How to Find GCF of 9871/760, 1369/3579?

GCF of 9871/760, 1369/3579

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 9871/760, 1369/3579 i.e 1/2720040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9871/760, 1369/3579.

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 9871/760,1369/3579?

Given fractions are 9871/760,1369/3579

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 9871/760,1369/3579, numerators are 9871,1369

Denominators are 760,3579

The GCF of 9871,1369 is 1 .

LCM of 760,3579 is 2720040.

The greatest common factor of 9871/760,1369/3579 = [GCF of 9871,1369]/[LCM of 760,3579]= 1/2720040

Therefore, the GCF of 9871/760,1369/3579 is 1/2720040.

Greatest Common Factor of 9871,1369

To find the highest common factor of 9871,1369, we have to find the factors of both numbers and list the highest common factor.

The factors of 9871 are 1, 9871

The factors of 1369 are 1, 37, 1369

The HCF of 9871,1369 is 1.

Lets's calculate GCF of 9871,1369

Greatest Common Factor (GCF) of 9871,1369 By Common Division

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

Greatest Common Factor of 9871,1369 By Matching Biggest Common Factor Method

Now, list down the factors of 9871

1,9871

Now, list down the factors of 1369

1,37,1369

Greatest Common Factor

We found the factors 9871,1369 . The biggest common factor number is the GCF number.
So the greatest common factor 9871,1369 is 1.

Lets's calculate LCM of 760,3579

Lowest Common Multiple of 760,3579 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2720040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2720040

Therefore, the GCF of Fractions 9871/760,1369/3579 is 1/2720040

Least Common Multiple of 760,3579 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 760,3579 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(760,3579) = 1

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

GCF(760,3579) x common factors =1 x 1 = 1

LCM(760,3579) = ( 760 × 3579 ) / 1

LCM(760,3579) = 2720040 / 1

LCM(760,3579) = 2720040

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FAQs on GCF of Fractions of 9871/760, 1369/3579

1. What is the HCF of 9871,1369?

The HCF of 9871,1369 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 9871/760, 1369/3579?

Answer: GCF of Numerators as per given numbers 9871/760, 1369/3579 is

GCF of Numerators i.e. for 9871,1369 is 1

LCM of denominators i.e. for 760,3579 is 2720040.

Thus, GCF of Fractions is 1/2720040.Finally, GCF of Fractions for 9871/760, 1369/3579 is 1/2720040.