1.
Given numbers are 770, 120, 149, 290
The list of prime factors of all numbers are
Prime factors of 770 are 2 x 5 x 7 x 11
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 149 are 149
Prime factors of 290 are 2 x 5 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 770, 120, 149, 290
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(770, 120) = 9240
GCD(770, 120) = ( 770 x 120 ) / 9240
= 770 / 120
= 770
Step2:
LCM(10, 149) = 1490
GCD(10, 149) = ( 10 x 149 ) / 1490
= 10 / 149
= 10
Step3:
LCM(1, 290) = 290
GCD(1, 290) = ( 1 x 290 ) / 290
= 1 / 290
= 1
So, Greatest Common Divisor of 770, 120, 149, 290 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 770, 120, 149, 290
The greatest common divisor of numbers 770, 120, 149, 290 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 770, 120, 149, 290 is 1.
1. What is the GCD of 770, 120, 149, 290?
GCD of given numbers 770, 120, 149, 290 is 1
2. How to calculate the greatest common divisor of 770, 120, 149, 290?
We can find the highest common divisor of 770, 120, 149, 290 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 770, 120, 149, 290 i.e 1.
3. How can I use the GCD of 770, 120, 149, 290Calculator?
Out the numbers 770, 120, 149, 290 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.