How to Find GCF of 2884/610, 5339/6091?

GCF of 2884/610, 5339/6091

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 2884/610, 5339/6091 i.e 1/3715510 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2884/610, 5339/6091.

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 2884/610,5339/6091?

Given fractions are 2884/610,5339/6091

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 2884/610,5339/6091, numerators are 2884,5339

Denominators are 610,6091

The GCF of 2884,5339 is 1 .

LCM of 610,6091 is 3715510.

The greatest common factor of 2884/610,5339/6091 = [GCF of 2884,5339]/[LCM of 610,6091]= 1/3715510

Therefore, the GCF of 2884/610,5339/6091 is 1/3715510.

Greatest Common Factor of 2884,5339

To find the highest common factor of 2884,5339, we have to find the factors of both numbers and list the highest common factor.

The factors of 2884 are 1, 2, 4, 7, 14, 28, 103, 206, 412, 721, 1442, 2884

The factors of 5339 are 1, 19, 281, 5339

The HCF of 2884,5339 is 1.

Lets's calculate GCF of 2884,5339

Greatest Common Factor (GCF) of 2884,5339 By Common Division

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

Greatest Common Factor of 2884,5339 By Matching Biggest Common Factor Method

Now, list down the factors of 2884

1,2,4,7,14,28,103,206,412,721,1442,2884

Now, list down the factors of 5339

1,19,281,5339

Greatest Common Factor

We found the factors 2884,5339 . The biggest common factor number is the GCF number.
So the greatest common factor 2884,5339 is 1.

Lets's calculate LCM of 610,6091

Lowest Common Multiple of 610,6091 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3715510

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3715510

Therefore, the GCF of Fractions 2884/610,5339/6091 is 1/3715510

Least Common Multiple of 610,6091 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 610,6091 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(610,6091) = 1

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

GCF(610,6091) x common factors =1 x 1 = 1

LCM(610,6091) = ( 610 × 6091 ) / 1

LCM(610,6091) = 3715510 / 1

LCM(610,6091) = 3715510

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FAQs on GCF of Fractions of 2884/610, 5339/6091

1. What is the HCF of 2884,5339?

The HCF of 2884,5339 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 2884/610, 5339/6091?

Answer: GCF of Numerators as per given numbers 2884/610, 5339/6091 is

GCF of Numerators i.e. for 2884,5339 is 1

LCM of denominators i.e. for 610,6091 is 3715510.

Thus, GCF of Fractions is 1/3715510.Finally, GCF of Fractions for 2884/610, 5339/6091 is 1/3715510.