How to Find GCF of 7576/120, 7723/2686?

GCF of 7576/120, 7723/2686

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 7576/120, 7723/2686 i.e 1/161160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7576/120, 7723/2686.

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 7576/120,7723/2686?

Given fractions are 7576/120,7723/2686

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 7576/120,7723/2686, numerators are 7576,7723

Denominators are 120,2686

The GCF of 7576,7723 is 1 .

LCM of 120,2686 is 161160.

The greatest common factor of 7576/120,7723/2686 = [GCF of 7576,7723]/[LCM of 120,2686]= 1/161160

Therefore, the GCF of 7576/120,7723/2686 is 1/161160.

Greatest Common Factor of 7576,7723

To find the highest common factor of 7576,7723, we have to find the factors of both numbers and list the highest common factor.

The factors of 7576 are 1, 2, 4, 8, 947, 1894, 3788, 7576

The factors of 7723 are 1, 7723

The HCF of 7576,7723 is 1.

Lets's calculate GCF of 7576,7723

Greatest Common Factor (GCF) of 7576,7723 By Common Division

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

Greatest Common Factor of 7576,7723 By Matching Biggest Common Factor Method

Now, list down the factors of 7576

1,2,4,8,947,1894,3788,7576

Now, list down the factors of 7723

1,7723

Greatest Common Factor

We found the factors 7576,7723 . The biggest common factor number is the GCF number.
So the greatest common factor 7576,7723 is 1.

Lets's calculate LCM of 120,2686

Lowest Common Multiple of 120,2686 using Common Division

2	120, 2686
	60, 1343

∴ So the LCM of the given numbers is 2 x 60 x 1343 = 161160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/161160

Therefore, the GCF of Fractions 7576/120,7723/2686 is 1/161160

Least Common Multiple of 120,2686 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 120,2686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(120,2686) = 2

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

GCF(120,2686) x common factors =2 x 1 = 2

LCM(120,2686) = ( 120 × 2686 ) / 2

LCM(120,2686) = 322320 / 2

LCM(120,2686) = 161160

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FAQs on GCF of Fractions of 7576/120, 7723/2686

1. What is the HCF of 7576,7723?

The HCF of 7576,7723 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 7576/120, 7723/2686?

Answer: GCF of Numerators as per given numbers 7576/120, 7723/2686 is

GCF of Numerators i.e. for 7576,7723 is 1

LCM of denominators i.e. for 120,2686 is 161160.

Thus, GCF of Fractions is 1/161160.Finally, GCF of Fractions for 7576/120, 7723/2686 is 1/161160.