Online GCD Calculator is useful to find the GCD of 962, 716, 178, 224 quickly. Get the easiest ways to solve the greatest common divisor of 962, 716, 178, 224 i.e 2 in different methods as follows.
Given Input numbers are 962, 716, 178, 224
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 716 :
The positive integer divisors of 716 that completely divides 716 are.
1, 2, 4, 179, 358, 716
Divisors of 178 :
The positive integer divisors of 178 that completely divides 178 are.
1, 2, 89, 178
Divisors of 224 :
The positive integer divisors of 224 that completely divides 224 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
GCD of numbers is the greatest common divisor
So, the GCD (962, 716, 178, 224) = 2.
Given numbers are 962, 716, 178, 224
The list of prime factors of all numbers are
Prime factors of 962 are 2 x 13 x 37
Prime factors of 716 are 2 x 2 x 179
Prime factors of 178 are 2 x 89
Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7
The highest common occurrence is 21
Therefore, GCD of 962, 716, 178, 224 is 2.
Given numbers are 962, 716, 178, 224
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(962, 716) = 344396
GCD(962, 716) = ( 962 x 716 ) / 344396
= 962 / 716
= 962
Step2:
LCM(2, 178) = 178
GCD(2, 178) = ( 2 x 178 ) / 178
= 2 / 178
= 2
Step3:
LCM(2, 224) = 224
GCD(2, 224) = ( 2 x 224 ) / 224
= 2 / 224
= 2
So, Greatest Common Divisor of 962, 716, 178, 224 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 962, 716, 178, 224
The greatest common divisor of numbers 962, 716, 178, 224 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 962, 716, 178, 224 is 2.
1. What is the GCD of 962, 716, 178, 224?
GCD of given numbers 962, 716, 178, 224 is 2
2. How to calculate the greatest common divisor of 962, 716, 178, 224?
We can find the highest common divisor of 962, 716, 178, 224 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, 716, 178, 224 i.e 2.
3. How can I use the GCD of 962, 716, 178, 224Calculator?
Out the numbers 962, 716, 178, 224 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.