Online GCD Calculator is useful to find the GCD of 520, 550, 962, 914 quickly. Get the easiest ways to solve the greatest common divisor of 520, 550, 962, 914 i.e 2 in different methods as follows.
Given Input numbers are 520, 550, 962, 914
In the factoring method, we have to find the divisors of all numbers
Divisors of 520 :
The positive integer divisors of 520 that completely divides 520 are.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Divisors of 550 :
The positive integer divisors of 550 that completely divides 550 are.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
Divisors of 962 :
The positive integer divisors of 962 that completely divides 962 are.
1, 2, 13, 26, 37, 74, 481, 962
Divisors of 914 :
The positive integer divisors of 914 that completely divides 914 are.
1, 2, 457, 914
GCD of numbers is the greatest common divisor
So, the GCD (520, 550, 962, 914) = 2.
Given numbers are 520, 550, 962, 914
The list of prime factors of all numbers are
Prime factors of 520 are 2 x 2 x 2 x 5 x 13
Prime factors of 550 are 2 x 5 x 5 x 11
Prime factors of 962 are 2 x 13 x 37
Prime factors of 914 are 2 x 457
The highest common occurrence is 21
Therefore, GCD of 520, 550, 962, 914 is 2.
Given numbers are 520, 550, 962, 914
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(520, 550) = 28600
GCD(520, 550) = ( 520 x 550 ) / 28600
= 520 / 550
= 520
Step2:
LCM(10, 962) = 4810
GCD(10, 962) = ( 10 x 962 ) / 4810
= 10 / 962
= 10
Step3:
LCM(2, 914) = 914
GCD(2, 914) = ( 2 x 914 ) / 914
= 2 / 914
= 2
So, Greatest Common Divisor of 520, 550, 962, 914 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 520, 550, 962, 914
The greatest common divisor of numbers 520, 550, 962, 914 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 520, 550, 962, 914 is 2.
1. What is the GCD of 520, 550, 962, 914?
GCD of given numbers 520, 550, 962, 914 is 2
2. How to calculate the greatest common divisor of 520, 550, 962, 914?
We can find the highest common divisor of 520, 550, 962, 914 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 520, 550, 962, 914 i.e 2.
3. How can I use the GCD of 520, 550, 962, 914Calculator?
Out the numbers 520, 550, 962, 914 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.