How to Find GCF of 2819/822, 5719/9616?

GCF of 2819/822, 5719/9616

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 2819/822, 5719/9616 i.e 1/3952176 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2819/822, 5719/9616.

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 2819/822,5719/9616?

Given fractions are 2819/822,5719/9616

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 2819/822,5719/9616, numerators are 2819,5719

Denominators are 822,9616

The GCF of 2819,5719 is 1 .

LCM of 822,9616 is 3952176.

The greatest common factor of 2819/822,5719/9616 = [GCF of 2819,5719]/[LCM of 822,9616]= 1/3952176

Therefore, the GCF of 2819/822,5719/9616 is 1/3952176.

Greatest Common Factor of 2819,5719

To find the highest common factor of 2819,5719, we have to find the factors of both numbers and list the highest common factor.

The factors of 2819 are 1, 2819

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

The HCF of 2819,5719 is 1.

Lets's calculate GCF of 2819,5719

Greatest Common Factor (GCF) of 2819,5719 By Common Division

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

Greatest Common Factor of 2819,5719 By Matching Biggest Common Factor Method

Now, list down the factors of 2819

1,2819

Now, list down the factors of 5719

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

Greatest Common Factor

We found the factors 2819,5719 . The biggest common factor number is the GCF number.
So the greatest common factor 2819,5719 is 1.

Lets's calculate LCM of 822,9616

Lowest Common Multiple of 822,9616 using Common Division

2	822, 9616
	411, 4808

∴ So the LCM of the given numbers is 2 x 411 x 4808 = 3952176

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3952176

Therefore, the GCF of Fractions 2819/822,5719/9616 is 1/3952176

Least Common Multiple of 822,9616 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 822,9616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(822,9616) = 2

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

GCF(822,9616) x common factors =2 x 1 = 2

LCM(822,9616) = ( 822 × 9616 ) / 2

LCM(822,9616) = 7904352 / 2

LCM(822,9616) = 3952176

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2819/822, 5719/9616

1. What is the HCF of 2819,5719?

The HCF of 2819,5719 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 2819/822, 5719/9616?

Answer: GCF of Numerators as per given numbers 2819/822, 5719/9616 is

GCF of Numerators i.e. for 2819,5719 is 1

LCM of denominators i.e. for 822,9616 is 3952176.

Thus, GCF of Fractions is 1/3952176.Finally, GCF of Fractions for 2819/822, 5719/9616 is 1/3952176.