Online GCD Calculator is useful to find the GCD of 136, 546, 496, 840 quickly. Get the easiest ways to solve the greatest common divisor of 136, 546, 496, 840 i.e 2 in different methods as follows.
Given Input numbers are 136, 546, 496, 840
In the factoring method, we have to find the divisors of all numbers
Divisors of 136 :
The positive integer divisors of 136 that completely divides 136 are.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 546 :
The positive integer divisors of 546 that completely divides 546 are.
1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
Divisors of 496 :
The positive integer divisors of 496 that completely divides 496 are.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
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
GCD of numbers is the greatest common divisor
So, the GCD (136, 546, 496, 840) = 2.
Given numbers are 136, 546, 496, 840
The list of prime factors of all numbers are
Prime factors of 136 are 2 x 2 x 2 x 17
Prime factors of 546 are 2 x 3 x 7 x 13
Prime factors of 496 are 2 x 2 x 2 x 2 x 31
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
The highest common occurrence is 21
Therefore, GCD of 136, 546, 496, 840 is 2.
Given numbers are 136, 546, 496, 840
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(136, 546) = 37128
GCD(136, 546) = ( 136 x 546 ) / 37128
= 136 / 546
= 136
Step2:
LCM(2, 496) = 496
GCD(2, 496) = ( 2 x 496 ) / 496
= 2 / 496
= 2
Step3:
LCM(2, 840) = 840
GCD(2, 840) = ( 2 x 840 ) / 840
= 2 / 840
= 2
So, Greatest Common Divisor of 136, 546, 496, 840 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 136, 546, 496, 840
The greatest common divisor of numbers 136, 546, 496, 840 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 136, 546, 496, 840 is 2.
1. What is the GCD of 136, 546, 496, 840?
GCD of given numbers 136, 546, 496, 840 is 2
2. How to calculate the greatest common divisor of 136, 546, 496, 840?
We can find the highest common divisor of 136, 546, 496, 840 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 136, 546, 496, 840 i.e 2.
3. How can I use the GCD of 136, 546, 496, 840Calculator?
Out the numbers 136, 546, 496, 840 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.