Online GCD Calculator is useful to find the GCD of 974, 870, 520, 650 quickly. Get the easiest ways to solve the greatest common divisor of 974, 870, 520, 650 i.e 2 in different methods as follows.
Given Input numbers are 974, 870, 520, 650
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 870 :
The positive integer divisors of 870 that completely divides 870 are.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
Divisors of 520 :
The positive integer divisors of 520 that completely divides 520 are.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Divisors of 650 :
The positive integer divisors of 650 that completely divides 650 are.
1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
GCD of numbers is the greatest common divisor
So, the GCD (974, 870, 520, 650) = 2.
Given numbers are 974, 870, 520, 650
The list of prime factors of all numbers are
Prime factors of 974 are 2 x 487
Prime factors of 870 are 2 x 3 x 5 x 29
Prime factors of 520 are 2 x 2 x 2 x 5 x 13
Prime factors of 650 are 2 x 5 x 5 x 13
The highest common occurrence is 21
Therefore, GCD of 974, 870, 520, 650 is 2.
Given numbers are 974, 870, 520, 650
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(974, 870) = 423690
GCD(974, 870) = ( 974 x 870 ) / 423690
= 974 / 870
= 974
Step2:
LCM(2, 520) = 520
GCD(2, 520) = ( 2 x 520 ) / 520
= 2 / 520
= 2
Step3:
LCM(2, 650) = 650
GCD(2, 650) = ( 2 x 650 ) / 650
= 2 / 650
= 2
So, Greatest Common Divisor of 974, 870, 520, 650 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 974, 870, 520, 650
The greatest common divisor of numbers 974, 870, 520, 650 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 974, 870, 520, 650 is 2.
1. What is the GCD of 974, 870, 520, 650?
GCD of given numbers 974, 870, 520, 650 is 2
2. How to calculate the greatest common divisor of 974, 870, 520, 650?
We can find the highest common divisor of 974, 870, 520, 650 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, 870, 520, 650 i.e 2.
3. How can I use the GCD of 974, 870, 520, 650Calculator?
Out the numbers 974, 870, 520, 650 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.