Online GCD Calculator is useful to find the GCD of 870, 801, 507, 742 quickly. Get the easiest ways to solve the greatest common divisor of 870, 801, 507, 742 i.e 1 in different methods as follows.
Given Input numbers are 870, 801, 507, 742
In the factoring method, we have to find the divisors of all numbers
Divisors of 870 :
The positive integer divisors of 870 that completely divides 870 are.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
Divisors of 801 :
The positive integer divisors of 801 that completely divides 801 are.
1, 3, 9, 89, 267, 801
Divisors of 507 :
The positive integer divisors of 507 that completely divides 507 are.
1, 3, 13, 39, 169, 507
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
GCD of numbers is the greatest common divisor
So, the GCD (870, 801, 507, 742) = 1.
Given numbers are 870, 801, 507, 742
The list of prime factors of all numbers are
Prime factors of 870 are 2 x 3 x 5 x 29
Prime factors of 801 are 3 x 3 x 89
Prime factors of 507 are 3 x 13 x 13
Prime factors of 742 are 2 x 7 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 870, 801, 507, 742
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(870, 801) = 232290
GCD(870, 801) = ( 870 x 801 ) / 232290
= 870 / 801
= 870
Step2:
LCM(3, 507) = 507
GCD(3, 507) = ( 3 x 507 ) / 507
= 3 / 507
= 3
Step3:
LCM(3, 742) = 2226
GCD(3, 742) = ( 3 x 742 ) / 2226
= 3 / 742
= 3
So, Greatest Common Divisor of 870, 801, 507, 742 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 870, 801, 507, 742
The greatest common divisor of numbers 870, 801, 507, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 870, 801, 507, 742 is 1.
1. What is the GCD of 870, 801, 507, 742?
GCD of given numbers 870, 801, 507, 742 is 1
2. How to calculate the greatest common divisor of 870, 801, 507, 742?
We can find the highest common divisor of 870, 801, 507, 742 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 870, 801, 507, 742 i.e 1.
3. How can I use the GCD of 870, 801, 507, 742Calculator?
Out the numbers 870, 801, 507, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.