Online GCD Calculator is useful to find the GCD of 108, 840, 975, 746 quickly. Get the easiest ways to solve the greatest common divisor of 108, 840, 975, 746 i.e 1 in different methods as follows.
Given Input numbers are 108, 840, 975, 746
In the factoring method, we have to find the divisors of all numbers
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
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 975 :
The positive integer divisors of 975 that completely divides 975 are.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
Divisors of 746 :
The positive integer divisors of 746 that completely divides 746 are.
1, 2, 373, 746
GCD of numbers is the greatest common divisor
So, the GCD (108, 840, 975, 746) = 1.
Given numbers are 108, 840, 975, 746
The list of prime factors of all numbers are
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
Prime factors of 975 are 3 x 5 x 5 x 13
Prime factors of 746 are 2 x 373
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 108, 840, 975, 746
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(108, 840) = 7560
GCD(108, 840) = ( 108 x 840 ) / 7560
= 108 / 840
= 108
Step2:
LCM(12, 975) = 3900
GCD(12, 975) = ( 12 x 975 ) / 3900
= 12 / 975
= 12
Step3:
LCM(3, 746) = 2238
GCD(3, 746) = ( 3 x 746 ) / 2238
= 3 / 746
= 3
So, Greatest Common Divisor of 108, 840, 975, 746 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 108, 840, 975, 746
The greatest common divisor of numbers 108, 840, 975, 746 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 840, 975, 746 is 1.
1. What is the GCD of 108, 840, 975, 746?
GCD of given numbers 108, 840, 975, 746 is 1
2. How to calculate the greatest common divisor of 108, 840, 975, 746?
We can find the highest common divisor of 108, 840, 975, 746 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 108, 840, 975, 746 i.e 1.
3. How can I use the GCD of 108, 840, 975, 746Calculator?
Out the numbers 108, 840, 975, 746 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.