Online GCD Calculator is useful to find the GCD of 130, 370, 775, 970 quickly. Get the easiest ways to solve the greatest common divisor of 130, 370, 775, 970 i.e 5 in different methods as follows.
Given Input numbers are 130, 370, 775, 970
In the factoring method, we have to find the divisors of all numbers
Divisors of 130 :
The positive integer divisors of 130 that completely divides 130 are.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 370 :
The positive integer divisors of 370 that completely divides 370 are.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 775 :
The positive integer divisors of 775 that completely divides 775 are.
1, 5, 25, 31, 155, 775
Divisors of 970 :
The positive integer divisors of 970 that completely divides 970 are.
1, 2, 5, 10, 97, 194, 485, 970
GCD of numbers is the greatest common divisor
So, the GCD (130, 370, 775, 970) = 5.
Given numbers are 130, 370, 775, 970
The list of prime factors of all numbers are
Prime factors of 130 are 2 x 5 x 13
Prime factors of 370 are 2 x 5 x 37
Prime factors of 775 are 5 x 5 x 31
Prime factors of 970 are 2 x 5 x 97
The highest common occurrence is 51
Therefore, GCD of 130, 370, 775, 970 is 5.
Given numbers are 130, 370, 775, 970
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(130, 370) = 4810
GCD(130, 370) = ( 130 x 370 ) / 4810
= 130 / 370
= 130
Step2:
LCM(10, 775) = 1550
GCD(10, 775) = ( 10 x 775 ) / 1550
= 10 / 775
= 10
Step3:
LCM(5, 970) = 970
GCD(5, 970) = ( 5 x 970 ) / 970
= 5 / 970
= 5
So, Greatest Common Divisor of 130, 370, 775, 970 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 130, 370, 775, 970
The greatest common divisor of numbers 130, 370, 775, 970 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 370, 775, 970 is 5.
1. What is the GCD of 130, 370, 775, 970?
GCD of given numbers 130, 370, 775, 970 is 5
2. How to calculate the greatest common divisor of 130, 370, 775, 970?
We can find the highest common divisor of 130, 370, 775, 970 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 130, 370, 775, 970 i.e 5.
3. How can I use the GCD of 130, 370, 775, 970Calculator?
Out the numbers 130, 370, 775, 970 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.