GCD of 847, 966, 147, 238 Calculator

Given Input numbers are 847, 966, 147, 238

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

Divisors of 847 :

The positive integer divisors of 847 that completely divides 847 are.

1, 7, 11, 77, 121, 847

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

GCD of numbers is the greatest common divisor

So, the GCD (847, 966, 147, 238) = 7.

Given numbers are 847, 966, 147, 238

The list of prime factors of all numbers are

Prime factors of 847 are 7 x 11 x 11

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 147 are 3 x 7 x 7

Prime factors of 238 are 2 x 7 x 17

The highest common occurrence is 7¹

Therefore, GCD of 847, 966, 147, 238 is 7.

Given numbers are 847, 966, 147, 238

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

Apply this formula for all numbers.

Step1:

LCM(847, 966) = 116886

GCD(847, 966) = ( 847 x 966 ) / 116886

= 847 / 966

= 847

Step2:

LCM(7, 147) = 147

GCD(7, 147) = ( 7 x 147 ) / 147

= 7 / 147

= 7

Step3:

LCM(7, 238) = 238

GCD(7, 238) = ( 7 x 238 ) / 238

= 7 / 238

= 7

So, Greatest Common Divisor of 847, 966, 147, 238 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 821, 987, 328, 971
• GCD of 509, 783, 206, 778
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• GCD of 659, 493, 227, 568
• GCD of 293, 485, 689, 814

Given numbers are 847, 966, 147, 238
The greatest common divisor of numbers 847, 966, 147, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 847, 966, 147, 238 is 7.

1. What is the GCD of 847, 966, 147, 238?

GCD of given numbers 847, 966, 147, 238 is 7

2. How to calculate the greatest common divisor of 847, 966, 147, 238?

We can find the highest common divisor of 847, 966, 147, 238 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 847, 966, 147, 238 i.e 7.

3. How can I use the GCD of 847, 966, 147, 238Calculator?

Out the numbers 847, 966, 147, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.