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GCD of 948, 752, 740, 824 Calculator

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


Online GCD Calculator is useful to find the GCD of 948, 752, 740, 824 quickly. Get the easiest ways to solve the greatest common divisor of 948, 752, 740, 824 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 948, 752, 740, 824 with Factoring?

Given Input numbers are 948, 752, 740, 824

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

Divisors of 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824


GCD of numbers is the greatest common divisor

So, the GCD (948, 752, 740, 824) = 4.

Find GCD of 948, 752, 740, 824 using Prime Factorization

Given numbers are 948, 752, 740, 824

The list of prime factors of all numbers are

Prime factors of 948 are 2 x 2 x 3 x 79

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

Prime factors of 740 are 2 x 2 x 5 x 37

Prime factors of 824 are 2 x 2 x 2 x 103

The highest common occurrence is 22

Therefore, GCD of 948, 752, 740, 824 is 4.

Steps to Calculate GCD of 948, 752, 740, 824 using LCM Formula

Given numbers are 948, 752, 740, 824

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

Apply this formula for all numbers.

Step1:

LCM(948, 752) = 178224

GCD(948, 752) = ( 948 x 752 ) / 178224

= 948 / 752

= 948


Step2:

LCM(4, 740) = 740

GCD(4, 740) = ( 4 x 740 ) / 740

= 4 / 740

= 4


Step3:

LCM(4, 824) = 824

GCD(4, 824) = ( 4 x 824 ) / 824

= 4 / 824

= 4


So, Greatest Common Divisor of 948, 752, 740, 824 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 948, 752, 740, 824

Given numbers are 948, 752, 740, 824
The greatest common divisor of numbers 948, 752, 740, 824 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 948, 752, 740, 824 is 4.

FAQs on GCD of 948, 752, 740, 824 Calculator

1. What is the GCD of 948, 752, 740, 824?

GCD of given numbers 948, 752, 740, 824 is 4


2. How to calculate the greatest common divisor of 948, 752, 740, 824?

We can find the highest common divisor of 948, 752, 740, 824 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 948, 752, 740, 824 i.e 4.


3. How can I use the GCD of 948, 752, 740, 824Calculator?

Out the numbers 948, 752, 740, 824 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.