Online GCD Calculator is useful to find the GCD of 792, 846, 708, 546 quickly. Get the easiest ways to solve the greatest common divisor of 792, 846, 708, 546 i.e 6 in different methods as follows.
Given Input numbers are 792, 846, 708, 546
In the factoring method, we have to find the divisors of all numbers
Divisors of 792 :
The positive integer divisors of 792 that completely divides 792 are.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Divisors of 846 :
The positive integer divisors of 846 that completely divides 846 are.
1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
Divisors of 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
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
GCD of numbers is the greatest common divisor
So, the GCD (792, 846, 708, 546) = 6.
Given numbers are 792, 846, 708, 546
The list of prime factors of all numbers are
Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11
Prime factors of 846 are 2 x 3 x 3 x 47
Prime factors of 708 are 2 x 2 x 3 x 59
Prime factors of 546 are 2 x 3 x 7 x 13
The highest common occurrence is 21 x 31
Therefore, GCD of 792, 846, 708, 546 is 6.
Given numbers are 792, 846, 708, 546
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(792, 846) = 37224
GCD(792, 846) = ( 792 x 846 ) / 37224
= 792 / 846
= 792
Step2:
LCM(18, 708) = 2124
GCD(18, 708) = ( 18 x 708 ) / 2124
= 18 / 708
= 18
Step3:
LCM(6, 546) = 546
GCD(6, 546) = ( 6 x 546 ) / 546
= 6 / 546
= 6
So, Greatest Common Divisor of 792, 846, 708, 546 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 792, 846, 708, 546
The greatest common divisor of numbers 792, 846, 708, 546 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 792, 846, 708, 546 is 6.
1. What is the GCD of 792, 846, 708, 546?
GCD of given numbers 792, 846, 708, 546 is 6
2. How to calculate the greatest common divisor of 792, 846, 708, 546?
We can find the highest common divisor of 792, 846, 708, 546 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 792, 846, 708, 546 i.e 6.
3. How can I use the GCD of 792, 846, 708, 546Calculator?
Out the numbers 792, 846, 708, 546 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.