How to Find GCF of 7117/540, 4180/3113?

GCF of 7117/540, 4180/3113

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 7117/540, 4180/3113 i.e 11/1681020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7117/540, 4180/3113.

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 7117/540,4180/3113?

Given fractions are 7117/540,4180/3113

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 7117/540,4180/3113, numerators are 7117,4180

Denominators are 540,3113

The GCF of 7117,4180 is 11 .

LCM of 540,3113 is 1681020.

The greatest common factor of 7117/540,4180/3113 = [GCF of 7117,4180]/[LCM of 540,3113]= 11/1681020

Therefore, the GCF of 7117/540,4180/3113 is 11/1681020.

Greatest Common Factor of 7117,4180

To find the highest common factor of 7117,4180, we have to find the factors of both numbers and list the highest common factor.

The factors of 7117 are 1, 11, 647, 7117

The factors of 4180 are 1, 2, 4, 5, 10, 11, 19, 20, 22, 38, 44, 55, 76, 95, 110, 190, 209, 220, 380, 418, 836, 1045, 2090, 4180

The HCF of 7117,4180 is 11.

Lets's calculate GCF of 7117,4180

Greatest Common Factor (GCF) of 7117,4180 By Common Division

11	7117, 4180
	647, 380

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 7117,4180 By Matching Biggest Common Factor Method

Now, list down the factors of 7117

1,11,647,7117

Now, list down the factors of 4180

1,2,4,5,10,11,19,20,22,38,44,55,76,95,110,190,209,220,380,418,836,1045,2090,4180

Greatest Common Factor

We found the factors 7117,4180 . The biggest common factor number is the GCF number.
So the greatest common factor 7117,4180 is 11.

Lets's calculate LCM of 540,3113

Lowest Common Multiple of 540,3113 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1681020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/1681020

Therefore, the GCF of Fractions 7117/540,4180/3113 is 11/1681020

Least Common Multiple of 540,3113 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 540,3113 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(540,3113) = 1

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

GCF(540,3113) x common factors =1 x 1 = 1

LCM(540,3113) = ( 540 × 3113 ) / 1

LCM(540,3113) = 1681020 / 1

LCM(540,3113) = 1681020

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 7117/540, 4180/3113

1. What is the HCF of 7117,4180?

The HCF of 7117,4180 is 11

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 7117/540, 4180/3113?

Answer: GCF of Numerators as per given numbers 7117/540, 4180/3113 is

GCF of Numerators i.e. for 7117,4180 is 11

LCM of denominators i.e. for 540,3113 is 1681020.

Thus, GCF of Fractions is 11/1681020.Finally, GCF of Fractions for 7117/540, 4180/3113 is 11/1681020.