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GCF of 908/656, 5843/592

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


Use our free GCF of Fractions Calculator tool to compute the GCF of 908/656, 5843/592 i.e 1/24272 easily. The following is the detailed procedure to determine the greatest common factor of fractions 908/656, 5843/592.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 908/656,5843/592?

Given fractions are 908/656,5843/592

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 908/656,5843/592, numerators are 908,5843

Denominators are 656,592

The GCF of 908,5843 is 1 .

LCM of 656,592 is 24272.

The greatest common factor of 908/656,5843/592 = [GCF of 908,5843]/[LCM of 656,592]= 1/24272

Therefore, the GCF of 908/656,5843/592 is 1/24272.

Greatest Common Factor of 908,5843

To find the highest common factor of 908,5843, we have to find the factors of both numbers and list the highest common factor.

The factors of 908 are 1, 2, 4, 227, 454, 908

The factors of 5843 are 1, 5843

The HCF of 908,5843 is 1.

Lets's calculate GCF of 908,5843

Greatest Common Factor (GCF) of 908,5843 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 908,5843 By Matching Biggest Common Factor Method

Greatest Common Factor of 908,5843 By Matching Biggest Common Factor Method

Now, list down the factors of 908

:

1,2,4,227,454,908

Now, list down the factors of 5843

:

1,5843

Greatest Common Factor

We found the factors 908,5843 . The biggest common factor number is the GCF number.
So the greatest common factor 908,5843 is 1.


Lets's calculate LCM of 656,592

Lowest Common Multiple of 656,592 using Common Division

2 656, 592
2 328, 296
2 164, 148
2 82, 74
41, 37

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 41 x 37 = 24272

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24272

Therefore, the GCF of Fractions 908/656,5843/592 is 1/24272

Least Common Multiple of 656,592 with GCF Formula

Least Common Multiple of 656,592 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 656,592 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(656,592) = 16

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

GCF(656,592) x common factors =16 x 1 = 16

LCM(656,592) = ( 656 × 592 ) / 16

LCM(656,592) = 388352 / 16

LCM(656,592) = 24272


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 908/656, 5843/592

1. What is the HCF of 908,5843?

The HCF of 908,5843 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 908/656, 5843/592?

Answer: GCF of Numerators as per given numbers 908/656, 5843/592 is

GCF of Numerators i.e. for 908,5843 is 1

LCM of denominators i.e. for 656,592 is 24272.

Thus, GCF of Fractions is 1/24272.Finally, GCF of Fractions for 908/656, 5843/592 is 1/24272.