Online GCD Calculator is useful to find the GCD of 274, 298, 280, 380 quickly. Get the easiest ways to solve the greatest common divisor of 274, 298, 280, 380 i.e 2 in different methods as follows.
Given Input numbers are 274, 298, 280, 380
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 298 :
The positive integer divisors of 298 that completely divides 298 are.
1, 2, 149, 298
Divisors of 280 :
The positive integer divisors of 280 that completely divides 280 are.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Divisors of 380 :
The positive integer divisors of 380 that completely divides 380 are.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
GCD of numbers is the greatest common divisor
So, the GCD (274, 298, 280, 380) = 2.
Given numbers are 274, 298, 280, 380
The list of prime factors of all numbers are
Prime factors of 274 are 2 x 137
Prime factors of 298 are 2 x 149
Prime factors of 280 are 2 x 2 x 2 x 5 x 7
Prime factors of 380 are 2 x 2 x 5 x 19
The highest common occurrence is 21
Therefore, GCD of 274, 298, 280, 380 is 2.
Given numbers are 274, 298, 280, 380
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(274, 298) = 40826
GCD(274, 298) = ( 274 x 298 ) / 40826
= 274 / 298
= 274
Step2:
LCM(2, 280) = 280
GCD(2, 280) = ( 2 x 280 ) / 280
= 2 / 280
= 2
Step3:
LCM(2, 380) = 380
GCD(2, 380) = ( 2 x 380 ) / 380
= 2 / 380
= 2
So, Greatest Common Divisor of 274, 298, 280, 380 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 274, 298, 280, 380
The greatest common divisor of numbers 274, 298, 280, 380 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 274, 298, 280, 380 is 2.
1. What is the GCD of 274, 298, 280, 380?
GCD of given numbers 274, 298, 280, 380 is 2
2. How to calculate the greatest common divisor of 274, 298, 280, 380?
We can find the highest common divisor of 274, 298, 280, 380 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, 298, 280, 380 i.e 2.
3. How can I use the GCD of 274, 298, 280, 380Calculator?
Out the numbers 274, 298, 280, 380 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.