How to Find GCF of 1713/724, 1919/9630?

GCF of 1713/724, 1919/9630

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 1713/724, 1919/9630 i.e 1/3486060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1713/724, 1919/9630.

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 1713/724,1919/9630?

Given fractions are 1713/724,1919/9630

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 1713/724,1919/9630, numerators are 1713,1919

Denominators are 724,9630

The GCF of 1713,1919 is 1 .

LCM of 724,9630 is 3486060.

The greatest common factor of 1713/724,1919/9630 = [GCF of 1713,1919]/[LCM of 724,9630]= 1/3486060

Therefore, the GCF of 1713/724,1919/9630 is 1/3486060.

Greatest Common Factor of 1713,1919

To find the highest common factor of 1713,1919, we have to find the factors of both numbers and list the highest common factor.

The factors of 1713 are 1, 3, 571, 1713

The factors of 1919 are 1, 19, 101, 1919

The HCF of 1713,1919 is 1.

Lets's calculate GCF of 1713,1919

Greatest Common Factor (GCF) of 1713,1919 By Common Division

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

Greatest Common Factor of 1713,1919 By Matching Biggest Common Factor Method

Now, list down the factors of 1713

1,3,571,1713

Now, list down the factors of 1919

1,19,101,1919

Greatest Common Factor

We found the factors 1713,1919 . The biggest common factor number is the GCF number.
So the greatest common factor 1713,1919 is 1.

Lets's calculate LCM of 724,9630

Lowest Common Multiple of 724,9630 using Common Division

2	724, 9630
	362, 4815

∴ So the LCM of the given numbers is 2 x 362 x 4815 = 3486060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3486060

Therefore, the GCF of Fractions 1713/724,1919/9630 is 1/3486060

Least Common Multiple of 724,9630 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 724,9630 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(724,9630) = 2

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

GCF(724,9630) x common factors =2 x 1 = 2

LCM(724,9630) = ( 724 × 9630 ) / 2

LCM(724,9630) = 6972120 / 2

LCM(724,9630) = 3486060

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1713/724, 1919/9630

1. What is the HCF of 1713,1919?

The HCF of 1713,1919 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 1713/724, 1919/9630?

Answer: GCF of Numerators as per given numbers 1713/724, 1919/9630 is

GCF of Numerators i.e. for 1713,1919 is 1

LCM of denominators i.e. for 724,9630 is 3486060.

Thus, GCF of Fractions is 1/3486060.Finally, GCF of Fractions for 1713/724, 1919/9630 is 1/3486060.