How to Find GCF of 8739/410, 5449/137?

GCF of 8739/410, 5449/137

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 8739/410, 5449/137 i.e 1/56170 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8739/410, 5449/137.

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 8739/410,5449/137?

Given fractions are 8739/410,5449/137

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 8739/410,5449/137, numerators are 8739,5449

Denominators are 410,137

The GCF of 8739,5449 is 1 .

LCM of 410,137 is 56170.

The greatest common factor of 8739/410,5449/137 = [GCF of 8739,5449]/[LCM of 410,137]= 1/56170

Therefore, the GCF of 8739/410,5449/137 is 1/56170.

Greatest Common Factor of 8739,5449

To find the highest common factor of 8739,5449, we have to find the factors of both numbers and list the highest common factor.

The factors of 8739 are 1, 3, 9, 971, 2913, 8739

The factors of 5449 are 1, 5449

The HCF of 8739,5449 is 1.

Lets's calculate GCF of 8739,5449

Greatest Common Factor (GCF) of 8739,5449 By Common Division

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

Greatest Common Factor of 8739,5449 By Matching Biggest Common Factor Method

Now, list down the factors of 8739

1,3,9,971,2913,8739

Now, list down the factors of 5449

1,5449

Greatest Common Factor

We found the factors 8739,5449 . The biggest common factor number is the GCF number.
So the greatest common factor 8739,5449 is 1.

Lets's calculate LCM of 410,137

Lowest Common Multiple of 410,137 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 56170

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56170

Therefore, the GCF of Fractions 8739/410,5449/137 is 1/56170

Least Common Multiple of 410,137 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 410,137 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(410,137) = 1

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

GCF(410,137) x common factors =1 x 1 = 1

LCM(410,137) = ( 410 × 137 ) / 1

LCM(410,137) = 56170 / 1

LCM(410,137) = 56170

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FAQs on GCF of Fractions of 8739/410, 5449/137

1. What is the HCF of 8739,5449?

The HCF of 8739,5449 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 8739/410, 5449/137?

Answer: GCF of Numerators as per given numbers 8739/410, 5449/137 is

GCF of Numerators i.e. for 8739,5449 is 1

LCM of denominators i.e. for 410,137 is 56170.

Thus, GCF of Fractions is 1/56170.Finally, GCF of Fractions for 8739/410, 5449/137 is 1/56170.