Online GCD Calculator is useful to find the GCD of 532, 972, 896, 262 quickly. Get the easiest ways to solve the greatest common divisor of 532, 972, 896, 262 i.e 2 in different methods as follows.
Given Input numbers are 532, 972, 896, 262
In the factoring method, we have to find the divisors of all numbers
Divisors of 532 :
The positive integer divisors of 532 that completely divides 532 are.
1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
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 262 :
The positive integer divisors of 262 that completely divides 262 are.
1, 2, 131, 262
GCD of numbers is the greatest common divisor
So, the GCD (532, 972, 896, 262) = 2.
Given numbers are 532, 972, 896, 262
The list of prime factors of all numbers are
Prime factors of 532 are 2 x 2 x 7 x 19
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 262 are 2 x 131
The highest common occurrence is 21
Therefore, GCD of 532, 972, 896, 262 is 2.
Given numbers are 532, 972, 896, 262
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(532, 972) = 129276
GCD(532, 972) = ( 532 x 972 ) / 129276
= 532 / 972
= 532
Step2:
LCM(4, 896) = 896
GCD(4, 896) = ( 4 x 896 ) / 896
= 4 / 896
= 4
Step3:
LCM(4, 262) = 524
GCD(4, 262) = ( 4 x 262 ) / 524
= 4 / 262
= 4
So, Greatest Common Divisor of 532, 972, 896, 262 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 532, 972, 896, 262
The greatest common divisor of numbers 532, 972, 896, 262 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 532, 972, 896, 262 is 2.
1. What is the GCD of 532, 972, 896, 262?
GCD of given numbers 532, 972, 896, 262 is 2
2. How to calculate the greatest common divisor of 532, 972, 896, 262?
We can find the highest common divisor of 532, 972, 896, 262 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 532, 972, 896, 262 i.e 2.
3. How can I use the GCD of 532, 972, 896, 262Calculator?
Out the numbers 532, 972, 896, 262 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.