Greatest Common Factor of 4798/697, 3438/8192

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4798/697, 3438/8192

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 4798/697,3438/8192

Given fractions are 4798/697,3438/8192

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 4798,3438

Greatest Common Factor of Numerators i.e. GCF of 4798,3438 is 2 .

LCM of Denominators means LCM of 697,8192 as per the given fractions.

LCM of 697,8192 is 5709824 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4798,3438

GCF of Fractions 4798/697,3438/8192 is 2/5709824

2 4798, 3438
2399, 1719

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 4798,3438 By Matching Biggest Common Factor Method

Greatest Common Factor of 4798,3438 By Matching Biggest Common Factor Method

Factors of 4798

List of positive integer factors of 4798 that divides 4798 without a remainder.

1,2,2399,4798

Factors of 3438

List of positive integer factors of 3438 that divides 3438 without a remainder.

1,2,3,6,9,18,191,382,573,1146,1719,3438

Greatest Common Factor

We found the factors 4798,3438 . The biggest common factor number is the GCF number.
So the greatest common factor 4798,3438 is 2.

Lets's calculate LCM of 697,8192

Given numbers has no common factors except 1. So, there LCM is their product i.e 5709824

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5709824

Therefore, the GCF of Fractions 4798/697,3438/8192 is 2/5709824

Least Common Multiple of 697,8192 with GCF Formula

Least Common Multiple of 697,8192 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 697,8192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(697,8192) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(697,8192) x common factors =1 x 1 = 1

LCM(697,8192) = ( 697 × 8192 ) / 1

LCM(697,8192) = 5709824 / 1

LCM(697,8192) = 5709824


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 4798/697, 3438/8192

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 4798/697, 3438/8192?

Answer: GCF of Numerators as per given numbers 4798/697, 3438/8192 is

GCF of Numerators i.e. for 4798,3438 is 2

LCM of denominators i.e. for 697,8192 is 5709824.

Thus, GCF of Fractions is 2/5709824.Finally, GCF of Fractions for 4798/697, 3438/8192 is 2/5709824.