Online GCD Calculator is useful to find the GCD of 840, 525, 687, 270 quickly. Get the easiest ways to solve the greatest common divisor of 840, 525, 687, 270 i.e 3 in different methods as follows.
Given Input numbers are 840, 525, 687, 270
In the factoring method, we have to find the divisors of all numbers
Divisors of 840 :
The positive integer divisors of 840 that completely divides 840 are.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Divisors of 525 :
The positive integer divisors of 525 that completely divides 525 are.
1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
GCD of numbers is the greatest common divisor
So, the GCD (840, 525, 687, 270) = 3.
Given numbers are 840, 525, 687, 270
The list of prime factors of all numbers are
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
Prime factors of 525 are 3 x 5 x 5 x 7
Prime factors of 687 are 3 x 229
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
The highest common occurrence is 31
Therefore, GCD of 840, 525, 687, 270 is 3.
Given numbers are 840, 525, 687, 270
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(840, 525) = 4200
GCD(840, 525) = ( 840 x 525 ) / 4200
= 840 / 525
= 840
Step2:
LCM(105, 687) = 24045
GCD(105, 687) = ( 105 x 687 ) / 24045
= 105 / 687
= 105
Step3:
LCM(3, 270) = 270
GCD(3, 270) = ( 3 x 270 ) / 270
= 3 / 270
= 3
So, Greatest Common Divisor of 840, 525, 687, 270 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 840, 525, 687, 270
The greatest common divisor of numbers 840, 525, 687, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 525, 687, 270 is 3.
1. What is the GCD of 840, 525, 687, 270?
GCD of given numbers 840, 525, 687, 270 is 3
2. How to calculate the greatest common divisor of 840, 525, 687, 270?
We can find the highest common divisor of 840, 525, 687, 270 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 840, 525, 687, 270 i.e 3.
3. How can I use the GCD of 840, 525, 687, 270Calculator?
Out the numbers 840, 525, 687, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.