Online GCD Calculator is useful to find the GCD of 454, 836, 972, 688 quickly. Get the easiest ways to solve the greatest common divisor of 454, 836, 972, 688 i.e 2 in different methods as follows.
Given Input numbers are 454, 836, 972, 688
In the factoring method, we have to find the divisors of all numbers
Divisors of 454 :
The positive integer divisors of 454 that completely divides 454 are.
1, 2, 227, 454
Divisors of 836 :
The positive integer divisors of 836 that completely divides 836 are.
1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 688 :
The positive integer divisors of 688 that completely divides 688 are.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
GCD of numbers is the greatest common divisor
So, the GCD (454, 836, 972, 688) = 2.
Given numbers are 454, 836, 972, 688
The list of prime factors of all numbers are
Prime factors of 454 are 2 x 227
Prime factors of 836 are 2 x 2 x 11 x 19
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 688 are 2 x 2 x 2 x 2 x 43
The highest common occurrence is 21
Therefore, GCD of 454, 836, 972, 688 is 2.
Given numbers are 454, 836, 972, 688
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(454, 836) = 189772
GCD(454, 836) = ( 454 x 836 ) / 189772
= 454 / 836
= 454
Step2:
LCM(2, 972) = 972
GCD(2, 972) = ( 2 x 972 ) / 972
= 2 / 972
= 2
Step3:
LCM(2, 688) = 688
GCD(2, 688) = ( 2 x 688 ) / 688
= 2 / 688
= 2
So, Greatest Common Divisor of 454, 836, 972, 688 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 454, 836, 972, 688
The greatest common divisor of numbers 454, 836, 972, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 454, 836, 972, 688 is 2.
1. What is the GCD of 454, 836, 972, 688?
GCD of given numbers 454, 836, 972, 688 is 2
2. How to calculate the greatest common divisor of 454, 836, 972, 688?
We can find the highest common divisor of 454, 836, 972, 688 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 454, 836, 972, 688 i.e 2.
3. How can I use the GCD of 454, 836, 972, 688Calculator?
Out the numbers 454, 836, 972, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.