Online GCD Calculator is useful to find the GCD of 748, 112, 280, 676 quickly. Get the easiest ways to solve the greatest common divisor of 748, 112, 280, 676 i.e 4 in different methods as follows.
Given Input numbers are 748, 112, 280, 676
In the factoring method, we have to find the divisors of all numbers
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 280 :
The positive integer divisors of 280 that completely divides 280 are.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Divisors of 676 :
The positive integer divisors of 676 that completely divides 676 are.
1, 2, 4, 13, 26, 52, 169, 338, 676
GCD of numbers is the greatest common divisor
So, the GCD (748, 112, 280, 676) = 4.
Given numbers are 748, 112, 280, 676
The list of prime factors of all numbers are
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 280 are 2 x 2 x 2 x 5 x 7
Prime factors of 676 are 2 x 2 x 13 x 13
The highest common occurrence is 22
Therefore, GCD of 748, 112, 280, 676 is 4.
Given numbers are 748, 112, 280, 676
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(748, 112) = 20944
GCD(748, 112) = ( 748 x 112 ) / 20944
= 748 / 112
= 748
Step2:
LCM(4, 280) = 280
GCD(4, 280) = ( 4 x 280 ) / 280
= 4 / 280
= 4
Step3:
LCM(4, 676) = 676
GCD(4, 676) = ( 4 x 676 ) / 676
= 4 / 676
= 4
So, Greatest Common Divisor of 748, 112, 280, 676 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 748, 112, 280, 676
The greatest common divisor of numbers 748, 112, 280, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 112, 280, 676 is 4.
1. What is the GCD of 748, 112, 280, 676?
GCD of given numbers 748, 112, 280, 676 is 4
2. How to calculate the greatest common divisor of 748, 112, 280, 676?
We can find the highest common divisor of 748, 112, 280, 676 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 748, 112, 280, 676 i.e 4.
3. How can I use the GCD of 748, 112, 280, 676Calculator?
Out the numbers 748, 112, 280, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.