Online GCD Calculator is useful to find the GCD of 802, 374, 974, 564 quickly. Get the easiest ways to solve the greatest common divisor of 802, 374, 974, 564 i.e 2 in different methods as follows.
Given Input numbers are 802, 374, 974, 564
In the factoring method, we have to find the divisors of all numbers
Divisors of 802 :
The positive integer divisors of 802 that completely divides 802 are.
1, 2, 401, 802
Divisors of 374 :
The positive integer divisors of 374 that completely divides 374 are.
1, 2, 11, 17, 22, 34, 187, 374
Divisors of 974 :
The positive integer divisors of 974 that completely divides 974 are.
1, 2, 487, 974
Divisors of 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
GCD of numbers is the greatest common divisor
So, the GCD (802, 374, 974, 564) = 2.
Given numbers are 802, 374, 974, 564
The list of prime factors of all numbers are
Prime factors of 802 are 2 x 401
Prime factors of 374 are 2 x 11 x 17
Prime factors of 974 are 2 x 487
Prime factors of 564 are 2 x 2 x 3 x 47
The highest common occurrence is 21
Therefore, GCD of 802, 374, 974, 564 is 2.
Given numbers are 802, 374, 974, 564
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(802, 374) = 149974
GCD(802, 374) = ( 802 x 374 ) / 149974
= 802 / 374
= 802
Step2:
LCM(2, 974) = 974
GCD(2, 974) = ( 2 x 974 ) / 974
= 2 / 974
= 2
Step3:
LCM(2, 564) = 564
GCD(2, 564) = ( 2 x 564 ) / 564
= 2 / 564
= 2
So, Greatest Common Divisor of 802, 374, 974, 564 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 802, 374, 974, 564
The greatest common divisor of numbers 802, 374, 974, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 802, 374, 974, 564 is 2.
1. What is the GCD of 802, 374, 974, 564?
GCD of given numbers 802, 374, 974, 564 is 2
2. How to calculate the greatest common divisor of 802, 374, 974, 564?
We can find the highest common divisor of 802, 374, 974, 564 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 802, 374, 974, 564 i.e 2.
3. How can I use the GCD of 802, 374, 974, 564Calculator?
Out the numbers 802, 374, 974, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.