How to Find GCF of 5078/986, 5899/9260?

GCF of 5078/986, 5899/9260

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 5078/986, 5899/9260 i.e 1/4565180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5078/986, 5899/9260.

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 5078/986,5899/9260?

Given fractions are 5078/986,5899/9260

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 5078/986,5899/9260, numerators are 5078,5899

Denominators are 986,9260

The GCF of 5078,5899 is 1 .

LCM of 986,9260 is 4565180.

The greatest common factor of 5078/986,5899/9260 = [GCF of 5078,5899]/[LCM of 986,9260]= 1/4565180

Therefore, the GCF of 5078/986,5899/9260 is 1/4565180.

Greatest Common Factor of 5078,5899

To find the highest common factor of 5078,5899, we have to find the factors of both numbers and list the highest common factor.

The factors of 5078 are 1, 2, 2539, 5078

The factors of 5899 are 1, 17, 347, 5899

The HCF of 5078,5899 is 1.

Lets's calculate GCF of 5078,5899

Greatest Common Factor (GCF) of 5078,5899 By Common Division

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

Greatest Common Factor of 5078,5899 By Matching Biggest Common Factor Method

Now, list down the factors of 5078

1,2,2539,5078

Now, list down the factors of 5899

1,17,347,5899

Greatest Common Factor

We found the factors 5078,5899 . The biggest common factor number is the GCF number.
So the greatest common factor 5078,5899 is 1.

Lets's calculate LCM of 986,9260

Lowest Common Multiple of 986,9260 using Common Division

2	986, 9260
	493, 4630

∴ So the LCM of the given numbers is 2 x 493 x 4630 = 4565180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4565180

Therefore, the GCF of Fractions 5078/986,5899/9260 is 1/4565180

Least Common Multiple of 986,9260 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 986,9260 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(986,9260) = 2

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

GCF(986,9260) x common factors =2 x 1 = 2

LCM(986,9260) = ( 986 × 9260 ) / 2

LCM(986,9260) = 9130360 / 2

LCM(986,9260) = 4565180

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5078/986, 5899/9260

1. What is the HCF of 5078,5899?

The HCF of 5078,5899 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 5078/986, 5899/9260?

Answer: GCF of Numerators as per given numbers 5078/986, 5899/9260 is

GCF of Numerators i.e. for 5078,5899 is 1

LCM of denominators i.e. for 986,9260 is 4565180.

Thus, GCF of Fractions is 1/4565180.Finally, GCF of Fractions for 5078/986, 5899/9260 is 1/4565180.