Online GCD Calculator is useful to find the GCD of 154, 532, 140 quickly. Get the easiest ways to solve the greatest common divisor of 154, 532, 140 i.e 14 in different methods as follows.
Given Input numbers are 154, 532, 140
In the factoring method, we have to find the divisors of all numbers
Divisors of 154 :
The positive integer divisors of 154 that completely divides 154 are.
1, 2, 7, 11, 14, 22, 77, 154
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 (154, 532, 140) = 14.
Given numbers are 154, 532, 140
The list of prime factors of all numbers are
Prime factors of 154 are 2 x 7 x 11
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 21 x 71
Therefore, GCD of 154, 532, 140 is 14.
Given numbers are 154, 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(154, 532) = 5852
GCD(154, 532) = ( 154 x 532 ) / 5852
= 154 / 532
= 154
Step2:
LCM(14, 140) = 140
GCD(14, 140) = ( 14 x 140 ) / 140
= 14 / 140
= 14
So, Greatest Common Divisor of 154, 532, 140 is 14
Here are some samples of GCD of Numbers calculations.
Given numbers are 154, 532, 140
The greatest common divisor of numbers 154, 532, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 154, 532, 140 is 14.
1. What is the GCD of 154, 532, 140?
GCD of given numbers 154, 532, 140 is 14
2. How to calculate the greatest common divisor of 154, 532, 140?
We can find the highest common divisor of 154, 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 154, 532, 140 i.e 14.
3. How can I use the GCD of 154, 532, 140Calculator?
Out the numbers 154, 532, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.