GCD of 798, 938, 770, 826 Calculator

Given Input numbers are 798, 938, 770, 826

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

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 770 :

The positive integer divisors of 770 that completely divides 770 are.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826

GCD of numbers is the greatest common divisor

So, the GCD (798, 938, 770, 826) = 14.

Given numbers are 798, 938, 770, 826

The list of prime factors of all numbers are

Prime factors of 798 are 2 x 3 x 7 x 19

Prime factors of 938 are 2 x 7 x 67

Prime factors of 770 are 2 x 5 x 7 x 11

Prime factors of 826 are 2 x 7 x 59

The highest common occurrence is 2¹ x 7¹

Therefore, GCD of 798, 938, 770, 826 is 14.

Given numbers are 798, 938, 770, 826

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

Apply this formula for all numbers.

Step1:

LCM(798, 938) = 53466

GCD(798, 938) = ( 798 x 938 ) / 53466

= 798 / 938

= 798

Step2:

LCM(14, 770) = 770

GCD(14, 770) = ( 14 x 770 ) / 770

= 14 / 770

= 14

Step3:

LCM(14, 826) = 826

GCD(14, 826) = ( 14 x 826 ) / 826

= 14 / 826

= 14

So, Greatest Common Divisor of 798, 938, 770, 826 is 14

Here are some samples of GCD of Numbers calculations.

• GCD of 290, 212, 717, 364
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• GCD of 952, 341, 137, 511
• GCD of 815, 810, 995, 251

Given numbers are 798, 938, 770, 826
The greatest common divisor of numbers 798, 938, 770, 826 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 798, 938, 770, 826 is 14.

1. What is the GCD of 798, 938, 770, 826?

GCD of given numbers 798, 938, 770, 826 is 14

2. How to calculate the greatest common divisor of 798, 938, 770, 826?

We can find the highest common divisor of 798, 938, 770, 826 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 798, 938, 770, 826 i.e 14.

3. How can I use the GCD of 798, 938, 770, 826Calculator?

Out the numbers 798, 938, 770, 826 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.