How to Find GCF of 719/392, 3103/488?

GCF of 719/392, 3103/488

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 719/392, 3103/488 i.e 1/23912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 719/392, 3103/488.

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 719/392,3103/488?

Given fractions are 719/392,3103/488

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 719/392,3103/488, numerators are 719,3103

Denominators are 392,488

The GCF of 719,3103 is 1 .

LCM of 392,488 is 23912.

The greatest common factor of 719/392,3103/488 = [GCF of 719,3103]/[LCM of 392,488]= 1/23912

Therefore, the GCF of 719/392,3103/488 is 1/23912.

Greatest Common Factor of 719,3103

To find the highest common factor of 719,3103, we have to find the factors of both numbers and list the highest common factor.

The factors of 719 are 1, 719

The factors of 3103 are 1, 29, 107, 3103

The HCF of 719,3103 is 1.

Lets's calculate GCF of 719,3103

Greatest Common Factor (GCF) of 719,3103 By Common Division

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

Greatest Common Factor of 719,3103 By Matching Biggest Common Factor Method

Now, list down the factors of 719

1,719

Now, list down the factors of 3103

1,29,107,3103

Greatest Common Factor

We found the factors 719,3103 . The biggest common factor number is the GCF number.
So the greatest common factor 719,3103 is 1.

Lets's calculate LCM of 392,488

Lowest Common Multiple of 392,488 using Common Division

2	392, 488
2	196, 244
2	98, 122
	49, 61

∴ So the LCM of the given numbers is 2 x 2 x 2 x 49 x 61 = 23912

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23912

Therefore, the GCF of Fractions 719/392,3103/488 is 1/23912

Least Common Multiple of 392,488 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 392,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(392,488) = 8

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

GCF(392,488) x common factors =8 x 1 = 8

LCM(392,488) = ( 392 × 488 ) / 8

LCM(392,488) = 191296 / 8

LCM(392,488) = 23912

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FAQs on GCF of Fractions of 719/392, 3103/488

1. What is the HCF of 719,3103?

The HCF of 719,3103 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 719/392, 3103/488?

Answer: GCF of Numerators as per given numbers 719/392, 3103/488 is

GCF of Numerators i.e. for 719,3103 is 1

LCM of denominators i.e. for 392,488 is 23912.

Thus, GCF of Fractions is 1/23912.Finally, GCF of Fractions for 719/392, 3103/488 is 1/23912.