How to Find GCF of 3959/340, 5438/9078?

GCF of 3959/340, 5438/9078

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 3959/340, 5438/9078 i.e 1/90780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3959/340, 5438/9078.

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 3959/340,5438/9078?

Given fractions are 3959/340,5438/9078

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 3959/340,5438/9078, numerators are 3959,5438

Denominators are 340,9078

The GCF of 3959,5438 is 1 .

LCM of 340,9078 is 90780.

The greatest common factor of 3959/340,5438/9078 = [GCF of 3959,5438]/[LCM of 340,9078]= 1/90780

Therefore, the GCF of 3959/340,5438/9078 is 1/90780.

Greatest Common Factor of 3959,5438

To find the highest common factor of 3959,5438, we have to find the factors of both numbers and list the highest common factor.

The factors of 3959 are 1, 37, 107, 3959

The factors of 5438 are 1, 2, 2719, 5438

The HCF of 3959,5438 is 1.

Lets's calculate GCF of 3959,5438

Greatest Common Factor (GCF) of 3959,5438 By Common Division

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

Greatest Common Factor of 3959,5438 By Matching Biggest Common Factor Method

Now, list down the factors of 3959

1,37,107,3959

Now, list down the factors of 5438

1,2,2719,5438

Greatest Common Factor

We found the factors 3959,5438 . The biggest common factor number is the GCF number.
So the greatest common factor 3959,5438 is 1.

Lets's calculate LCM of 340,9078

Lowest Common Multiple of 340,9078 using Common Division

2	340, 9078
17	170, 4539
	10, 267

∴ So the LCM of the given numbers is 2 x 17 x 10 x 267 = 90780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/90780

Therefore, the GCF of Fractions 3959/340,5438/9078 is 1/90780

Least Common Multiple of 340,9078 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 340,9078 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(340,9078) = 34

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

GCF(340,9078) x common factors =34 x 1 = 34

LCM(340,9078) = ( 340 × 9078 ) / 34

LCM(340,9078) = 3086520 / 34

LCM(340,9078) = 90780

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FAQs on GCF of Fractions of 3959/340, 5438/9078

1. What is the HCF of 3959,5438?

The HCF of 3959,5438 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 3959/340, 5438/9078?

Answer: GCF of Numerators as per given numbers 3959/340, 5438/9078 is

GCF of Numerators i.e. for 3959,5438 is 1

LCM of denominators i.e. for 340,9078 is 90780.

Thus, GCF of Fractions is 1/90780.Finally, GCF of Fractions for 3959/340, 5438/9078 is 1/90780.