Online GCD Calculator is useful to find the GCD of 975, 702, 96, 292 quickly. Get the easiest ways to solve the greatest common divisor of 975, 702, 96, 292 i.e 1 in different methods as follows.
Given Input numbers are 975, 702, 96, 292
In the factoring method, we have to find the divisors of all numbers
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 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 96 :
The positive integer divisors of 96 that completely divides 96 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Divisors of 292 :
The positive integer divisors of 292 that completely divides 292 are.
1, 2, 4, 73, 146, 292
GCD of numbers is the greatest common divisor
So, the GCD (975, 702, 96, 292) = 1.
Given numbers are 975, 702, 96, 292
The list of prime factors of all numbers are
Prime factors of 975 are 3 x 5 x 5 x 13
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
Prime factors of 96 are 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 292 are 2 x 2 x 73
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 975, 702, 96, 292
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(975, 702) = 17550
GCD(975, 702) = ( 975 x 702 ) / 17550
= 975 / 702
= 975
Step2:
LCM(39, 96) = 1248
GCD(39, 96) = ( 39 x 96 ) / 1248
= 39 / 96
= 39
Step3:
LCM(3, 292) = 876
GCD(3, 292) = ( 3 x 292 ) / 876
= 3 / 292
= 3
So, Greatest Common Divisor of 975, 702, 96, 292 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 975, 702, 96, 292
The greatest common divisor of numbers 975, 702, 96, 292 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 975, 702, 96, 292 is 1.
1. What is the GCD of 975, 702, 96, 292?
GCD of given numbers 975, 702, 96, 292 is 1
2. How to calculate the greatest common divisor of 975, 702, 96, 292?
We can find the highest common divisor of 975, 702, 96, 292 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 975, 702, 96, 292 i.e 1.
3. How can I use the GCD of 975, 702, 96, 292Calculator?
Out the numbers 975, 702, 96, 292 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.