Online GCD Calculator is useful to find the GCD of 274, 975, 835, 698 quickly. Get the easiest ways to solve the greatest common divisor of 274, 975, 835, 698 i.e 1 in different methods as follows.
Given Input numbers are 274, 975, 835, 698
In the factoring method, we have to find the divisors of all numbers
Divisors of 274 :
The positive integer divisors of 274 that completely divides 274 are.
1, 2, 137, 274
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 835 :
The positive integer divisors of 835 that completely divides 835 are.
1, 5, 167, 835
Divisors of 698 :
The positive integer divisors of 698 that completely divides 698 are.
1, 2, 349, 698
GCD of numbers is the greatest common divisor
So, the GCD (274, 975, 835, 698) = 1.
Given numbers are 274, 975, 835, 698
The list of prime factors of all numbers are
Prime factors of 274 are 2 x 137
Prime factors of 975 are 3 x 5 x 5 x 13
Prime factors of 835 are 5 x 167
Prime factors of 698 are 2 x 349
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 274, 975, 835, 698
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(274, 975) = 267150
GCD(274, 975) = ( 274 x 975 ) / 267150
= 274 / 975
= 274
Step2:
LCM(1, 835) = 835
GCD(1, 835) = ( 1 x 835 ) / 835
= 1 / 835
= 1
Step3:
LCM(1, 698) = 698
GCD(1, 698) = ( 1 x 698 ) / 698
= 1 / 698
= 1
So, Greatest Common Divisor of 274, 975, 835, 698 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 274, 975, 835, 698
The greatest common divisor of numbers 274, 975, 835, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 274, 975, 835, 698 is 1.
1. What is the GCD of 274, 975, 835, 698?
GCD of given numbers 274, 975, 835, 698 is 1
2. How to calculate the greatest common divisor of 274, 975, 835, 698?
We can find the highest common divisor of 274, 975, 835, 698 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 274, 975, 835, 698 i.e 1.
3. How can I use the GCD of 274, 975, 835, 698Calculator?
Out the numbers 274, 975, 835, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.