Online GCD Calculator is useful to find the GCD of 630, 550, 140 quickly. Get the easiest ways to solve the greatest common divisor of 630, 550, 140 i.e 10 in different methods as follows.
Given Input numbers are 630, 550, 140
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 550 :
The positive integer divisors of 550 that completely divides 550 are.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
Divisors of 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
GCD of numbers is the greatest common divisor
So, the GCD (630, 550, 140) = 10.
Given numbers are 630, 550, 140
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 550 are 2 x 5 x 5 x 11
Prime factors of 140 are 2 x 2 x 5 x 7
The highest common occurrence is 21 x 51
Therefore, GCD of 630, 550, 140 is 10.
Given numbers are 630, 550, 140
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(630, 550) = 34650
GCD(630, 550) = ( 630 x 550 ) / 34650
= 630 / 550
= 630
Step2:
LCM(10, 140) = 140
GCD(10, 140) = ( 10 x 140 ) / 140
= 10 / 140
= 10
So, Greatest Common Divisor of 630, 550, 140 is 10
Here are some samples of GCD of Numbers calculations.
Given numbers are 630, 550, 140
The greatest common divisor of numbers 630, 550, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 630, 550, 140 is 10.
1. What is the GCD of 630, 550, 140?
GCD of given numbers 630, 550, 140 is 10
2. How to calculate the greatest common divisor of 630, 550, 140?
We can find the highest common divisor of 630, 550, 140 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, 550, 140 i.e 10.
3. How can I use the GCD of 630, 550, 140Calculator?
Out the numbers 630, 550, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.