How to Find GCF of 8488/381, 9539/7162?

GCF of 8488/381, 9539/7162

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 8488/381, 9539/7162 i.e 1/2728722 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8488/381, 9539/7162.

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 8488/381,9539/7162?

Given fractions are 8488/381,9539/7162

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 8488/381,9539/7162, numerators are 8488,9539

Denominators are 381,7162

The GCF of 8488,9539 is 1 .

LCM of 381,7162 is 2728722.

The greatest common factor of 8488/381,9539/7162 = [GCF of 8488,9539]/[LCM of 381,7162]= 1/2728722

Therefore, the GCF of 8488/381,9539/7162 is 1/2728722.

Greatest Common Factor of 8488,9539

To find the highest common factor of 8488,9539, we have to find the factors of both numbers and list the highest common factor.

The factors of 8488 are 1, 2, 4, 8, 1061, 2122, 4244, 8488

The factors of 9539 are 1, 9539

The HCF of 8488,9539 is 1.

Lets's calculate GCF of 8488,9539

Greatest Common Factor (GCF) of 8488,9539 By Common Division

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

Greatest Common Factor of 8488,9539 By Matching Biggest Common Factor Method

Now, list down the factors of 8488

1,2,4,8,1061,2122,4244,8488

Now, list down the factors of 9539

1,9539

Greatest Common Factor

We found the factors 8488,9539 . The biggest common factor number is the GCF number.
So the greatest common factor 8488,9539 is 1.

Lets's calculate LCM of 381,7162

Lowest Common Multiple of 381,7162 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2728722

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2728722

Therefore, the GCF of Fractions 8488/381,9539/7162 is 1/2728722

Least Common Multiple of 381,7162 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 381,7162 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(381,7162) = 1

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

GCF(381,7162) x common factors =1 x 1 = 1

LCM(381,7162) = ( 381 × 7162 ) / 1

LCM(381,7162) = 2728722 / 1

LCM(381,7162) = 2728722

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FAQs on GCF of Fractions of 8488/381, 9539/7162

1. What is the HCF of 8488,9539?

The HCF of 8488,9539 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 8488/381, 9539/7162?

Answer: GCF of Numerators as per given numbers 8488/381, 9539/7162 is

GCF of Numerators i.e. for 8488,9539 is 1

LCM of denominators i.e. for 381,7162 is 2728722.

Thus, GCF of Fractions is 1/2728722.Finally, GCF of Fractions for 8488/381, 9539/7162 is 1/2728722.