Online GCD Calculator is useful to find the GCD of 974, 280, 358, 128 quickly. Get the easiest ways to solve the greatest common divisor of 974, 280, 358, 128 i.e 2 in different methods as follows.
Given Input numbers are 974, 280, 358, 128
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 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 358 :
The positive integer divisors of 358 that completely divides 358 are.
1, 2, 179, 358
Divisors of 128 :
The positive integer divisors of 128 that completely divides 128 are.
1, 2, 4, 8, 16, 32, 64, 128
GCD of numbers is the greatest common divisor
So, the GCD (974, 280, 358, 128) = 2.
Given numbers are 974, 280, 358, 128
The list of prime factors of all numbers are
Prime factors of 974 are 2 x 487
Prime factors of 280 are 2 x 2 x 2 x 5 x 7
Prime factors of 358 are 2 x 179
Prime factors of 128 are 2 x 2 x 2 x 2 x 2 x 2 x 2
The highest common occurrence is 21
Therefore, GCD of 974, 280, 358, 128 is 2.
Given numbers are 974, 280, 358, 128
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(974, 280) = 136360
GCD(974, 280) = ( 974 x 280 ) / 136360
= 974 / 280
= 974
Step2:
LCM(2, 358) = 358
GCD(2, 358) = ( 2 x 358 ) / 358
= 2 / 358
= 2
Step3:
LCM(2, 128) = 128
GCD(2, 128) = ( 2 x 128 ) / 128
= 2 / 128
= 2
So, Greatest Common Divisor of 974, 280, 358, 128 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 974, 280, 358, 128
The greatest common divisor of numbers 974, 280, 358, 128 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 974, 280, 358, 128 is 2.
1. What is the GCD of 974, 280, 358, 128?
GCD of given numbers 974, 280, 358, 128 is 2
2. How to calculate the greatest common divisor of 974, 280, 358, 128?
We can find the highest common divisor of 974, 280, 358, 128 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, 280, 358, 128 i.e 2.
3. How can I use the GCD of 974, 280, 358, 128Calculator?
Out the numbers 974, 280, 358, 128 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.