How to Find GCF of 5948/325, 4939/7709?

GCF of 5948/325, 4939/7709

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 5948/325, 4939/7709 i.e 1/192725 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5948/325, 4939/7709.

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 5948/325,4939/7709?

Given fractions are 5948/325,4939/7709

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 5948/325,4939/7709, numerators are 5948,4939

Denominators are 325,7709

The GCF of 5948,4939 is 1 .

LCM of 325,7709 is 192725.

The greatest common factor of 5948/325,4939/7709 = [GCF of 5948,4939]/[LCM of 325,7709]= 1/192725

Therefore, the GCF of 5948/325,4939/7709 is 1/192725.

Greatest Common Factor of 5948,4939

To find the highest common factor of 5948,4939, we have to find the factors of both numbers and list the highest common factor.

The factors of 5948 are 1, 2, 4, 1487, 2974, 5948

The factors of 4939 are 1, 11, 449, 4939

The HCF of 5948,4939 is 1.

Lets's calculate GCF of 5948,4939

Greatest Common Factor (GCF) of 5948,4939 By Common Division

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

Greatest Common Factor of 5948,4939 By Matching Biggest Common Factor Method

Now, list down the factors of 5948

1,2,4,1487,2974,5948

Now, list down the factors of 4939

1,11,449,4939

Greatest Common Factor

We found the factors 5948,4939 . The biggest common factor number is the GCF number.
So the greatest common factor 5948,4939 is 1.

Lets's calculate LCM of 325,7709

Lowest Common Multiple of 325,7709 using Common Division

13	325, 7709
	25, 593

∴ So the LCM of the given numbers is 13 x 25 x 593 = 192725

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/192725

Therefore, the GCF of Fractions 5948/325,4939/7709 is 1/192725

Least Common Multiple of 325,7709 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 325,7709 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(325,7709) = 13

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

GCF(325,7709) x common factors =13 x 1 = 13

LCM(325,7709) = ( 325 × 7709 ) / 13

LCM(325,7709) = 2505425 / 13

LCM(325,7709) = 192725

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FAQs on GCF of Fractions of 5948/325, 4939/7709

1. What is the HCF of 5948,4939?

The HCF of 5948,4939 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 5948/325, 4939/7709?

Answer: GCF of Numerators as per given numbers 5948/325, 4939/7709 is

GCF of Numerators i.e. for 5948,4939 is 1

LCM of denominators i.e. for 325,7709 is 192725.

Thus, GCF of Fractions is 1/192725.Finally, GCF of Fractions for 5948/325, 4939/7709 is 1/192725.