Online GCD Calculator is useful to find the GCD of 760, 464, 118, 696 quickly. Get the easiest ways to solve the greatest common divisor of 760, 464, 118, 696 i.e 2 in different methods as follows.
Given Input numbers are 760, 464, 118, 696
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 464 :
The positive integer divisors of 464 that completely divides 464 are.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
Divisors of 118 :
The positive integer divisors of 118 that completely divides 118 are.
1, 2, 59, 118
Divisors of 696 :
The positive integer divisors of 696 that completely divides 696 are.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
GCD of numbers is the greatest common divisor
So, the GCD (760, 464, 118, 696) = 2.
Given numbers are 760, 464, 118, 696
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 464 are 2 x 2 x 2 x 2 x 29
Prime factors of 118 are 2 x 59
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
The highest common occurrence is 21
Therefore, GCD of 760, 464, 118, 696 is 2.
Given numbers are 760, 464, 118, 696
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(760, 464) = 44080
GCD(760, 464) = ( 760 x 464 ) / 44080
= 760 / 464
= 760
Step2:
LCM(8, 118) = 472
GCD(8, 118) = ( 8 x 118 ) / 472
= 8 / 118
= 8
Step3:
LCM(2, 696) = 696
GCD(2, 696) = ( 2 x 696 ) / 696
= 2 / 696
= 2
So, Greatest Common Divisor of 760, 464, 118, 696 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 760, 464, 118, 696
The greatest common divisor of numbers 760, 464, 118, 696 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 760, 464, 118, 696 is 2.
1. What is the GCD of 760, 464, 118, 696?
GCD of given numbers 760, 464, 118, 696 is 2
2. How to calculate the greatest common divisor of 760, 464, 118, 696?
We can find the highest common divisor of 760, 464, 118, 696 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, 464, 118, 696 i.e 2.
3. How can I use the GCD of 760, 464, 118, 696Calculator?
Out the numbers 760, 464, 118, 696 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.