How to Find GCF of 9922/550, 4311/270?

GCF of 9922/550, 4311/270

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 9922/550, 4311/270 i.e 1/14850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9922/550, 4311/270.

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 9922/550,4311/270?

Given fractions are 9922/550,4311/270

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 9922/550,4311/270, numerators are 9922,4311

Denominators are 550,270

The GCF of 9922,4311 is 1 .

LCM of 550,270 is 14850.

The greatest common factor of 9922/550,4311/270 = [GCF of 9922,4311]/[LCM of 550,270]= 1/14850

Therefore, the GCF of 9922/550,4311/270 is 1/14850.

Greatest Common Factor of 9922,4311

To find the highest common factor of 9922,4311, we have to find the factors of both numbers and list the highest common factor.

The factors of 9922 are 1, 2, 11, 22, 41, 82, 121, 242, 451, 902, 4961, 9922

The factors of 4311 are 1, 3, 9, 479, 1437, 4311

The HCF of 9922,4311 is 1.

Lets's calculate GCF of 9922,4311

Greatest Common Factor (GCF) of 9922,4311 By Common Division

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

Greatest Common Factor of 9922,4311 By Matching Biggest Common Factor Method

Now, list down the factors of 9922

1,2,11,22,41,82,121,242,451,902,4961,9922

Now, list down the factors of 4311

1,3,9,479,1437,4311

Greatest Common Factor

We found the factors 9922,4311 . The biggest common factor number is the GCF number.
So the greatest common factor 9922,4311 is 1.

Lets's calculate LCM of 550,270

Lowest Common Multiple of 550,270 using Common Division

2	550, 270
5	275, 135
	55, 27

∴ So the LCM of the given numbers is 2 x 5 x 55 x 27 = 14850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14850

Therefore, the GCF of Fractions 9922/550,4311/270 is 1/14850

Least Common Multiple of 550,270 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 550,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(550,270) = 10

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

GCF(550,270) x common factors =10 x 1 = 10

LCM(550,270) = ( 550 × 270 ) / 10

LCM(550,270) = 148500 / 10

LCM(550,270) = 14850

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FAQs on GCF of Fractions of 9922/550, 4311/270

1. What is the HCF of 9922,4311?

The HCF of 9922,4311 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 9922/550, 4311/270?

Answer: GCF of Numerators as per given numbers 9922/550, 4311/270 is

GCF of Numerators i.e. for 9922,4311 is 1

LCM of denominators i.e. for 550,270 is 14850.

Thus, GCF of Fractions is 1/14850.Finally, GCF of Fractions for 9922/550, 4311/270 is 1/14850.