Online GCD Calculator is useful to find the GCD of 952, 240, 714, 422 quickly. Get the easiest ways to solve the greatest common divisor of 952, 240, 714, 422 i.e 2 in different methods as follows.
Given Input numbers are 952, 240, 714, 422
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 240 :
The positive integer divisors of 240 that completely divides 240 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 714 :
The positive integer divisors of 714 that completely divides 714 are.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Divisors of 422 :
The positive integer divisors of 422 that completely divides 422 are.
1, 2, 211, 422
GCD of numbers is the greatest common divisor
So, the GCD (952, 240, 714, 422) = 2.
Given numbers are 952, 240, 714, 422
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 240 are 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 714 are 2 x 3 x 7 x 17
Prime factors of 422 are 2 x 211
The highest common occurrence is 21
Therefore, GCD of 952, 240, 714, 422 is 2.
Given numbers are 952, 240, 714, 422
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(952, 240) = 28560
GCD(952, 240) = ( 952 x 240 ) / 28560
= 952 / 240
= 952
Step2:
LCM(8, 714) = 2856
GCD(8, 714) = ( 8 x 714 ) / 2856
= 8 / 714
= 8
Step3:
LCM(2, 422) = 422
GCD(2, 422) = ( 2 x 422 ) / 422
= 2 / 422
= 2
So, Greatest Common Divisor of 952, 240, 714, 422 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 952, 240, 714, 422
The greatest common divisor of numbers 952, 240, 714, 422 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 952, 240, 714, 422 is 2.
1. What is the GCD of 952, 240, 714, 422?
GCD of given numbers 952, 240, 714, 422 is 2
2. How to calculate the greatest common divisor of 952, 240, 714, 422?
We can find the highest common divisor of 952, 240, 714, 422 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, 240, 714, 422 i.e 2.
3. How can I use the GCD of 952, 240, 714, 422Calculator?
Out the numbers 952, 240, 714, 422 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.