Online GCD Calculator is useful to find the GCD of 974, 702, 266, 536 quickly. Get the easiest ways to solve the greatest common divisor of 974, 702, 266, 536 i.e 2 in different methods as follows.
Given Input numbers are 974, 702, 266, 536
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 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 266 :
The positive integer divisors of 266 that completely divides 266 are.
1, 2, 7, 14, 19, 38, 133, 266
Divisors of 536 :
The positive integer divisors of 536 that completely divides 536 are.
1, 2, 4, 8, 67, 134, 268, 536
GCD of numbers is the greatest common divisor
So, the GCD (974, 702, 266, 536) = 2.
Given numbers are 974, 702, 266, 536
The list of prime factors of all numbers are
Prime factors of 974 are 2 x 487
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
Prime factors of 266 are 2 x 7 x 19
Prime factors of 536 are 2 x 2 x 2 x 67
The highest common occurrence is 21
Therefore, GCD of 974, 702, 266, 536 is 2.
Given numbers are 974, 702, 266, 536
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(974, 702) = 341874
GCD(974, 702) = ( 974 x 702 ) / 341874
= 974 / 702
= 974
Step2:
LCM(2, 266) = 266
GCD(2, 266) = ( 2 x 266 ) / 266
= 2 / 266
= 2
Step3:
LCM(2, 536) = 536
GCD(2, 536) = ( 2 x 536 ) / 536
= 2 / 536
= 2
So, Greatest Common Divisor of 974, 702, 266, 536 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 974, 702, 266, 536
The greatest common divisor of numbers 974, 702, 266, 536 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 974, 702, 266, 536 is 2.
1. What is the GCD of 974, 702, 266, 536?
GCD of given numbers 974, 702, 266, 536 is 2
2. How to calculate the greatest common divisor of 974, 702, 266, 536?
We can find the highest common divisor of 974, 702, 266, 536 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, 702, 266, 536 i.e 2.
3. How can I use the GCD of 974, 702, 266, 536Calculator?
Out the numbers 974, 702, 266, 536 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.