How to Find GCF of 4844/992, 5062/7984?

GCF of 4844/992, 5062/7984

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 4844/992, 5062/7984 i.e 2/495008 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4844/992, 5062/7984.

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 4844/992,5062/7984?

Given fractions are 4844/992,5062/7984

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 4844/992,5062/7984, numerators are 4844,5062

Denominators are 992,7984

The GCF of 4844,5062 is 2 .

LCM of 992,7984 is 495008.

The greatest common factor of 4844/992,5062/7984 = [GCF of 4844,5062]/[LCM of 992,7984]= 2/495008

Therefore, the GCF of 4844/992,5062/7984 is 2/495008.

Greatest Common Factor of 4844,5062

To find the highest common factor of 4844,5062, we have to find the factors of both numbers and list the highest common factor.

The factors of 4844 are 1, 2, 4, 7, 14, 28, 173, 346, 692, 1211, 2422, 4844

The factors of 5062 are 1, 2, 2531, 5062

The HCF of 4844,5062 is 2.

Lets's calculate GCF of 4844,5062

Greatest Common Factor (GCF) of 4844,5062 By Common Division

2	4844, 5062
	2422, 2531

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

Greatest Common Factor of 4844,5062 By Matching Biggest Common Factor Method

Now, list down the factors of 4844

1,2,4,7,14,28,173,346,692,1211,2422,4844

Now, list down the factors of 5062

1,2,2531,5062

Greatest Common Factor

We found the factors 4844,5062 . The biggest common factor number is the GCF number.
So the greatest common factor 4844,5062 is 2.

Lets's calculate LCM of 992,7984

Lowest Common Multiple of 992,7984 using Common Division

2	992, 7984
2	496, 3992
2	248, 1996
2	124, 998
	62, 499

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 62 x 499 = 495008

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/495008

Therefore, the GCF of Fractions 4844/992,5062/7984 is 2/495008

Least Common Multiple of 992,7984 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 992,7984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(992,7984) = 16

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

GCF(992,7984) x common factors =16 x 1 = 16

LCM(992,7984) = ( 992 × 7984 ) / 16

LCM(992,7984) = 7920128 / 16

LCM(992,7984) = 495008

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4844/992, 5062/7984

1. What is the HCF of 4844,5062?

The HCF of 4844,5062 is 2

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 4844/992, 5062/7984?

Answer: GCF of Numerators as per given numbers 4844/992, 5062/7984 is

GCF of Numerators i.e. for 4844,5062 is 2

LCM of denominators i.e. for 992,7984 is 495008.

Thus, GCF of Fractions is 2/495008.Finally, GCF of Fractions for 4844/992, 5062/7984 is 2/495008.