Online GCD Calculator is useful to find the GCD of 632, 700, 374, 522 quickly. Get the easiest ways to solve the greatest common divisor of 632, 700, 374, 522 i.e 2 in different methods as follows.
Given Input numbers are 632, 700, 374, 522
In the factoring method, we have to find the divisors of all numbers
Divisors of 632 :
The positive integer divisors of 632 that completely divides 632 are.
1, 2, 4, 8, 79, 158, 316, 632
Divisors of 700 :
The positive integer divisors of 700 that completely divides 700 are.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Divisors of 374 :
The positive integer divisors of 374 that completely divides 374 are.
1, 2, 11, 17, 22, 34, 187, 374
Divisors of 522 :
The positive integer divisors of 522 that completely divides 522 are.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
GCD of numbers is the greatest common divisor
So, the GCD (632, 700, 374, 522) = 2.
Given numbers are 632, 700, 374, 522
The list of prime factors of all numbers are
Prime factors of 632 are 2 x 2 x 2 x 79
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
Prime factors of 374 are 2 x 11 x 17
Prime factors of 522 are 2 x 3 x 3 x 29
The highest common occurrence is 21
Therefore, GCD of 632, 700, 374, 522 is 2.
Given numbers are 632, 700, 374, 522
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(632, 700) = 110600
GCD(632, 700) = ( 632 x 700 ) / 110600
= 632 / 700
= 632
Step2:
LCM(4, 374) = 748
GCD(4, 374) = ( 4 x 374 ) / 748
= 4 / 374
= 4
Step3:
LCM(2, 522) = 522
GCD(2, 522) = ( 2 x 522 ) / 522
= 2 / 522
= 2
So, Greatest Common Divisor of 632, 700, 374, 522 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 632, 700, 374, 522
The greatest common divisor of numbers 632, 700, 374, 522 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 632, 700, 374, 522 is 2.
1. What is the GCD of 632, 700, 374, 522?
GCD of given numbers 632, 700, 374, 522 is 2
2. How to calculate the greatest common divisor of 632, 700, 374, 522?
We can find the highest common divisor of 632, 700, 374, 522 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 632, 700, 374, 522 i.e 2.
3. How can I use the GCD of 632, 700, 374, 522Calculator?
Out the numbers 632, 700, 374, 522 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.