Online GCD Calculator is useful to find the GCD of 642, 278, 140, 130 quickly. Get the easiest ways to solve the greatest common divisor of 642, 278, 140, 130 i.e 2 in different methods as follows.
Given Input numbers are 642, 278, 140, 130
In the factoring method, we have to find the divisors of all numbers
Divisors of 642 :
The positive integer divisors of 642 that completely divides 642 are.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 278 :
The positive integer divisors of 278 that completely divides 278 are.
1, 2, 139, 278
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
Divisors of 130 :
The positive integer divisors of 130 that completely divides 130 are.
1, 2, 5, 10, 13, 26, 65, 130
GCD of numbers is the greatest common divisor
So, the GCD (642, 278, 140, 130) = 2.
Given numbers are 642, 278, 140, 130
The list of prime factors of all numbers are
Prime factors of 642 are 2 x 3 x 107
Prime factors of 278 are 2 x 139
Prime factors of 140 are 2 x 2 x 5 x 7
Prime factors of 130 are 2 x 5 x 13
The highest common occurrence is 21
Therefore, GCD of 642, 278, 140, 130 is 2.
Given numbers are 642, 278, 140, 130
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(642, 278) = 89238
GCD(642, 278) = ( 642 x 278 ) / 89238
= 642 / 278
= 642
Step2:
LCM(2, 140) = 140
GCD(2, 140) = ( 2 x 140 ) / 140
= 2 / 140
= 2
Step3:
LCM(2, 130) = 130
GCD(2, 130) = ( 2 x 130 ) / 130
= 2 / 130
= 2
So, Greatest Common Divisor of 642, 278, 140, 130 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 642, 278, 140, 130
The greatest common divisor of numbers 642, 278, 140, 130 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 642, 278, 140, 130 is 2.
1. What is the GCD of 642, 278, 140, 130?
GCD of given numbers 642, 278, 140, 130 is 2
2. How to calculate the greatest common divisor of 642, 278, 140, 130?
We can find the highest common divisor of 642, 278, 140, 130 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 642, 278, 140, 130 i.e 2.
3. How can I use the GCD of 642, 278, 140, 130Calculator?
Out the numbers 642, 278, 140, 130 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.