Online GCD Calculator is useful to find the GCD of 760, 190, 710, 960 quickly. Get the easiest ways to solve the greatest common divisor of 760, 190, 710, 960 i.e 10 in different methods as follows.
Given Input numbers are 760, 190, 710, 960
In the factoring method, we have to find the divisors of all numbers
Divisors of 760 :
The positive integer divisors of 760 that completely divides 760 are.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Divisors of 190 :
The positive integer divisors of 190 that completely divides 190 are.
1, 2, 5, 10, 19, 38, 95, 190
Divisors of 710 :
The positive integer divisors of 710 that completely divides 710 are.
1, 2, 5, 10, 71, 142, 355, 710
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
GCD of numbers is the greatest common divisor
So, the GCD (760, 190, 710, 960) = 10.
Given numbers are 760, 190, 710, 960
The list of prime factors of all numbers are
Prime factors of 760 are 2 x 2 x 2 x 5 x 19
Prime factors of 190 are 2 x 5 x 19
Prime factors of 710 are 2 x 5 x 71
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
The highest common occurrence is 21 x 51
Therefore, GCD of 760, 190, 710, 960 is 10.
Given numbers are 760, 190, 710, 960
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(760, 190) = 760
GCD(760, 190) = ( 760 x 190 ) / 760
= 760 / 190
= 760
Step2:
LCM(190, 710) = 13490
GCD(190, 710) = ( 190 x 710 ) / 13490
= 190 / 710
= 190
Step3:
LCM(10, 960) = 960
GCD(10, 960) = ( 10 x 960 ) / 960
= 10 / 960
= 10
So, Greatest Common Divisor of 760, 190, 710, 960 is 10
Here are some samples of GCD of Numbers calculations.
Given numbers are 760, 190, 710, 960
The greatest common divisor of numbers 760, 190, 710, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 760, 190, 710, 960 is 10.
1. What is the GCD of 760, 190, 710, 960?
GCD of given numbers 760, 190, 710, 960 is 10
2. How to calculate the greatest common divisor of 760, 190, 710, 960?
We can find the highest common divisor of 760, 190, 710, 960 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 760, 190, 710, 960 i.e 10.
3. How can I use the GCD of 760, 190, 710, 960Calculator?
Out the numbers 760, 190, 710, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.