Online GCD Calculator is useful to find the GCD of 952, 896, 470, 992 quickly. Get the easiest ways to solve the greatest common divisor of 952, 896, 470, 992 i.e 2 in different methods as follows.
Given Input numbers are 952, 896, 470, 992
In the factoring method, we have to find the divisors of all numbers
Divisors of 952 :
The positive integer divisors of 952 that completely divides 952 are.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
Divisors of 896 :
The positive integer divisors of 896 that completely divides 896 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
Divisors of 470 :
The positive integer divisors of 470 that completely divides 470 are.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 992 :
The positive integer divisors of 992 that completely divides 992 are.
1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
GCD of numbers is the greatest common divisor
So, the GCD (952, 896, 470, 992) = 2.
Given numbers are 952, 896, 470, 992
The list of prime factors of all numbers are
Prime factors of 952 are 2 x 2 x 2 x 7 x 17
Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 470 are 2 x 5 x 47
Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31
The highest common occurrence is 21
Therefore, GCD of 952, 896, 470, 992 is 2.
Given numbers are 952, 896, 470, 992
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(952, 896) = 15232
GCD(952, 896) = ( 952 x 896 ) / 15232
= 952 / 896
= 952
Step2:
LCM(56, 470) = 13160
GCD(56, 470) = ( 56 x 470 ) / 13160
= 56 / 470
= 56
Step3:
LCM(2, 992) = 992
GCD(2, 992) = ( 2 x 992 ) / 992
= 2 / 992
= 2
So, Greatest Common Divisor of 952, 896, 470, 992 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 952, 896, 470, 992
The greatest common divisor of numbers 952, 896, 470, 992 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 952, 896, 470, 992 is 2.
1. What is the GCD of 952, 896, 470, 992?
GCD of given numbers 952, 896, 470, 992 is 2
2. How to calculate the greatest common divisor of 952, 896, 470, 992?
We can find the highest common divisor of 952, 896, 470, 992 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 952, 896, 470, 992 i.e 2.
3. How can I use the GCD of 952, 896, 470, 992Calculator?
Out the numbers 952, 896, 470, 992 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.