Online GCD Calculator is useful to find the GCD of 252, 448, 748, 677 quickly. Get the easiest ways to solve the greatest common divisor of 252, 448, 748, 677 i.e 1 in different methods as follows.
Given Input numbers are 252, 448, 748, 677
In the factoring method, we have to find the divisors of all numbers
Divisors of 252 :
The positive integer divisors of 252 that completely divides 252 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
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 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 677 :
The positive integer divisors of 677 that completely divides 677 are.
1, 677
GCD of numbers is the greatest common divisor
So, the GCD (252, 448, 748, 677) = 1.
Given numbers are 252, 448, 748, 677
The list of prime factors of all numbers are
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 677 are 677
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 252, 448, 748, 677
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(252, 448) = 4032
GCD(252, 448) = ( 252 x 448 ) / 4032
= 252 / 448
= 252
Step2:
LCM(28, 748) = 5236
GCD(28, 748) = ( 28 x 748 ) / 5236
= 28 / 748
= 28
Step3:
LCM(4, 677) = 2708
GCD(4, 677) = ( 4 x 677 ) / 2708
= 4 / 677
= 4
So, Greatest Common Divisor of 252, 448, 748, 677 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 252, 448, 748, 677
The greatest common divisor of numbers 252, 448, 748, 677 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 252, 448, 748, 677 is 1.
1. What is the GCD of 252, 448, 748, 677?
GCD of given numbers 252, 448, 748, 677 is 1
2. How to calculate the greatest common divisor of 252, 448, 748, 677?
We can find the highest common divisor of 252, 448, 748, 677 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 252, 448, 748, 677 i.e 1.
3. How can I use the GCD of 252, 448, 748, 677Calculator?
Out the numbers 252, 448, 748, 677 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.