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GCF of 5719/846, 1718/854

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 5719/846, 1718/854 i.e 1/361242 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5719/846, 1718/854.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 5719/846,1718/854?

Given fractions are 5719/846,1718/854

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 5719/846,1718/854, numerators are 5719,1718

Denominators are 846,854

The GCF of 5719,1718 is 1 .

LCM of 846,854 is 361242.

The greatest common factor of 5719/846,1718/854 = [GCF of 5719,1718]/[LCM of 846,854]= 1/361242

Therefore, the GCF of 5719/846,1718/854 is 1/361242.

Greatest Common Factor of 5719,1718

To find the highest common factor of 5719,1718, we have to find the factors of both numbers and list the highest common factor.

The factors of 5719 are 1, 7, 19, 43, 133, 301, 817, 5719

The factors of 1718 are 1, 2, 859, 1718

The HCF of 5719,1718 is 1.

Lets's calculate GCF of 5719,1718

Greatest Common Factor (GCF) of 5719,1718 By Common Division

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

Greatest Common Factor of 5719,1718 By Matching Biggest Common Factor Method

Greatest Common Factor of 5719,1718 By Matching Biggest Common Factor Method

Now, list down the factors of 5719

:

1,7,19,43,133,301,817,5719

Now, list down the factors of 1718

:

1,2,859,1718

Greatest Common Factor

We found the factors 5719,1718 . The biggest common factor number is the GCF number.
So the greatest common factor 5719,1718 is 1.

Lets's calculate LCM of 846,854

Lowest Common Multiple of 846,854 using Common Division

2 846, 854
423, 427

∴ So the LCM of the given numbers is 2 x 423 x 427 = 361242

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/361242

Therefore, the GCF of Fractions 5719/846,1718/854 is 1/361242

Least Common Multiple of 846,854 with GCF Formula

Least Common Multiple of 846,854 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 846,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(846,854) = 2

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

GCF(846,854) x common factors =2 x 1 = 2

LCM(846,854) = ( 846 × 854 ) / 2

LCM(846,854) = 722484 / 2

LCM(846,854) = 361242


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5719/846, 1718/854

1. What is the HCF of 5719,1718?

The HCF of 5719,1718 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 5719/846, 1718/854?

Answer: GCF of Numerators as per given numbers 5719/846, 1718/854 is

GCF of Numerators i.e. for 5719,1718 is 1

LCM of denominators i.e. for 846,854 is 361242.

Thus, GCF of Fractions is 1/361242.Finally, GCF of Fractions for 5719/846, 1718/854 is 1/361242.