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GCD of 708, 860, 848, 456 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 708, 860, 848, 456 quickly. Get the easiest ways to solve the greatest common divisor of 708, 860, 848, 456 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 708, 860, 848, 456 with Factoring?

Given Input numbers are 708, 860, 848, 456

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

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 860 :

The positive integer divisors of 860 that completely divides 860 are.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Divisors of 848 :

The positive integer divisors of 848 that completely divides 848 are.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456


GCD of numbers is the greatest common divisor

So, the GCD (708, 860, 848, 456) = 4.

Find GCD of 708, 860, 848, 456 using Prime Factorization

Given numbers are 708, 860, 848, 456

The list of prime factors of all numbers are

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 860 are 2 x 2 x 5 x 43

Prime factors of 848 are 2 x 2 x 2 x 2 x 53

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

The highest common occurrence is 22

Therefore, GCD of 708, 860, 848, 456 is 4.

Steps to Calculate GCD of 708, 860, 848, 456 using LCM Formula

Given numbers are 708, 860, 848, 456

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

Apply this formula for all numbers.

Step1:

LCM(708, 860) = 152220

GCD(708, 860) = ( 708 x 860 ) / 152220

= 708 / 860

= 708


Step2:

LCM(4, 848) = 848

GCD(4, 848) = ( 4 x 848 ) / 848

= 4 / 848

= 4


Step3:

LCM(4, 456) = 456

GCD(4, 456) = ( 4 x 456 ) / 456

= 4 / 456

= 4


So, Greatest Common Divisor of 708, 860, 848, 456 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 708, 860, 848, 456

Given numbers are 708, 860, 848, 456
The greatest common divisor of numbers 708, 860, 848, 456 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 708, 860, 848, 456 is 4.

FAQs on GCD of 708, 860, 848, 456 Calculator

1. What is the GCD of 708, 860, 848, 456?

GCD of given numbers 708, 860, 848, 456 is 4


2. How to calculate the greatest common divisor of 708, 860, 848, 456?

We can find the highest common divisor of 708, 860, 848, 456 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 708, 860, 848, 456 i.e 4.


3. How can I use the GCD of 708, 860, 848, 456Calculator?

Out the numbers 708, 860, 848, 456 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.