How to Find GCF of 715/780, 5727/7798?

GCF of 715/780, 5727/7798

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 715/780, 5727/7798 i.e 1/3041220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 715/780, 5727/7798.

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 715/780,5727/7798?

Given fractions are 715/780,5727/7798

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 715/780,5727/7798, numerators are 715,5727

Denominators are 780,7798

The GCF of 715,5727 is 1 .

LCM of 780,7798 is 3041220.

The greatest common factor of 715/780,5727/7798 = [GCF of 715,5727]/[LCM of 780,7798]= 1/3041220

Therefore, the GCF of 715/780,5727/7798 is 1/3041220.

Greatest Common Factor of 715,5727

To find the highest common factor of 715,5727, we have to find the factors of both numbers and list the highest common factor.

The factors of 715 are 1, 5, 11, 13, 55, 65, 143, 715

The factors of 5727 are 1, 3, 23, 69, 83, 249, 1909, 5727

The HCF of 715,5727 is 1.

Lets's calculate GCF of 715,5727

Greatest Common Factor (GCF) of 715,5727 By Common Division

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

Greatest Common Factor of 715,5727 By Matching Biggest Common Factor Method

Now, list down the factors of 715

1,5,11,13,55,65,143,715

Now, list down the factors of 5727

1,3,23,69,83,249,1909,5727

Greatest Common Factor

We found the factors 715,5727 . The biggest common factor number is the GCF number.
So the greatest common factor 715,5727 is 1.

Lets's calculate LCM of 780,7798

Lowest Common Multiple of 780,7798 using Common Division

2	780, 7798
	390, 3899

∴ So the LCM of the given numbers is 2 x 390 x 3899 = 3041220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3041220

Therefore, the GCF of Fractions 715/780,5727/7798 is 1/3041220

Least Common Multiple of 780,7798 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 780,7798 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(780,7798) = 2

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

GCF(780,7798) x common factors =2 x 1 = 2

LCM(780,7798) = ( 780 × 7798 ) / 2

LCM(780,7798) = 6082440 / 2

LCM(780,7798) = 3041220

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FAQs on GCF of Fractions of 715/780, 5727/7798

1. What is the HCF of 715,5727?

The HCF of 715,5727 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 715/780, 5727/7798?

Answer: GCF of Numerators as per given numbers 715/780, 5727/7798 is

GCF of Numerators i.e. for 715,5727 is 1

LCM of denominators i.e. for 780,7798 is 3041220.

Thus, GCF of Fractions is 1/3041220.Finally, GCF of Fractions for 715/780, 5727/7798 is 1/3041220.