How to Find GCF of 4517/655, 7129/8726?

GCF of 4517/655, 7129/8726

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 4517/655, 7129/8726 i.e 1/5715530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4517/655, 7129/8726.

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 4517/655,7129/8726?

Given fractions are 4517/655,7129/8726

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 4517/655,7129/8726, numerators are 4517,7129

Denominators are 655,8726

The GCF of 4517,7129 is 1 .

LCM of 655,8726 is 5715530.

The greatest common factor of 4517/655,7129/8726 = [GCF of 4517,7129]/[LCM of 655,8726]= 1/5715530

Therefore, the GCF of 4517/655,7129/8726 is 1/5715530.

Greatest Common Factor of 4517,7129

To find the highest common factor of 4517,7129, we have to find the factors of both numbers and list the highest common factor.

The factors of 4517 are 1, 4517

The factors of 7129 are 1, 7129

The HCF of 4517,7129 is 1.

Lets's calculate GCF of 4517,7129

Greatest Common Factor (GCF) of 4517,7129 By Common Division

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

Greatest Common Factor of 4517,7129 By Matching Biggest Common Factor Method

Now, list down the factors of 4517

1,4517

Now, list down the factors of 7129

1,7129

Greatest Common Factor

We found the factors 4517,7129 . The biggest common factor number is the GCF number.
So the greatest common factor 4517,7129 is 1.

Lets's calculate LCM of 655,8726

Lowest Common Multiple of 655,8726 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5715530

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5715530

Therefore, the GCF of Fractions 4517/655,7129/8726 is 1/5715530

Least Common Multiple of 655,8726 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 655,8726 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(655,8726) = 1

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

GCF(655,8726) x common factors =1 x 1 = 1

LCM(655,8726) = ( 655 × 8726 ) / 1

LCM(655,8726) = 5715530 / 1

LCM(655,8726) = 5715530

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FAQs on GCF of Fractions of 4517/655, 7129/8726

1. What is the HCF of 4517,7129?

The HCF of 4517,7129 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 4517/655, 7129/8726?

Answer: GCF of Numerators as per given numbers 4517/655, 7129/8726 is

GCF of Numerators i.e. for 4517,7129 is 1

LCM of denominators i.e. for 655,8726 is 5715530.

Thus, GCF of Fractions is 1/5715530.Finally, GCF of Fractions for 4517/655, 7129/8726 is 1/5715530.