How to Find GCF of 5648/992, 5285/2368?

GCF of 5648/992, 5285/2368

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 5648/992, 5285/2368 i.e 1/73408 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5648/992, 5285/2368.

Enter two or more fractions separated by "commas"

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

What is the GCF of 5648/992,5285/2368?

Given fractions are 5648/992,5285/2368

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 5648/992,5285/2368, numerators are 5648,5285

Denominators are 992,2368

The GCF of 5648,5285 is 1 .

LCM of 992,2368 is 73408.

The greatest common factor of 5648/992,5285/2368 = [GCF of 5648,5285]/[LCM of 992,2368]= 1/73408

Therefore, the GCF of 5648/992,5285/2368 is 1/73408.

Greatest Common Factor of 5648,5285

To find the highest common factor of 5648,5285, we have to find the factors of both numbers and list the highest common factor.

The factors of 5648 are 1, 2, 4, 8, 16, 353, 706, 1412, 2824, 5648

The factors of 5285 are 1, 5, 7, 35, 151, 755, 1057, 5285

The HCF of 5648,5285 is 1.

Lets's calculate GCF of 5648,5285

Greatest Common Factor (GCF) of 5648,5285 By Common Division

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

Greatest Common Factor of 5648,5285 By Matching Biggest Common Factor Method

Now, list down the factors of 5648

1,2,4,8,16,353,706,1412,2824,5648

Now, list down the factors of 5285

1,5,7,35,151,755,1057,5285

Greatest Common Factor

We found the factors 5648,5285 . The biggest common factor number is the GCF number.
So the greatest common factor 5648,5285 is 1.

Lets's calculate LCM of 992,2368

Lowest Common Multiple of 992,2368 using Common Division

2	992, 2368
2	496, 1184
2	248, 592
2	124, 296
2	62, 148
	31, 74

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 31 x 74 = 73408

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73408

Therefore, the GCF of Fractions 5648/992,5285/2368 is 1/73408

Least Common Multiple of 992,2368 with GCF Formula

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

We need to calculate greatest common factor of 992,2368 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(992,2368) = 32

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

GCF(992,2368) x common factors =32 x 1 = 32

LCM(992,2368) = ( 992 × 2368 ) / 32

LCM(992,2368) = 2349056 / 32

LCM(992,2368) = 73408

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5648/992, 5285/2368

1. What is the HCF of 5648,5285?

The HCF of 5648,5285 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 5648/992, 5285/2368?

Answer: GCF of Numerators as per given numbers 5648/992, 5285/2368 is

GCF of Numerators i.e. for 5648,5285 is 1

LCM of denominators i.e. for 992,2368 is 73408.

Thus, GCF of Fractions is 1/73408.Finally, GCF of Fractions for 5648/992, 5285/2368 is 1/73408.