Online GCD Calculator is useful to find the GCD of 100, 532, 314, 528 quickly. Get the easiest ways to solve the greatest common divisor of 100, 532, 314, 528 i.e 2 in different methods as follows.
Given Input numbers are 100, 532, 314, 528
In the factoring method, we have to find the divisors of all numbers
Divisors of 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
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 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
Divisors of 528 :
The positive integer divisors of 528 that completely divides 528 are.
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
GCD of numbers is the greatest common divisor
So, the GCD (100, 532, 314, 528) = 2.
Given numbers are 100, 532, 314, 528
The list of prime factors of all numbers are
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 532 are 2 x 2 x 7 x 19
Prime factors of 314 are 2 x 157
Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11
The highest common occurrence is 21
Therefore, GCD of 100, 532, 314, 528 is 2.
Given numbers are 100, 532, 314, 528
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(100, 532) = 13300
GCD(100, 532) = ( 100 x 532 ) / 13300
= 100 / 532
= 100
Step2:
LCM(4, 314) = 628
GCD(4, 314) = ( 4 x 314 ) / 628
= 4 / 314
= 4
Step3:
LCM(2, 528) = 528
GCD(2, 528) = ( 2 x 528 ) / 528
= 2 / 528
= 2
So, Greatest Common Divisor of 100, 532, 314, 528 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 100, 532, 314, 528
The greatest common divisor of numbers 100, 532, 314, 528 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 532, 314, 528 is 2.
1. What is the GCD of 100, 532, 314, 528?
GCD of given numbers 100, 532, 314, 528 is 2
2. How to calculate the greatest common divisor of 100, 532, 314, 528?
We can find the highest common divisor of 100, 532, 314, 528 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 100, 532, 314, 528 i.e 2.
3. How can I use the GCD of 100, 532, 314, 528Calculator?
Out the numbers 100, 532, 314, 528 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.