How to Find GCF of 7310/171, 3838/8030?

GCF of 7310/171, 3838/8030

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 7310/171, 3838/8030 i.e 2/1373130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7310/171, 3838/8030.

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 7310/171,3838/8030?

Given fractions are 7310/171,3838/8030

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 7310/171,3838/8030, numerators are 7310,3838

Denominators are 171,8030

The GCF of 7310,3838 is 2 .

LCM of 171,8030 is 1373130.

The greatest common factor of 7310/171,3838/8030 = [GCF of 7310,3838]/[LCM of 171,8030]= 2/1373130

Therefore, the GCF of 7310/171,3838/8030 is 2/1373130.

Greatest Common Factor of 7310,3838

To find the highest common factor of 7310,3838, we have to find the factors of both numbers and list the highest common factor.

The factors of 7310 are 1, 2, 5, 10, 17, 34, 43, 85, 86, 170, 215, 430, 731, 1462, 3655, 7310

The factors of 3838 are 1, 2, 19, 38, 101, 202, 1919, 3838

The HCF of 7310,3838 is 2.

Lets's calculate GCF of 7310,3838

Greatest Common Factor (GCF) of 7310,3838 By Common Division

2	7310, 3838
	3655, 1919

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

Greatest Common Factor of 7310,3838 By Matching Biggest Common Factor Method

Now, list down the factors of 7310

1,2,5,10,17,34,43,85,86,170,215,430,731,1462,3655,7310

Now, list down the factors of 3838

1,2,19,38,101,202,1919,3838

Greatest Common Factor

We found the factors 7310,3838 . The biggest common factor number is the GCF number.
So the greatest common factor 7310,3838 is 2.

Lets's calculate LCM of 171,8030

Lowest Common Multiple of 171,8030 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1373130

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1373130

Therefore, the GCF of Fractions 7310/171,3838/8030 is 2/1373130

Least Common Multiple of 171,8030 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 171,8030 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(171,8030) = 1

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

GCF(171,8030) x common factors =1 x 1 = 1

LCM(171,8030) = ( 171 × 8030 ) / 1

LCM(171,8030) = 1373130 / 1

LCM(171,8030) = 1373130

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FAQs on GCF of Fractions of 7310/171, 3838/8030

1. What is the HCF of 7310,3838?

The HCF of 7310,3838 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 7310/171, 3838/8030?

Answer: GCF of Numerators as per given numbers 7310/171, 3838/8030 is

GCF of Numerators i.e. for 7310,3838 is 2

LCM of denominators i.e. for 171,8030 is 1373130.

Thus, GCF of Fractions is 2/1373130.Finally, GCF of Fractions for 7310/171, 3838/8030 is 2/1373130.