Online GCD Calculator is useful to find the GCD of 832, 980, 674, 954 quickly. Get the easiest ways to solve the greatest common divisor of 832, 980, 674, 954 i.e 2 in different methods as follows.
Given Input numbers are 832, 980, 674, 954
In the factoring method, we have to find the divisors of all numbers
Divisors of 832 :
The positive integer divisors of 832 that completely divides 832 are.
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
Divisors of 980 :
The positive integer divisors of 980 that completely divides 980 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
Divisors of 674 :
The positive integer divisors of 674 that completely divides 674 are.
1, 2, 337, 674
Divisors of 954 :
The positive integer divisors of 954 that completely divides 954 are.
1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
GCD of numbers is the greatest common divisor
So, the GCD (832, 980, 674, 954) = 2.
Given numbers are 832, 980, 674, 954
The list of prime factors of all numbers are
Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13
Prime factors of 980 are 2 x 2 x 5 x 7 x 7
Prime factors of 674 are 2 x 337
Prime factors of 954 are 2 x 3 x 3 x 53
The highest common occurrence is 21
Therefore, GCD of 832, 980, 674, 954 is 2.
Given numbers are 832, 980, 674, 954
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(832, 980) = 203840
GCD(832, 980) = ( 832 x 980 ) / 203840
= 832 / 980
= 832
Step2:
LCM(4, 674) = 1348
GCD(4, 674) = ( 4 x 674 ) / 1348
= 4 / 674
= 4
Step3:
LCM(2, 954) = 954
GCD(2, 954) = ( 2 x 954 ) / 954
= 2 / 954
= 2
So, Greatest Common Divisor of 832, 980, 674, 954 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 832, 980, 674, 954
The greatest common divisor of numbers 832, 980, 674, 954 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 832, 980, 674, 954 is 2.
1. What is the GCD of 832, 980, 674, 954?
GCD of given numbers 832, 980, 674, 954 is 2
2. How to calculate the greatest common divisor of 832, 980, 674, 954?
We can find the highest common divisor of 832, 980, 674, 954 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 832, 980, 674, 954 i.e 2.
3. How can I use the GCD of 832, 980, 674, 954Calculator?
Out the numbers 832, 980, 674, 954 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.