Online GCD Calculator is useful to find the GCD of 548, 448, 902, 680 quickly. Get the easiest ways to solve the greatest common divisor of 548, 448, 902, 680 i.e 2 in different methods as follows.
Given Input numbers are 548, 448, 902, 680
In the factoring method, we have to find the divisors of all numbers
Divisors of 548 :
The positive integer divisors of 548 that completely divides 548 are.
1, 2, 4, 137, 274, 548
Divisors of 448 :
The positive integer divisors of 448 that completely divides 448 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
Divisors of 902 :
The positive integer divisors of 902 that completely divides 902 are.
1, 2, 11, 22, 41, 82, 451, 902
Divisors of 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
GCD of numbers is the greatest common divisor
So, the GCD (548, 448, 902, 680) = 2.
Given numbers are 548, 448, 902, 680
The list of prime factors of all numbers are
Prime factors of 548 are 2 x 2 x 137
Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 902 are 2 x 11 x 41
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
The highest common occurrence is 21
Therefore, GCD of 548, 448, 902, 680 is 2.
Given numbers are 548, 448, 902, 680
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(548, 448) = 61376
GCD(548, 448) = ( 548 x 448 ) / 61376
= 548 / 448
= 548
Step2:
LCM(4, 902) = 1804
GCD(4, 902) = ( 4 x 902 ) / 1804
= 4 / 902
= 4
Step3:
LCM(2, 680) = 680
GCD(2, 680) = ( 2 x 680 ) / 680
= 2 / 680
= 2
So, Greatest Common Divisor of 548, 448, 902, 680 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 548, 448, 902, 680
The greatest common divisor of numbers 548, 448, 902, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 548, 448, 902, 680 is 2.
1. What is the GCD of 548, 448, 902, 680?
GCD of given numbers 548, 448, 902, 680 is 2
2. How to calculate the greatest common divisor of 548, 448, 902, 680?
We can find the highest common divisor of 548, 448, 902, 680 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 548, 448, 902, 680 i.e 2.
3. How can I use the GCD of 548, 448, 902, 680Calculator?
Out the numbers 548, 448, 902, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.