Online GCD Calculator is useful to find the GCD of 976, 652, 274, 288 quickly. Get the easiest ways to solve the greatest common divisor of 976, 652, 274, 288 i.e 2 in different methods as follows.
Given Input numbers are 976, 652, 274, 288
In the factoring method, we have to find the divisors of all numbers
Divisors of 976 :
The positive integer divisors of 976 that completely divides 976 are.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
Divisors of 652 :
The positive integer divisors of 652 that completely divides 652 are.
1, 2, 4, 163, 326, 652
Divisors of 274 :
The positive integer divisors of 274 that completely divides 274 are.
1, 2, 137, 274
Divisors of 288 :
The positive integer divisors of 288 that completely divides 288 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
GCD of numbers is the greatest common divisor
So, the GCD (976, 652, 274, 288) = 2.
Given numbers are 976, 652, 274, 288
The list of prime factors of all numbers are
Prime factors of 976 are 2 x 2 x 2 x 2 x 61
Prime factors of 652 are 2 x 2 x 163
Prime factors of 274 are 2 x 137
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 976, 652, 274, 288 is 2.
Given numbers are 976, 652, 274, 288
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(976, 652) = 159088
GCD(976, 652) = ( 976 x 652 ) / 159088
= 976 / 652
= 976
Step2:
LCM(4, 274) = 548
GCD(4, 274) = ( 4 x 274 ) / 548
= 4 / 274
= 4
Step3:
LCM(2, 288) = 288
GCD(2, 288) = ( 2 x 288 ) / 288
= 2 / 288
= 2
So, Greatest Common Divisor of 976, 652, 274, 288 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 976, 652, 274, 288
The greatest common divisor of numbers 976, 652, 274, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 976, 652, 274, 288 is 2.
1. What is the GCD of 976, 652, 274, 288?
GCD of given numbers 976, 652, 274, 288 is 2
2. How to calculate the greatest common divisor of 976, 652, 274, 288?
We can find the highest common divisor of 976, 652, 274, 288 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 976, 652, 274, 288 i.e 2.
3. How can I use the GCD of 976, 652, 274, 288Calculator?
Out the numbers 976, 652, 274, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.