Online GCD Calculator is useful to find the GCD of 426, 760, 140, 616 quickly. Get the easiest ways to solve the greatest common divisor of 426, 760, 140, 616 i.e 2 in different methods as follows.
Given Input numbers are 426, 760, 140, 616
In the factoring method, we have to find the divisors of all numbers
Divisors of 426 :
The positive integer divisors of 426 that completely divides 426 are.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 760 :
The positive integer divisors of 760 that completely divides 760 are.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
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 616 :
The positive integer divisors of 616 that completely divides 616 are.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
GCD of numbers is the greatest common divisor
So, the GCD (426, 760, 140, 616) = 2.
Given numbers are 426, 760, 140, 616
The list of prime factors of all numbers are
Prime factors of 426 are 2 x 3 x 71
Prime factors of 760 are 2 x 2 x 2 x 5 x 19
Prime factors of 140 are 2 x 2 x 5 x 7
Prime factors of 616 are 2 x 2 x 2 x 7 x 11
The highest common occurrence is 21
Therefore, GCD of 426, 760, 140, 616 is 2.
Given numbers are 426, 760, 140, 616
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(426, 760) = 161880
GCD(426, 760) = ( 426 x 760 ) / 161880
= 426 / 760
= 426
Step2:
LCM(2, 140) = 140
GCD(2, 140) = ( 2 x 140 ) / 140
= 2 / 140
= 2
Step3:
LCM(2, 616) = 616
GCD(2, 616) = ( 2 x 616 ) / 616
= 2 / 616
= 2
So, Greatest Common Divisor of 426, 760, 140, 616 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 426, 760, 140, 616
The greatest common divisor of numbers 426, 760, 140, 616 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 426, 760, 140, 616 is 2.
1. What is the GCD of 426, 760, 140, 616?
GCD of given numbers 426, 760, 140, 616 is 2
2. How to calculate the greatest common divisor of 426, 760, 140, 616?
We can find the highest common divisor of 426, 760, 140, 616 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 426, 760, 140, 616 i.e 2.
3. How can I use the GCD of 426, 760, 140, 616Calculator?
Out the numbers 426, 760, 140, 616 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.