Online GCD Calculator is useful to find the GCD of 630, 370, 700, 870 quickly. Get the easiest ways to solve the greatest common divisor of 630, 370, 700, 870 i.e 10 in different methods as follows.
Given Input numbers are 630, 370, 700, 870
In the factoring method, we have to find the divisors of all numbers
Divisors of 630 :
The positive integer divisors of 630 that completely divides 630 are.
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
Divisors of 370 :
The positive integer divisors of 370 that completely divides 370 are.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 700 :
The positive integer divisors of 700 that completely divides 700 are.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
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
GCD of numbers is the greatest common divisor
So, the GCD (630, 370, 700, 870) = 10.
Given numbers are 630, 370, 700, 870
The list of prime factors of all numbers are
Prime factors of 630 are 2 x 3 x 3 x 5 x 7
Prime factors of 370 are 2 x 5 x 37
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
Prime factors of 870 are 2 x 3 x 5 x 29
The highest common occurrence is 21 x 51
Therefore, GCD of 630, 370, 700, 870 is 10.
Given numbers are 630, 370, 700, 870
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(630, 370) = 23310
GCD(630, 370) = ( 630 x 370 ) / 23310
= 630 / 370
= 630
Step2:
LCM(10, 700) = 700
GCD(10, 700) = ( 10 x 700 ) / 700
= 10 / 700
= 10
Step3:
LCM(10, 870) = 870
GCD(10, 870) = ( 10 x 870 ) / 870
= 10 / 870
= 10
So, Greatest Common Divisor of 630, 370, 700, 870 is 10
Here are some samples of GCD of Numbers calculations.
Given numbers are 630, 370, 700, 870
The greatest common divisor of numbers 630, 370, 700, 870 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 630, 370, 700, 870 is 10.
1. What is the GCD of 630, 370, 700, 870?
GCD of given numbers 630, 370, 700, 870 is 10
2. How to calculate the greatest common divisor of 630, 370, 700, 870?
We can find the highest common divisor of 630, 370, 700, 870 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 630, 370, 700, 870 i.e 10.
3. How can I use the GCD of 630, 370, 700, 870Calculator?
Out the numbers 630, 370, 700, 870 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.