Online GCD Calculator is useful to find the GCD of 962, 464, 796, 742 quickly. Get the easiest ways to solve the greatest common divisor of 962, 464, 796, 742 i.e 2 in different methods as follows.
Given Input numbers are 962, 464, 796, 742
In the factoring method, we have to find the divisors of all numbers
Divisors of 962 :
The positive integer divisors of 962 that completely divides 962 are.
1, 2, 13, 26, 37, 74, 481, 962
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 796 :
The positive integer divisors of 796 that completely divides 796 are.
1, 2, 4, 199, 398, 796
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
GCD of numbers is the greatest common divisor
So, the GCD (962, 464, 796, 742) = 2.
Given numbers are 962, 464, 796, 742
The list of prime factors of all numbers are
Prime factors of 962 are 2 x 13 x 37
Prime factors of 464 are 2 x 2 x 2 x 2 x 29
Prime factors of 796 are 2 x 2 x 199
Prime factors of 742 are 2 x 7 x 53
The highest common occurrence is 21
Therefore, GCD of 962, 464, 796, 742 is 2.
Given numbers are 962, 464, 796, 742
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(962, 464) = 223184
GCD(962, 464) = ( 962 x 464 ) / 223184
= 962 / 464
= 962
Step2:
LCM(2, 796) = 796
GCD(2, 796) = ( 2 x 796 ) / 796
= 2 / 796
= 2
Step3:
LCM(2, 742) = 742
GCD(2, 742) = ( 2 x 742 ) / 742
= 2 / 742
= 2
So, Greatest Common Divisor of 962, 464, 796, 742 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 962, 464, 796, 742
The greatest common divisor of numbers 962, 464, 796, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 962, 464, 796, 742 is 2.
1. What is the GCD of 962, 464, 796, 742?
GCD of given numbers 962, 464, 796, 742 is 2
2. How to calculate the greatest common divisor of 962, 464, 796, 742?
We can find the highest common divisor of 962, 464, 796, 742 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 962, 464, 796, 742 i.e 2.
3. How can I use the GCD of 962, 464, 796, 742Calculator?
Out the numbers 962, 464, 796, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.