GCD of 420, 112, 700, 847 Calculator

Given Input numbers are 420, 112, 700, 847

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

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 847 :

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

1, 7, 11, 77, 121, 847

GCD of numbers is the greatest common divisor

So, the GCD (420, 112, 700, 847) = 7.

Given numbers are 420, 112, 700, 847

The list of prime factors of all numbers are

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 847 are 7 x 11 x 11

The highest common occurrence is 7¹

Therefore, GCD of 420, 112, 700, 847 is 7.

Given numbers are 420, 112, 700, 847

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

Apply this formula for all numbers.

Step1:

LCM(420, 112) = 1680

GCD(420, 112) = ( 420 x 112 ) / 1680

= 420 / 112

= 420

Step2:

LCM(28, 700) = 700

GCD(28, 700) = ( 28 x 700 ) / 700

= 28 / 700

= 28

Step3:

LCM(28, 847) = 3388

GCD(28, 847) = ( 28 x 847 ) / 3388

= 28 / 847

= 28

So, Greatest Common Divisor of 420, 112, 700, 847 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 140, 296, 734, 642
• GCD of 137, 718, 840, 831
• GCD of 670, 932, 882, 741
• GCD of 608, 828, 411, 617
• GCD of 605, 263, 957, 653

Given numbers are 420, 112, 700, 847
The greatest common divisor of numbers 420, 112, 700, 847 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 112, 700, 847 is 7.

1. What is the GCD of 420, 112, 700, 847?

GCD of given numbers 420, 112, 700, 847 is 7

2. How to calculate the greatest common divisor of 420, 112, 700, 847?

We can find the highest common divisor of 420, 112, 700, 847 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 420, 112, 700, 847 i.e 7.

3. How can I use the GCD of 420, 112, 700, 847Calculator?

Out the numbers 420, 112, 700, 847 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.