How to Find GCF of 2707/586, 1109/8708?

GCF of 2707/586, 1109/8708

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 2707/586, 1109/8708 i.e 1/2551444 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2707/586, 1109/8708.

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 2707/586,1109/8708?

Given fractions are 2707/586,1109/8708

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 2707/586,1109/8708, numerators are 2707,1109

Denominators are 586,8708

The GCF of 2707,1109 is 1 .

LCM of 586,8708 is 2551444.

The greatest common factor of 2707/586,1109/8708 = [GCF of 2707,1109]/[LCM of 586,8708]= 1/2551444

Therefore, the GCF of 2707/586,1109/8708 is 1/2551444.

Greatest Common Factor of 2707,1109

To find the highest common factor of 2707,1109, we have to find the factors of both numbers and list the highest common factor.

The factors of 2707 are 1, 2707

The factors of 1109 are 1, 1109

The HCF of 2707,1109 is 1.

Lets's calculate GCF of 2707,1109

Greatest Common Factor (GCF) of 2707,1109 By Common Division

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

Greatest Common Factor of 2707,1109 By Matching Biggest Common Factor Method

Now, list down the factors of 2707

1,2707

Now, list down the factors of 1109

1,1109

Greatest Common Factor

We found the factors 2707,1109 . The biggest common factor number is the GCF number.
So the greatest common factor 2707,1109 is 1.

Lets's calculate LCM of 586,8708

Lowest Common Multiple of 586,8708 using Common Division

2	586, 8708
	293, 4354

∴ So the LCM of the given numbers is 2 x 293 x 4354 = 2551444

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2551444

Therefore, the GCF of Fractions 2707/586,1109/8708 is 1/2551444

Least Common Multiple of 586,8708 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 586,8708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(586,8708) = 2

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

GCF(586,8708) x common factors =2 x 1 = 2

LCM(586,8708) = ( 586 × 8708 ) / 2

LCM(586,8708) = 5102888 / 2

LCM(586,8708) = 2551444

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FAQs on GCF of Fractions of 2707/586, 1109/8708

1. What is the HCF of 2707,1109?

The HCF of 2707,1109 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 2707/586, 1109/8708?

Answer: GCF of Numerators as per given numbers 2707/586, 1109/8708 is

GCF of Numerators i.e. for 2707,1109 is 1

LCM of denominators i.e. for 586,8708 is 2551444.

Thus, GCF of Fractions is 1/2551444.Finally, GCF of Fractions for 2707/586, 1109/8708 is 1/2551444.