Online GCD Calculator is useful to find the GCD of 628, 524, 288, 140 quickly. Get the easiest ways to solve the greatest common divisor of 628, 524, 288, 140 i.e 4 in different methods as follows.
Given Input numbers are 628, 524, 288, 140
In the factoring method, we have to find the divisors of all numbers
Divisors of 628 :
The positive integer divisors of 628 that completely divides 628 are.
1, 2, 4, 157, 314, 628
Divisors of 524 :
The positive integer divisors of 524 that completely divides 524 are.
1, 2, 4, 131, 262, 524
Divisors of 288 :
The positive integer divisors of 288 that completely divides 288 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
Divisors of 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
GCD of numbers is the greatest common divisor
So, the GCD (628, 524, 288, 140) = 4.
Given numbers are 628, 524, 288, 140
The list of prime factors of all numbers are
Prime factors of 628 are 2 x 2 x 157
Prime factors of 524 are 2 x 2 x 131
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 140 are 2 x 2 x 5 x 7
The highest common occurrence is 22
Therefore, GCD of 628, 524, 288, 140 is 4.
Given numbers are 628, 524, 288, 140
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(628, 524) = 82268
GCD(628, 524) = ( 628 x 524 ) / 82268
= 628 / 524
= 628
Step2:
LCM(4, 288) = 288
GCD(4, 288) = ( 4 x 288 ) / 288
= 4 / 288
= 4
Step3:
LCM(4, 140) = 140
GCD(4, 140) = ( 4 x 140 ) / 140
= 4 / 140
= 4
So, Greatest Common Divisor of 628, 524, 288, 140 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 628, 524, 288, 140
The greatest common divisor of numbers 628, 524, 288, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 628, 524, 288, 140 is 4.
1. What is the GCD of 628, 524, 288, 140?
GCD of given numbers 628, 524, 288, 140 is 4
2. How to calculate the greatest common divisor of 628, 524, 288, 140?
We can find the highest common divisor of 628, 524, 288, 140 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 628, 524, 288, 140 i.e 4.
3. How can I use the GCD of 628, 524, 288, 140Calculator?
Out the numbers 628, 524, 288, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.