How to Find GCF of 8939/423, 1139/8531?

GCF of 8939/423, 1139/8531

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 8939/423, 1139/8531 i.e 1/3608613 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8939/423, 1139/8531.

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 8939/423,1139/8531?

Given fractions are 8939/423,1139/8531

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 8939/423,1139/8531, numerators are 8939,1139

Denominators are 423,8531

The GCF of 8939,1139 is 1 .

LCM of 423,8531 is 3608613.

The greatest common factor of 8939/423,1139/8531 = [GCF of 8939,1139]/[LCM of 423,8531]= 1/3608613

Therefore, the GCF of 8939/423,1139/8531 is 1/3608613.

Greatest Common Factor of 8939,1139

To find the highest common factor of 8939,1139, we have to find the factors of both numbers and list the highest common factor.

The factors of 8939 are 1, 7, 1277, 8939

The factors of 1139 are 1, 17, 67, 1139

The HCF of 8939,1139 is 1.

Lets's calculate GCF of 8939,1139

Greatest Common Factor (GCF) of 8939,1139 By Common Division

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

Greatest Common Factor of 8939,1139 By Matching Biggest Common Factor Method

Now, list down the factors of 8939

1,7,1277,8939

Now, list down the factors of 1139

1,17,67,1139

Greatest Common Factor

We found the factors 8939,1139 . The biggest common factor number is the GCF number.
So the greatest common factor 8939,1139 is 1.

Lets's calculate LCM of 423,8531

Lowest Common Multiple of 423,8531 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3608613

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3608613

Therefore, the GCF of Fractions 8939/423,1139/8531 is 1/3608613

Least Common Multiple of 423,8531 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 423,8531 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(423,8531) = 1

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

GCF(423,8531) x common factors =1 x 1 = 1

LCM(423,8531) = ( 423 × 8531 ) / 1

LCM(423,8531) = 3608613 / 1

LCM(423,8531) = 3608613

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FAQs on GCF of Fractions of 8939/423, 1139/8531

1. What is the HCF of 8939,1139?

The HCF of 8939,1139 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 8939/423, 1139/8531?

Answer: GCF of Numerators as per given numbers 8939/423, 1139/8531 is

GCF of Numerators i.e. for 8939,1139 is 1

LCM of denominators i.e. for 423,8531 is 3608613.

Thus, GCF of Fractions is 1/3608613.Finally, GCF of Fractions for 8939/423, 1139/8531 is 1/3608613.