How to Find GCF of 9890/472, 8893/1642?

GCF of 9890/472, 8893/1642

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 9890/472, 8893/1642 i.e 1/387512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9890/472, 8893/1642.

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 9890/472,8893/1642?

Given fractions are 9890/472,8893/1642

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 9890/472,8893/1642, numerators are 9890,8893

Denominators are 472,1642

The GCF of 9890,8893 is 1 .

LCM of 472,1642 is 387512.

The greatest common factor of 9890/472,8893/1642 = [GCF of 9890,8893]/[LCM of 472,1642]= 1/387512

Therefore, the GCF of 9890/472,8893/1642 is 1/387512.

Greatest Common Factor of 9890,8893

To find the highest common factor of 9890,8893, we have to find the factors of both numbers and list the highest common factor.

The factors of 9890 are 1, 2, 5, 10, 23, 43, 46, 86, 115, 215, 230, 430, 989, 1978, 4945, 9890

The factors of 8893 are 1, 8893

The HCF of 9890,8893 is 1.

Lets's calculate GCF of 9890,8893

Greatest Common Factor (GCF) of 9890,8893 By Common Division

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

Greatest Common Factor of 9890,8893 By Matching Biggest Common Factor Method

Now, list down the factors of 9890

1,2,5,10,23,43,46,86,115,215,230,430,989,1978,4945,9890

Now, list down the factors of 8893

1,8893

Greatest Common Factor

We found the factors 9890,8893 . The biggest common factor number is the GCF number.
So the greatest common factor 9890,8893 is 1.

Lets's calculate LCM of 472,1642

Lowest Common Multiple of 472,1642 using Common Division

2	472, 1642
	236, 821

∴ So the LCM of the given numbers is 2 x 236 x 821 = 387512

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/387512

Therefore, the GCF of Fractions 9890/472,8893/1642 is 1/387512

Least Common Multiple of 472,1642 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 472,1642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(472,1642) = 2

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

GCF(472,1642) x common factors =2 x 1 = 2

LCM(472,1642) = ( 472 × 1642 ) / 2

LCM(472,1642) = 775024 / 2

LCM(472,1642) = 387512

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FAQs on GCF of Fractions of 9890/472, 8893/1642

1. What is the HCF of 9890,8893?

The HCF of 9890,8893 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 9890/472, 8893/1642?

Answer: GCF of Numerators as per given numbers 9890/472, 8893/1642 is

GCF of Numerators i.e. for 9890,8893 is 1

LCM of denominators i.e. for 472,1642 is 387512.

Thus, GCF of Fractions is 1/387512.Finally, GCF of Fractions for 9890/472, 8893/1642 is 1/387512.