Online GCD Calculator is useful to find the GCD of 964, 708, 260, 414 quickly. Get the easiest ways to solve the greatest common divisor of 964, 708, 260, 414 i.e 2 in different methods as follows.
Given Input numbers are 964, 708, 260, 414
In the factoring method, we have to find the divisors of all numbers
Divisors of 964 :
The positive integer divisors of 964 that completely divides 964 are.
1, 2, 4, 241, 482, 964
Divisors of 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 260 :
The positive integer divisors of 260 that completely divides 260 are.
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
Divisors of 414 :
The positive integer divisors of 414 that completely divides 414 are.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
GCD of numbers is the greatest common divisor
So, the GCD (964, 708, 260, 414) = 2.
Given numbers are 964, 708, 260, 414
The list of prime factors of all numbers are
Prime factors of 964 are 2 x 2 x 241
Prime factors of 708 are 2 x 2 x 3 x 59
Prime factors of 260 are 2 x 2 x 5 x 13
Prime factors of 414 are 2 x 3 x 3 x 23
The highest common occurrence is 21
Therefore, GCD of 964, 708, 260, 414 is 2.
Given numbers are 964, 708, 260, 414
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(964, 708) = 170628
GCD(964, 708) = ( 964 x 708 ) / 170628
= 964 / 708
= 964
Step2:
LCM(4, 260) = 260
GCD(4, 260) = ( 4 x 260 ) / 260
= 4 / 260
= 4
Step3:
LCM(4, 414) = 828
GCD(4, 414) = ( 4 x 414 ) / 828
= 4 / 414
= 4
So, Greatest Common Divisor of 964, 708, 260, 414 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 964, 708, 260, 414
The greatest common divisor of numbers 964, 708, 260, 414 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 964, 708, 260, 414 is 2.
1. What is the GCD of 964, 708, 260, 414?
GCD of given numbers 964, 708, 260, 414 is 2
2. How to calculate the greatest common divisor of 964, 708, 260, 414?
We can find the highest common divisor of 964, 708, 260, 414 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 964, 708, 260, 414 i.e 2.
3. How can I use the GCD of 964, 708, 260, 414Calculator?
Out the numbers 964, 708, 260, 414 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.