Online GCD Calculator is useful to find the GCD of 840, 598, 947, 748 quickly. Get the easiest ways to solve the greatest common divisor of 840, 598, 947, 748 i.e 1 in different methods as follows.
Given Input numbers are 840, 598, 947, 748
In the factoring method, we have to find the divisors of all numbers
Divisors of 840 :
The positive integer divisors of 840 that completely divides 840 are.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Divisors of 598 :
The positive integer divisors of 598 that completely divides 598 are.
1, 2, 13, 23, 26, 46, 299, 598
Divisors of 947 :
The positive integer divisors of 947 that completely divides 947 are.
1, 947
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
GCD of numbers is the greatest common divisor
So, the GCD (840, 598, 947, 748) = 1.
Given numbers are 840, 598, 947, 748
The list of prime factors of all numbers are
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
Prime factors of 598 are 2 x 13 x 23
Prime factors of 947 are 947
Prime factors of 748 are 2 x 2 x 11 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 840, 598, 947, 748
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(840, 598) = 251160
GCD(840, 598) = ( 840 x 598 ) / 251160
= 840 / 598
= 840
Step2:
LCM(2, 947) = 1894
GCD(2, 947) = ( 2 x 947 ) / 1894
= 2 / 947
= 2
Step3:
LCM(1, 748) = 748
GCD(1, 748) = ( 1 x 748 ) / 748
= 1 / 748
= 1
So, Greatest Common Divisor of 840, 598, 947, 748 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 840, 598, 947, 748
The greatest common divisor of numbers 840, 598, 947, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 598, 947, 748 is 1.
1. What is the GCD of 840, 598, 947, 748?
GCD of given numbers 840, 598, 947, 748 is 1
2. How to calculate the greatest common divisor of 840, 598, 947, 748?
We can find the highest common divisor of 840, 598, 947, 748 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 840, 598, 947, 748 i.e 1.
3. How can I use the GCD of 840, 598, 947, 748Calculator?
Out the numbers 840, 598, 947, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.