Online GCD Calculator is useful to find the GCD of 524, 704, 240, 760 quickly. Get the easiest ways to solve the greatest common divisor of 524, 704, 240, 760 i.e 4 in different methods as follows.
Given Input numbers are 524, 704, 240, 760
In the factoring method, we have to find the divisors of all numbers
Divisors of 524 :
The positive integer divisors of 524 that completely divides 524 are.
1, 2, 4, 131, 262, 524
Divisors of 704 :
The positive integer divisors of 704 that completely divides 704 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Divisors of 240 :
The positive integer divisors of 240 that completely divides 240 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 760 :
The positive integer divisors of 760 that completely divides 760 are.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
GCD of numbers is the greatest common divisor
So, the GCD (524, 704, 240, 760) = 4.
Given numbers are 524, 704, 240, 760
The list of prime factors of all numbers are
Prime factors of 524 are 2 x 2 x 131
Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 760 are 2 x 2 x 2 x 5 x 19
The highest common occurrence is 22
Therefore, GCD of 524, 704, 240, 760 is 4.
Given numbers are 524, 704, 240, 760
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(524, 704) = 92224
GCD(524, 704) = ( 524 x 704 ) / 92224
= 524 / 704
= 524
Step2:
LCM(4, 240) = 240
GCD(4, 240) = ( 4 x 240 ) / 240
= 4 / 240
= 4
Step3:
LCM(4, 760) = 760
GCD(4, 760) = ( 4 x 760 ) / 760
= 4 / 760
= 4
So, Greatest Common Divisor of 524, 704, 240, 760 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 524, 704, 240, 760
The greatest common divisor of numbers 524, 704, 240, 760 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 524, 704, 240, 760 is 4.
1. What is the GCD of 524, 704, 240, 760?
GCD of given numbers 524, 704, 240, 760 is 4
2. How to calculate the greatest common divisor of 524, 704, 240, 760?
We can find the highest common divisor of 524, 704, 240, 760 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 524, 704, 240, 760 i.e 4.
3. How can I use the GCD of 524, 704, 240, 760Calculator?
Out the numbers 524, 704, 240, 760 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.