GCD of 782, 874, 308, 967 Calculator

Given Input numbers are 782, 874, 308, 967

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

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 967 :

The positive integer divisors of 967 that completely divides 967 are.

1, 967

GCD of numbers is the greatest common divisor

So, the GCD (782, 874, 308, 967) = 1.

Given numbers are 782, 874, 308, 967

The list of prime factors of all numbers are

Prime factors of 782 are 2 x 17 x 23

Prime factors of 874 are 2 x 19 x 23

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 967 are 967

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 782, 874, 308, 967

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

Apply this formula for all numbers.

Step1:

LCM(782, 874) = 14858

GCD(782, 874) = ( 782 x 874 ) / 14858

= 782 / 874

= 782

Step2:

LCM(46, 308) = 7084

GCD(46, 308) = ( 46 x 308 ) / 7084

= 46 / 308

= 46

Step3:

LCM(2, 967) = 1934

GCD(2, 967) = ( 2 x 967 ) / 1934

= 2 / 967

= 2

So, Greatest Common Divisor of 782, 874, 308, 967 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 966, 559, 704, 111
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Given numbers are 782, 874, 308, 967
The greatest common divisor of numbers 782, 874, 308, 967 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 874, 308, 967 is 1.

1. What is the GCD of 782, 874, 308, 967?

GCD of given numbers 782, 874, 308, 967 is 1

2. How to calculate the greatest common divisor of 782, 874, 308, 967?

We can find the highest common divisor of 782, 874, 308, 967 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 782, 874, 308, 967 i.e 1.

3. How can I use the GCD of 782, 874, 308, 967Calculator?

Out the numbers 782, 874, 308, 967 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.