How to Find GCF of 8761/469, 4155/6824?

GCF of 8761/469, 4155/6824

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 8761/469, 4155/6824 i.e 1/3200456 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8761/469, 4155/6824.

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 8761/469,4155/6824?

Given fractions are 8761/469,4155/6824

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 8761/469,4155/6824, numerators are 8761,4155

Denominators are 469,6824

The GCF of 8761,4155 is 1 .

LCM of 469,6824 is 3200456.

The greatest common factor of 8761/469,4155/6824 = [GCF of 8761,4155]/[LCM of 469,6824]= 1/3200456

Therefore, the GCF of 8761/469,4155/6824 is 1/3200456.

Greatest Common Factor of 8761,4155

To find the highest common factor of 8761,4155, we have to find the factors of both numbers and list the highest common factor.

The factors of 8761 are 1, 8761

The factors of 4155 are 1, 3, 5, 15, 277, 831, 1385, 4155

The HCF of 8761,4155 is 1.

Lets's calculate GCF of 8761,4155

Greatest Common Factor (GCF) of 8761,4155 By Common Division

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

Greatest Common Factor of 8761,4155 By Matching Biggest Common Factor Method

Now, list down the factors of 8761

1,8761

Now, list down the factors of 4155

1,3,5,15,277,831,1385,4155

Greatest Common Factor

We found the factors 8761,4155 . The biggest common factor number is the GCF number.
So the greatest common factor 8761,4155 is 1.

Lets's calculate LCM of 469,6824

Lowest Common Multiple of 469,6824 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3200456

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3200456

Therefore, the GCF of Fractions 8761/469,4155/6824 is 1/3200456

Least Common Multiple of 469,6824 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 469,6824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(469,6824) = 1

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

GCF(469,6824) x common factors =1 x 1 = 1

LCM(469,6824) = ( 469 × 6824 ) / 1

LCM(469,6824) = 3200456 / 1

LCM(469,6824) = 3200456

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FAQs on GCF of Fractions of 8761/469, 4155/6824

1. What is the HCF of 8761,4155?

The HCF of 8761,4155 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 8761/469, 4155/6824?

Answer: GCF of Numerators as per given numbers 8761/469, 4155/6824 is

GCF of Numerators i.e. for 8761,4155 is 1

LCM of denominators i.e. for 469,6824 is 3200456.

Thus, GCF of Fractions is 1/3200456.Finally, GCF of Fractions for 8761/469, 4155/6824 is 1/3200456.