Online GCD Calculator is useful to find the GCD of 274, 489, 680, 946 quickly. Get the easiest ways to solve the greatest common divisor of 274, 489, 680, 946 i.e 1 in different methods as follows.
Given Input numbers are 274, 489, 680, 946
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 489 :
The positive integer divisors of 489 that completely divides 489 are.
1, 3, 163, 489
Divisors of 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 946 :
The positive integer divisors of 946 that completely divides 946 are.
1, 2, 11, 22, 43, 86, 473, 946
GCD of numbers is the greatest common divisor
So, the GCD (274, 489, 680, 946) = 1.
Given numbers are 274, 489, 680, 946
The list of prime factors of all numbers are
Prime factors of 274 are 2 x 137
Prime factors of 489 are 3 x 163
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
Prime factors of 946 are 2 x 11 x 43
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 274, 489, 680, 946
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(274, 489) = 133986
GCD(274, 489) = ( 274 x 489 ) / 133986
= 274 / 489
= 274
Step2:
LCM(1, 680) = 680
GCD(1, 680) = ( 1 x 680 ) / 680
= 1 / 680
= 1
Step3:
LCM(1, 946) = 946
GCD(1, 946) = ( 1 x 946 ) / 946
= 1 / 946
= 1
So, Greatest Common Divisor of 274, 489, 680, 946 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 274, 489, 680, 946
The greatest common divisor of numbers 274, 489, 680, 946 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 274, 489, 680, 946 is 1.
1. What is the GCD of 274, 489, 680, 946?
GCD of given numbers 274, 489, 680, 946 is 1
2. How to calculate the greatest common divisor of 274, 489, 680, 946?
We can find the highest common divisor of 274, 489, 680, 946 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, 489, 680, 946 i.e 1.
3. How can I use the GCD of 274, 489, 680, 946Calculator?
Out the numbers 274, 489, 680, 946 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.