Online GCD Calculator is useful to find the GCD of 768, 760, 575, 702 quickly. Get the easiest ways to solve the greatest common divisor of 768, 760, 575, 702 i.e 1 in different methods as follows.
Given Input numbers are 768, 760, 575, 702
In the factoring method, we have to find the divisors of all numbers
Divisors of 768 :
The positive integer divisors of 768 that completely divides 768 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
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 575 :
The positive integer divisors of 575 that completely divides 575 are.
1, 5, 23, 25, 115, 575
Divisors of 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
GCD of numbers is the greatest common divisor
So, the GCD (768, 760, 575, 702) = 1.
Given numbers are 768, 760, 575, 702
The list of prime factors of all numbers are
Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 760 are 2 x 2 x 2 x 5 x 19
Prime factors of 575 are 5 x 5 x 23
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 768, 760, 575, 702
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(768, 760) = 72960
GCD(768, 760) = ( 768 x 760 ) / 72960
= 768 / 760
= 768
Step2:
LCM(8, 575) = 4600
GCD(8, 575) = ( 8 x 575 ) / 4600
= 8 / 575
= 8
Step3:
LCM(1, 702) = 702
GCD(1, 702) = ( 1 x 702 ) / 702
= 1 / 702
= 1
So, Greatest Common Divisor of 768, 760, 575, 702 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 768, 760, 575, 702
The greatest common divisor of numbers 768, 760, 575, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 768, 760, 575, 702 is 1.
1. What is the GCD of 768, 760, 575, 702?
GCD of given numbers 768, 760, 575, 702 is 1
2. How to calculate the greatest common divisor of 768, 760, 575, 702?
We can find the highest common divisor of 768, 760, 575, 702 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 768, 760, 575, 702 i.e 1.
3. How can I use the GCD of 768, 760, 575, 702Calculator?
Out the numbers 768, 760, 575, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.