Online GCD Calculator is useful to find the GCD of 560, 707, 948, 849 quickly. Get the easiest ways to solve the greatest common divisor of 560, 707, 948, 849 i.e 1 in different methods as follows.
Given Input numbers are 560, 707, 948, 849
In the factoring method, we have to find the divisors of all numbers
Divisors of 560 :
The positive integer divisors of 560 that completely divides 560 are.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
Divisors of 707 :
The positive integer divisors of 707 that completely divides 707 are.
1, 7, 101, 707
Divisors of 948 :
The positive integer divisors of 948 that completely divides 948 are.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Divisors of 849 :
The positive integer divisors of 849 that completely divides 849 are.
1, 3, 283, 849
GCD of numbers is the greatest common divisor
So, the GCD (560, 707, 948, 849) = 1.
Given numbers are 560, 707, 948, 849
The list of prime factors of all numbers are
Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7
Prime factors of 707 are 7 x 101
Prime factors of 948 are 2 x 2 x 3 x 79
Prime factors of 849 are 3 x 283
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 560, 707, 948, 849
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(560, 707) = 56560
GCD(560, 707) = ( 560 x 707 ) / 56560
= 560 / 707
= 560
Step2:
LCM(7, 948) = 6636
GCD(7, 948) = ( 7 x 948 ) / 6636
= 7 / 948
= 7
Step3:
LCM(1, 849) = 849
GCD(1, 849) = ( 1 x 849 ) / 849
= 1 / 849
= 1
So, Greatest Common Divisor of 560, 707, 948, 849 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 560, 707, 948, 849
The greatest common divisor of numbers 560, 707, 948, 849 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 560, 707, 948, 849 is 1.
1. What is the GCD of 560, 707, 948, 849?
GCD of given numbers 560, 707, 948, 849 is 1
2. How to calculate the greatest common divisor of 560, 707, 948, 849?
We can find the highest common divisor of 560, 707, 948, 849 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 560, 707, 948, 849 i.e 1.
3. How can I use the GCD of 560, 707, 948, 849Calculator?
Out the numbers 560, 707, 948, 849 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.