Online GCD Calculator is useful to find the GCD of 931, 140, 898, 172 quickly. Get the easiest ways to solve the greatest common divisor of 931, 140, 898, 172 i.e 1 in different methods as follows.
Given Input numbers are 931, 140, 898, 172
In the factoring method, we have to find the divisors of all numbers
Divisors of 931 :
The positive integer divisors of 931 that completely divides 931 are.
1, 7, 19, 49, 133, 931
Divisors of 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 898 :
The positive integer divisors of 898 that completely divides 898 are.
1, 2, 449, 898
Divisors of 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
GCD of numbers is the greatest common divisor
So, the GCD (931, 140, 898, 172) = 1.
Given numbers are 931, 140, 898, 172
The list of prime factors of all numbers are
Prime factors of 931 are 7 x 7 x 19
Prime factors of 140 are 2 x 2 x 5 x 7
Prime factors of 898 are 2 x 449
Prime factors of 172 are 2 x 2 x 43
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 931, 140, 898, 172
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(931, 140) = 18620
GCD(931, 140) = ( 931 x 140 ) / 18620
= 931 / 140
= 931
Step2:
LCM(7, 898) = 6286
GCD(7, 898) = ( 7 x 898 ) / 6286
= 7 / 898
= 7
Step3:
LCM(1, 172) = 172
GCD(1, 172) = ( 1 x 172 ) / 172
= 1 / 172
= 1
So, Greatest Common Divisor of 931, 140, 898, 172 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 931, 140, 898, 172
The greatest common divisor of numbers 931, 140, 898, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 931, 140, 898, 172 is 1.
1. What is the GCD of 931, 140, 898, 172?
GCD of given numbers 931, 140, 898, 172 is 1
2. How to calculate the greatest common divisor of 931, 140, 898, 172?
We can find the highest common divisor of 931, 140, 898, 172 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 931, 140, 898, 172 i.e 1.
3. How can I use the GCD of 931, 140, 898, 172Calculator?
Out the numbers 931, 140, 898, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.