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GCF of 5715/148, 7857/411

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 5715/148, 7857/411 i.e 9/60828 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5715/148, 7857/411.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 5715/148,7857/411?

Given fractions are 5715/148,7857/411

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 5715/148,7857/411, numerators are 5715,7857

Denominators are 148,411

The GCF of 5715,7857 is 9 .

LCM of 148,411 is 60828.

The greatest common factor of 5715/148,7857/411 = [GCF of 5715,7857]/[LCM of 148,411]= 9/60828

Therefore, the GCF of 5715/148,7857/411 is 9/60828.

Greatest Common Factor of 5715,7857

To find the highest common factor of 5715,7857, we have to find the factors of both numbers and list the highest common factor.

The factors of 5715 are 1, 3, 5, 9, 15, 45, 127, 381, 635, 1143, 1905, 5715

The factors of 7857 are 1, 3, 9, 27, 81, 97, 291, 873, 2619, 7857

The HCF of 5715,7857 is 9.

Lets's calculate GCF of 5715,7857

Greatest Common Factor (GCF) of 5715,7857 By Common Division

3 5715, 7857
3 1905, 2619
635, 873

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 5715,7857 By Matching Biggest Common Factor Method

Greatest Common Factor of 5715,7857 By Matching Biggest Common Factor Method

Now, list down the factors of 5715

:

1,3,5,9,15,45,127,381,635,1143,1905,5715

Now, list down the factors of 7857

:

1,3,9,27,81,97,291,873,2619,7857

Greatest Common Factor

We found the factors 5715,7857 . The biggest common factor number is the GCF number.
So the greatest common factor 5715,7857 is 9.


Lets's calculate LCM of 148,411

Lowest Common Multiple of 148,411 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 60828

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/60828

Therefore, the GCF of Fractions 5715/148,7857/411 is 9/60828

Least Common Multiple of 148,411 with GCF Formula

Least Common Multiple of 148,411 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 148,411 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(148,411) = 1

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

GCF(148,411) x common factors =1 x 1 = 1

LCM(148,411) = ( 148 × 411 ) / 1

LCM(148,411) = 60828 / 1

LCM(148,411) = 60828


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 5715/148, 7857/411

1. What is the HCF of 5715,7857?

The HCF of 5715,7857 is 9

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 5715/148, 7857/411?

Answer: GCF of Numerators as per given numbers 5715/148, 7857/411 is

GCF of Numerators i.e. for 5715,7857 is 9

LCM of denominators i.e. for 148,411 is 60828.

Thus, GCF of Fractions is 9/60828.Finally, GCF of Fractions for 5715/148, 7857/411 is 9/60828.