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GCF of 9781/425, 5181/325

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 9781/425, 5181/325 i.e 1/5525 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9781/425, 5181/325.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 9781/425,5181/325?

Given fractions are 9781/425,5181/325

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 9781/425,5181/325, numerators are 9781,5181

Denominators are 425,325

The GCF of 9781,5181 is 1 .

LCM of 425,325 is 5525.

The greatest common factor of 9781/425,5181/325 = [GCF of 9781,5181]/[LCM of 425,325]= 1/5525

Therefore, the GCF of 9781/425,5181/325 is 1/5525.

Greatest Common Factor of 9781,5181

To find the highest common factor of 9781,5181, we have to find the factors of both numbers and list the highest common factor.

The factors of 9781 are 1, 9781

The factors of 5181 are 1, 3, 11, 33, 157, 471, 1727, 5181

The HCF of 9781,5181 is 1.

Lets's calculate GCF of 9781,5181

Greatest Common Factor (GCF) of 9781,5181 By Common Division

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

Greatest Common Factor of 9781,5181 By Matching Biggest Common Factor Method

Greatest Common Factor of 9781,5181 By Matching Biggest Common Factor Method

Now, list down the factors of 9781

:

1,9781

Now, list down the factors of 5181

:

1,3,11,33,157,471,1727,5181

Greatest Common Factor

We found the factors 9781,5181 . The biggest common factor number is the GCF number.
So the greatest common factor 9781,5181 is 1.

Lets's calculate LCM of 425,325

Lowest Common Multiple of 425,325 using Common Division

5 425, 325
5 85, 65
17, 13

∴ So the LCM of the given numbers is 5 x 5 x 17 x 13 = 5525

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5525

Therefore, the GCF of Fractions 9781/425,5181/325 is 1/5525

Least Common Multiple of 425,325 with GCF Formula

Least Common Multiple of 425,325 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 425,325 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(425,325) = 25

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

GCF(425,325) x common factors =25 x 1 = 25

LCM(425,325) = ( 425 × 325 ) / 25

LCM(425,325) = 138125 / 25

LCM(425,325) = 5525


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FAQs on GCF of Fractions of 9781/425, 5181/325

1. What is the HCF of 9781,5181?

The HCF of 9781,5181 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 9781/425, 5181/325?

Answer: GCF of Numerators as per given numbers 9781/425, 5181/325 is

GCF of Numerators i.e. for 9781,5181 is 1

LCM of denominators i.e. for 425,325 is 5525.

Thus, GCF of Fractions is 1/5525.Finally, GCF of Fractions for 9781/425, 5181/325 is 1/5525.