How to Find GCF of 5807/871, 1445/7735?

GCF of 5807/871, 1445/7735

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 5807/871, 1445/7735 i.e 1/518245 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5807/871, 1445/7735.

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 5807/871,1445/7735?

Given fractions are 5807/871,1445/7735

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 5807/871,1445/7735, numerators are 5807,1445

Denominators are 871,7735

The GCF of 5807,1445 is 1 .

LCM of 871,7735 is 518245.

The greatest common factor of 5807/871,1445/7735 = [GCF of 5807,1445]/[LCM of 871,7735]= 1/518245

Therefore, the GCF of 5807/871,1445/7735 is 1/518245.

Greatest Common Factor of 5807,1445

To find the highest common factor of 5807,1445, we have to find the factors of both numbers and list the highest common factor.

The factors of 5807 are 1, 5807

The factors of 1445 are 1, 5, 17, 85, 289, 1445

The HCF of 5807,1445 is 1.

Lets's calculate GCF of 5807,1445

Greatest Common Factor (GCF) of 5807,1445 By Common Division

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

Greatest Common Factor of 5807,1445 By Matching Biggest Common Factor Method

Now, list down the factors of 5807

1,5807

Now, list down the factors of 1445

1,5,17,85,289,1445

Greatest Common Factor

We found the factors 5807,1445 . The biggest common factor number is the GCF number.
So the greatest common factor 5807,1445 is 1.

Lets's calculate LCM of 871,7735

Lowest Common Multiple of 871,7735 using Common Division

13	871, 7735
	67, 595

∴ So the LCM of the given numbers is 13 x 67 x 595 = 518245

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/518245

Therefore, the GCF of Fractions 5807/871,1445/7735 is 1/518245

Least Common Multiple of 871,7735 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 871,7735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(871,7735) = 13

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

GCF(871,7735) x common factors =13 x 1 = 13

LCM(871,7735) = ( 871 × 7735 ) / 13

LCM(871,7735) = 6737185 / 13

LCM(871,7735) = 518245

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FAQs on GCF of Fractions of 5807/871, 1445/7735

1. What is the HCF of 5807,1445?

The HCF of 5807,1445 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 5807/871, 1445/7735?

Answer: GCF of Numerators as per given numbers 5807/871, 1445/7735 is

GCF of Numerators i.e. for 5807,1445 is 1

LCM of denominators i.e. for 871,7735 is 518245.

Thus, GCF of Fractions is 1/518245.Finally, GCF of Fractions for 5807/871, 1445/7735 is 1/518245.