How to Find GCF of 2706/947, 5648/2521?

GCF of 2706/947, 5648/2521

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 2706/947, 5648/2521 i.e 2/2387387 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2706/947, 5648/2521.

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 2706/947,5648/2521?

Given fractions are 2706/947,5648/2521

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 2706/947,5648/2521, numerators are 2706,5648

Denominators are 947,2521

The GCF of 2706,5648 is 2 .

LCM of 947,2521 is 2387387.

The greatest common factor of 2706/947,5648/2521 = [GCF of 2706,5648]/[LCM of 947,2521]= 2/2387387

Therefore, the GCF of 2706/947,5648/2521 is 2/2387387.

Greatest Common Factor of 2706,5648

To find the highest common factor of 2706,5648, we have to find the factors of both numbers and list the highest common factor.

The factors of 2706 are 1, 2, 3, 6, 11, 22, 33, 41, 66, 82, 123, 246, 451, 902, 1353, 2706

The factors of 5648 are 1, 2, 4, 8, 16, 353, 706, 1412, 2824, 5648

The HCF of 2706,5648 is 2.

Lets's calculate GCF of 2706,5648

Greatest Common Factor (GCF) of 2706,5648 By Common Division

2	2706, 5648
	1353, 2824

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 2706,5648 By Matching Biggest Common Factor Method

Now, list down the factors of 2706

1,2,3,6,11,22,33,41,66,82,123,246,451,902,1353,2706

Now, list down the factors of 5648

1,2,4,8,16,353,706,1412,2824,5648

Greatest Common Factor

We found the factors 2706,5648 . The biggest common factor number is the GCF number.
So the greatest common factor 2706,5648 is 2.

Lets's calculate LCM of 947,2521

Lowest Common Multiple of 947,2521 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2387387

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2387387

Therefore, the GCF of Fractions 2706/947,5648/2521 is 2/2387387

Least Common Multiple of 947,2521 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 947,2521 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(947,2521) = 1

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

GCF(947,2521) x common factors =1 x 1 = 1

LCM(947,2521) = ( 947 × 2521 ) / 1

LCM(947,2521) = 2387387 / 1

LCM(947,2521) = 2387387

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 2706/947, 5648/2521

1. What is the HCF of 2706,5648?

The HCF of 2706,5648 is 2

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 2706/947, 5648/2521?

Answer: GCF of Numerators as per given numbers 2706/947, 5648/2521 is

GCF of Numerators i.e. for 2706,5648 is 2

LCM of denominators i.e. for 947,2521 is 2387387.

Thus, GCF of Fractions is 2/2387387.Finally, GCF of Fractions for 2706/947, 5648/2521 is 2/2387387.