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GCD of 692, 520, 196, 948 Calculator

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


Online GCD Calculator is useful to find the GCD of 692, 520, 196, 948 quickly. Get the easiest ways to solve the greatest common divisor of 692, 520, 196, 948 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 692, 520, 196, 948 with Factoring?

Given Input numbers are 692, 520, 196, 948

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

Divisors of 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

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


GCD of numbers is the greatest common divisor

So, the GCD (692, 520, 196, 948) = 4.

Find GCD of 692, 520, 196, 948 using Prime Factorization

Given numbers are 692, 520, 196, 948

The list of prime factors of all numbers are

Prime factors of 692 are 2 x 2 x 173

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

Prime factors of 196 are 2 x 2 x 7 x 7

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

The highest common occurrence is 22

Therefore, GCD of 692, 520, 196, 948 is 4.

Steps to Calculate GCD of 692, 520, 196, 948 using LCM Formula

Given numbers are 692, 520, 196, 948

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

Apply this formula for all numbers.

Step1:

LCM(692, 520) = 89960

GCD(692, 520) = ( 692 x 520 ) / 89960

= 692 / 520

= 692


Step2:

LCM(4, 196) = 196

GCD(4, 196) = ( 4 x 196 ) / 196

= 4 / 196

= 4


Step3:

LCM(4, 948) = 948

GCD(4, 948) = ( 4 x 948 ) / 948

= 4 / 948

= 4


So, Greatest Common Divisor of 692, 520, 196, 948 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 692, 520, 196, 948

Given numbers are 692, 520, 196, 948
The greatest common divisor of numbers 692, 520, 196, 948 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 692, 520, 196, 948 is 4.

FAQs on GCD of 692, 520, 196, 948 Calculator

1. What is the GCD of 692, 520, 196, 948?

GCD of given numbers 692, 520, 196, 948 is 4


2. How to calculate the greatest common divisor of 692, 520, 196, 948?

We can find the highest common divisor of 692, 520, 196, 948 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 692, 520, 196, 948 i.e 4.


3. How can I use the GCD of 692, 520, 196, 948Calculator?

Out the numbers 692, 520, 196, 948 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.