How to Find GCF of 5381/310, 8826/9742?

GCF of 5381/310, 8826/9742

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 5381/310, 8826/9742 i.e 1/1510010 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5381/310, 8826/9742.

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 5381/310,8826/9742?

Given fractions are 5381/310,8826/9742

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 5381/310,8826/9742, numerators are 5381,8826

Denominators are 310,9742

The GCF of 5381,8826 is 1 .

LCM of 310,9742 is 1510010.

The greatest common factor of 5381/310,8826/9742 = [GCF of 5381,8826]/[LCM of 310,9742]= 1/1510010

Therefore, the GCF of 5381/310,8826/9742 is 1/1510010.

Greatest Common Factor of 5381,8826

To find the highest common factor of 5381,8826, we have to find the factors of both numbers and list the highest common factor.

The factors of 5381 are 1, 5381

The factors of 8826 are 1, 2, 3, 6, 1471, 2942, 4413, 8826

The HCF of 5381,8826 is 1.

Lets's calculate GCF of 5381,8826

Greatest Common Factor (GCF) of 5381,8826 By Common Division

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

Greatest Common Factor of 5381,8826 By Matching Biggest Common Factor Method

Now, list down the factors of 5381

1,5381

Now, list down the factors of 8826

1,2,3,6,1471,2942,4413,8826

Greatest Common Factor

We found the factors 5381,8826 . The biggest common factor number is the GCF number.
So the greatest common factor 5381,8826 is 1.

Lets's calculate LCM of 310,9742

Lowest Common Multiple of 310,9742 using Common Division

2	310, 9742
	155, 4871

∴ So the LCM of the given numbers is 2 x 155 x 4871 = 1510010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1510010

Therefore, the GCF of Fractions 5381/310,8826/9742 is 1/1510010

Least Common Multiple of 310,9742 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 310,9742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(310,9742) = 2

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

GCF(310,9742) x common factors =2 x 1 = 2

LCM(310,9742) = ( 310 × 9742 ) / 2

LCM(310,9742) = 3020020 / 2

LCM(310,9742) = 1510010

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FAQs on GCF of Fractions of 5381/310, 8826/9742

1. What is the HCF of 5381,8826?

The HCF of 5381,8826 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 5381/310, 8826/9742?

Answer: GCF of Numerators as per given numbers 5381/310, 8826/9742 is

GCF of Numerators i.e. for 5381,8826 is 1

LCM of denominators i.e. for 310,9742 is 1510010.

Thus, GCF of Fractions is 1/1510010.Finally, GCF of Fractions for 5381/310, 8826/9742 is 1/1510010.