Online GCD Calculator is useful to find the GCD of 740, 238, 716, 696 quickly. Get the easiest ways to solve the greatest common divisor of 740, 238, 716, 696 i.e 2 in different methods as follows.
Given Input numbers are 740, 238, 716, 696
In the factoring method, we have to find the divisors of all numbers
Divisors of 740 :
The positive integer divisors of 740 that completely divides 740 are.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
Divisors of 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 716 :
The positive integer divisors of 716 that completely divides 716 are.
1, 2, 4, 179, 358, 716
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 (740, 238, 716, 696) = 2.
Given numbers are 740, 238, 716, 696
The list of prime factors of all numbers are
Prime factors of 740 are 2 x 2 x 5 x 37
Prime factors of 238 are 2 x 7 x 17
Prime factors of 716 are 2 x 2 x 179
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
The highest common occurrence is 21
Therefore, GCD of 740, 238, 716, 696 is 2.
Given numbers are 740, 238, 716, 696
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(740, 238) = 88060
GCD(740, 238) = ( 740 x 238 ) / 88060
= 740 / 238
= 740
Step2:
LCM(2, 716) = 716
GCD(2, 716) = ( 2 x 716 ) / 716
= 2 / 716
= 2
Step3:
LCM(2, 696) = 696
GCD(2, 696) = ( 2 x 696 ) / 696
= 2 / 696
= 2
So, Greatest Common Divisor of 740, 238, 716, 696 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 740, 238, 716, 696
The greatest common divisor of numbers 740, 238, 716, 696 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 740, 238, 716, 696 is 2.
1. What is the GCD of 740, 238, 716, 696?
GCD of given numbers 740, 238, 716, 696 is 2
2. How to calculate the greatest common divisor of 740, 238, 716, 696?
We can find the highest common divisor of 740, 238, 716, 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 740, 238, 716, 696 i.e 2.
3. How can I use the GCD of 740, 238, 716, 696Calculator?
Out the numbers 740, 238, 716, 696 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.