Online GCD Calculator is useful to find the GCD of 420, 532, 140 quickly. Get the easiest ways to solve the greatest common divisor of 420, 532, 140 i.e 28 in different methods as follows.
Given Input numbers are 420, 532, 140
In the factoring method, we have to find the divisors of all numbers
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 532 :
The positive integer divisors of 532 that completely divides 532 are.
1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
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 (420, 532, 140) = 28.
Given numbers are 420, 532, 140
The list of prime factors of all numbers are
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 532 are 2 x 2 x 7 x 19
Prime factors of 140 are 2 x 2 x 5 x 7
The highest common occurrence is 22 x 71
Therefore, GCD of 420, 532, 140 is 28.
Given numbers are 420, 532, 140
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(420, 532) = 7980
GCD(420, 532) = ( 420 x 532 ) / 7980
= 420 / 532
= 420
Step2:
LCM(28, 140) = 140
GCD(28, 140) = ( 28 x 140 ) / 140
= 28 / 140
= 28
So, Greatest Common Divisor of 420, 532, 140 is 28
Here are some samples of GCD of Numbers calculations.
Given numbers are 420, 532, 140
The greatest common divisor of numbers 420, 532, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 532, 140 is 28.
1. What is the GCD of 420, 532, 140?
GCD of given numbers 420, 532, 140 is 28
2. How to calculate the greatest common divisor of 420, 532, 140?
We can find the highest common divisor of 420, 532, 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 420, 532, 140 i.e 28.
3. How can I use the GCD of 420, 532, 140Calculator?
Out the numbers 420, 532, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.