How to Find GCF of 9378/449, 8102/161?

GCF of 9378/449, 8102/161

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 9378/449, 8102/161 i.e 2/72289 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9378/449, 8102/161.

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 9378/449,8102/161?

Given fractions are 9378/449,8102/161

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 9378/449,8102/161, numerators are 9378,8102

Denominators are 449,161

The GCF of 9378,8102 is 2 .

LCM of 449,161 is 72289.

The greatest common factor of 9378/449,8102/161 = [GCF of 9378,8102]/[LCM of 449,161]= 2/72289

Therefore, the GCF of 9378/449,8102/161 is 2/72289.

Greatest Common Factor of 9378,8102

To find the highest common factor of 9378,8102, we have to find the factors of both numbers and list the highest common factor.

The factors of 9378 are 1, 2, 3, 6, 9, 18, 521, 1042, 1563, 3126, 4689, 9378

The factors of 8102 are 1, 2, 4051, 8102

The HCF of 9378,8102 is 2.

Lets's calculate GCF of 9378,8102

Greatest Common Factor (GCF) of 9378,8102 By Common Division

2	9378, 8102
	4689, 4051

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

Greatest Common Factor of 9378,8102 By Matching Biggest Common Factor Method

Now, list down the factors of 9378

1,2,3,6,9,18,521,1042,1563,3126,4689,9378

Now, list down the factors of 8102

1,2,4051,8102

Greatest Common Factor

We found the factors 9378,8102 . The biggest common factor number is the GCF number.
So the greatest common factor 9378,8102 is 2.

Lets's calculate LCM of 449,161

Lowest Common Multiple of 449,161 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 72289

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/72289

Therefore, the GCF of Fractions 9378/449,8102/161 is 2/72289

Least Common Multiple of 449,161 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 449,161 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(449,161) = 1

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

GCF(449,161) x common factors =1 x 1 = 1

LCM(449,161) = ( 449 × 161 ) / 1

LCM(449,161) = 72289 / 1

LCM(449,161) = 72289

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FAQs on GCF of Fractions of 9378/449, 8102/161

1. What is the HCF of 9378,8102?

The HCF of 9378,8102 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 9378/449, 8102/161?

Answer: GCF of Numerators as per given numbers 9378/449, 8102/161 is

GCF of Numerators i.e. for 9378,8102 is 2

LCM of denominators i.e. for 449,161 is 72289.

Thus, GCF of Fractions is 2/72289.Finally, GCF of Fractions for 9378/449, 8102/161 is 2/72289.