Online GCD Calculator is useful to find the GCD of 285, 840, 765, 147 quickly. Get the easiest ways to solve the greatest common divisor of 285, 840, 765, 147 i.e 3 in different methods as follows.
Given Input numbers are 285, 840, 765, 147
In the factoring method, we have to find the divisors of all numbers
Divisors of 285 :
The positive integer divisors of 285 that completely divides 285 are.
1, 3, 5, 15, 19, 57, 95, 285
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 765 :
The positive integer divisors of 765 that completely divides 765 are.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Divisors of 147 :
The positive integer divisors of 147 that completely divides 147 are.
1, 3, 7, 21, 49, 147
GCD of numbers is the greatest common divisor
So, the GCD (285, 840, 765, 147) = 3.
Given numbers are 285, 840, 765, 147
The list of prime factors of all numbers are
Prime factors of 285 are 3 x 5 x 19
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
Prime factors of 765 are 3 x 3 x 5 x 17
Prime factors of 147 are 3 x 7 x 7
The highest common occurrence is 31
Therefore, GCD of 285, 840, 765, 147 is 3.
Given numbers are 285, 840, 765, 147
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(285, 840) = 15960
GCD(285, 840) = ( 285 x 840 ) / 15960
= 285 / 840
= 285
Step2:
LCM(15, 765) = 765
GCD(15, 765) = ( 15 x 765 ) / 765
= 15 / 765
= 15
Step3:
LCM(15, 147) = 735
GCD(15, 147) = ( 15 x 147 ) / 735
= 15 / 147
= 15
So, Greatest Common Divisor of 285, 840, 765, 147 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 285, 840, 765, 147
The greatest common divisor of numbers 285, 840, 765, 147 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 285, 840, 765, 147 is 3.
1. What is the GCD of 285, 840, 765, 147?
GCD of given numbers 285, 840, 765, 147 is 3
2. How to calculate the greatest common divisor of 285, 840, 765, 147?
We can find the highest common divisor of 285, 840, 765, 147 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 285, 840, 765, 147 i.e 3.
3. How can I use the GCD of 285, 840, 765, 147Calculator?
Out the numbers 285, 840, 765, 147 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.