Online GCD Calculator is useful to find the GCD of 974, 926, 350, 270 quickly. Get the easiest ways to solve the greatest common divisor of 974, 926, 350, 270 i.e 2 in different methods as follows.
Given Input numbers are 974, 926, 350, 270
In the factoring method, we have to find the divisors of all numbers
Divisors of 974 :
The positive integer divisors of 974 that completely divides 974 are.
1, 2, 487, 974
Divisors of 926 :
The positive integer divisors of 926 that completely divides 926 are.
1, 2, 463, 926
Divisors of 350 :
The positive integer divisors of 350 that completely divides 350 are.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
GCD of numbers is the greatest common divisor
So, the GCD (974, 926, 350, 270) = 2.
Given numbers are 974, 926, 350, 270
The list of prime factors of all numbers are
Prime factors of 974 are 2 x 487
Prime factors of 926 are 2 x 463
Prime factors of 350 are 2 x 5 x 5 x 7
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 974, 926, 350, 270 is 2.
Given numbers are 974, 926, 350, 270
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(974, 926) = 450962
GCD(974, 926) = ( 974 x 926 ) / 450962
= 974 / 926
= 974
Step2:
LCM(2, 350) = 350
GCD(2, 350) = ( 2 x 350 ) / 350
= 2 / 350
= 2
Step3:
LCM(2, 270) = 270
GCD(2, 270) = ( 2 x 270 ) / 270
= 2 / 270
= 2
So, Greatest Common Divisor of 974, 926, 350, 270 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 974, 926, 350, 270
The greatest common divisor of numbers 974, 926, 350, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 974, 926, 350, 270 is 2.
1. What is the GCD of 974, 926, 350, 270?
GCD of given numbers 974, 926, 350, 270 is 2
2. How to calculate the greatest common divisor of 974, 926, 350, 270?
We can find the highest common divisor of 974, 926, 350, 270 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 974, 926, 350, 270 i.e 2.
3. How can I use the GCD of 974, 926, 350, 270Calculator?
Out the numbers 974, 926, 350, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.