How to Find GCF of 99/414, 49/592, 983/490?

GCF of 99/414, 49/592, 983/490

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 99/414, 49/592, 983/490 i.e 1/30023280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 99/414, 49/592, 983/490.

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 99/414,49/592,983/490?

Given fractions are 99/414,49/592,983/490

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 99/414,49/592,983/490, numerators are 99,49,983

Denominators are 414,592,490

The GCF of 99,49,983 is 1 .

LCM of 414,592,490 is 30023280.

The greatest common factor of 99/414,49/592,983/490 = [GCF of 99,49,983]/[LCM of 414,592,490]= 1/30023280

Therefore, the GCF of 99/414,49/592,983/490 is 1/30023280.

Greatest Common Factor of 99,49,983

To find the highest common factor of 99,49,983, we have to find the factors of both numbers and list the highest common factor.

The factors of 99 are 1, 3, 9, 11, 33, 99

The factors of 49 are 1, 7, 49

The factors of 983 are 1, 983

The HCF of 99,49,983 is 1.

Lets's calculate GCF of 99,49,983

Greatest Common Factor (GCF) of 99,49,983 By Common Division

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

Greatest Common Factor of 99,49,983 By Matching Biggest Common Factor Method

Now, list down the factors of 99

1,3,9,11,33,99

Now, list down the factors of 49

1,7,49

Now, list down the factors of 983

1,983

Greatest Common Factor

We found the factors 99,49,983 . The biggest common factor number is the GCF number.
So the greatest common factor 99,49,983 is 1.

Lets's calculate LCM of 414,592,490

Lowest Common Multiple of 414,592,490 using Common Division

2	414, 592, 490
	207, 296, 245

∴ So the LCM of the given numbers is 2 x 207 x 296 x 245 = 30023280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30023280

Therefore, the GCF of Fractions 99/414,49/592,983/490 is 1/30023280

Least Common Multiple of 414,592,490 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 414,592,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,592,490) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(414,592,490) x common factors =2 x 2 = 4

LCM(414,592,490) = ( 414 × 592 × 490 ) / 4

LCM(414,592,490) = 120093120 / 4

LCM(414,592,490) = 30023280

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 99/414, 49/592, 983/490

1. What is the HCF of 99,49,983?

The HCF of 99,49,983 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 99/414, 49/592, 983/490?

Answer: GCF of Numerators as per given numbers 99/414, 49/592, 983/490 is

GCF of Numerators i.e. for 99,49,983 is 1

LCM of denominators i.e. for 414,592,490 is 30023280.

Thus, GCF of Fractions is 1/30023280.Finally, GCF of Fractions for 99/414, 49/592, 983/490 is 1/30023280.