How to Find GCF of 8801/391, 4425/1781?

GCF of 8801/391, 4425/1781

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 8801/391, 4425/1781 i.e 1/696371 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8801/391, 4425/1781.

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 8801/391,4425/1781?

Given fractions are 8801/391,4425/1781

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 8801/391,4425/1781, numerators are 8801,4425

Denominators are 391,1781

The GCF of 8801,4425 is 1 .

LCM of 391,1781 is 696371.

The greatest common factor of 8801/391,4425/1781 = [GCF of 8801,4425]/[LCM of 391,1781]= 1/696371

Therefore, the GCF of 8801/391,4425/1781 is 1/696371.

Greatest Common Factor of 8801,4425

To find the highest common factor of 8801,4425, we have to find the factors of both numbers and list the highest common factor.

The factors of 8801 are 1, 13, 677, 8801

The factors of 4425 are 1, 3, 5, 15, 25, 59, 75, 177, 295, 885, 1475, 4425

The HCF of 8801,4425 is 1.

Lets's calculate GCF of 8801,4425

Greatest Common Factor (GCF) of 8801,4425 By Common Division

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

Greatest Common Factor of 8801,4425 By Matching Biggest Common Factor Method

Now, list down the factors of 8801

1,13,677,8801

Now, list down the factors of 4425

1,3,5,15,25,59,75,177,295,885,1475,4425

Greatest Common Factor

We found the factors 8801,4425 . The biggest common factor number is the GCF number.
So the greatest common factor 8801,4425 is 1.

Lets's calculate LCM of 391,1781

Lowest Common Multiple of 391,1781 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 696371

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/696371

Therefore, the GCF of Fractions 8801/391,4425/1781 is 1/696371

Least Common Multiple of 391,1781 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 391,1781 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(391,1781) = 1

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

GCF(391,1781) x common factors =1 x 1 = 1

LCM(391,1781) = ( 391 × 1781 ) / 1

LCM(391,1781) = 696371 / 1

LCM(391,1781) = 696371

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FAQs on GCF of Fractions of 8801/391, 4425/1781

1. What is the HCF of 8801,4425?

The HCF of 8801,4425 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 8801/391, 4425/1781?

Answer: GCF of Numerators as per given numbers 8801/391, 4425/1781 is

GCF of Numerators i.e. for 8801,4425 is 1

LCM of denominators i.e. for 391,1781 is 696371.

Thus, GCF of Fractions is 1/696371.Finally, GCF of Fractions for 8801/391, 4425/1781 is 1/696371.