Online GCD Calculator is useful to find the GCD of 532, 680, 374, 640 quickly. Get the easiest ways to solve the greatest common divisor of 532, 680, 374, 640 i.e 2 in different methods as follows.
Given Input numbers are 532, 680, 374, 640
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 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 374 :
The positive integer divisors of 374 that completely divides 374 are.
1, 2, 11, 17, 22, 34, 187, 374
Divisors of 640 :
The positive integer divisors of 640 that completely divides 640 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
GCD of numbers is the greatest common divisor
So, the GCD (532, 680, 374, 640) = 2.
Given numbers are 532, 680, 374, 640
The list of prime factors of all numbers are
Prime factors of 532 are 2 x 2 x 7 x 19
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
Prime factors of 374 are 2 x 11 x 17
Prime factors of 640 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5
The highest common occurrence is 21
Therefore, GCD of 532, 680, 374, 640 is 2.
Given numbers are 532, 680, 374, 640
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(532, 680) = 90440
GCD(532, 680) = ( 532 x 680 ) / 90440
= 532 / 680
= 532
Step2:
LCM(4, 374) = 748
GCD(4, 374) = ( 4 x 374 ) / 748
= 4 / 374
= 4
Step3:
LCM(2, 640) = 640
GCD(2, 640) = ( 2 x 640 ) / 640
= 2 / 640
= 2
So, Greatest Common Divisor of 532, 680, 374, 640 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 532, 680, 374, 640
The greatest common divisor of numbers 532, 680, 374, 640 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 532, 680, 374, 640 is 2.
1. What is the GCD of 532, 680, 374, 640?
GCD of given numbers 532, 680, 374, 640 is 2
2. How to calculate the greatest common divisor of 532, 680, 374, 640?
We can find the highest common divisor of 532, 680, 374, 640 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, 680, 374, 640 i.e 2.
3. How can I use the GCD of 532, 680, 374, 640Calculator?
Out the numbers 532, 680, 374, 640 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.