GCD of 760, 838, 988, 218 Calculator

Given Input numbers are 760, 838, 988, 218

In the factoring method, we have to find the divisors of all numbers

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 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

GCD of numbers is the greatest common divisor

So, the GCD (760, 838, 988, 218) = 2.

Given numbers are 760, 838, 988, 218

The list of prime factors of all numbers are

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

Prime factors of 838 are 2 x 419

Prime factors of 988 are 2 x 2 x 13 x 19

Prime factors of 218 are 2 x 109

The highest common occurrence is 2¹

Therefore, GCD of 760, 838, 988, 218 is 2.

Given numbers are 760, 838, 988, 218

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(760, 838) = 318440

GCD(760, 838) = ( 760 x 838 ) / 318440

= 760 / 838

= 760

Step2:

LCM(2, 988) = 988

GCD(2, 988) = ( 2 x 988 ) / 988

= 2 / 988

= 2

Step3:

LCM(2, 218) = 218

GCD(2, 218) = ( 2 x 218 ) / 218

= 2 / 218

= 2

So, Greatest Common Divisor of 760, 838, 988, 218 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 918, 563, 263, 988
• GCD of 770, 723, 831, 888
• GCD of 910, 659, 279, 338
• GCD of 297, 624, 221, 563
• GCD of 650, 352, 259, 908

Given numbers are 760, 838, 988, 218
The greatest common divisor of numbers 760, 838, 988, 218 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 760, 838, 988, 218 is 2.

1. What is the GCD of 760, 838, 988, 218?

GCD of given numbers 760, 838, 988, 218 is 2

2. How to calculate the greatest common divisor of 760, 838, 988, 218?

We can find the highest common divisor of 760, 838, 988, 218 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 760, 838, 988, 218 i.e 2.

3. How can I use the GCD of 760, 838, 988, 218Calculator?

Out the numbers 760, 838, 988, 218 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.