How to Find GCF of 6381/808, 5392/7235?

GCF of 6381/808, 5392/7235

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 6381/808, 5392/7235 i.e 1/5845880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6381/808, 5392/7235.

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 6381/808,5392/7235?

Given fractions are 6381/808,5392/7235

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 6381/808,5392/7235, numerators are 6381,5392

Denominators are 808,7235

The GCF of 6381,5392 is 1 .

LCM of 808,7235 is 5845880.

The greatest common factor of 6381/808,5392/7235 = [GCF of 6381,5392]/[LCM of 808,7235]= 1/5845880

Therefore, the GCF of 6381/808,5392/7235 is 1/5845880.

Greatest Common Factor of 6381,5392

To find the highest common factor of 6381,5392, we have to find the factors of both numbers and list the highest common factor.

The factors of 6381 are 1, 3, 9, 709, 2127, 6381

The factors of 5392 are 1, 2, 4, 8, 16, 337, 674, 1348, 2696, 5392

The HCF of 6381,5392 is 1.

Lets's calculate GCF of 6381,5392

Greatest Common Factor (GCF) of 6381,5392 By Common Division

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

Greatest Common Factor of 6381,5392 By Matching Biggest Common Factor Method

Now, list down the factors of 6381

1,3,9,709,2127,6381

Now, list down the factors of 5392

1,2,4,8,16,337,674,1348,2696,5392

Greatest Common Factor

We found the factors 6381,5392 . The biggest common factor number is the GCF number.
So the greatest common factor 6381,5392 is 1.

Lets's calculate LCM of 808,7235

Lowest Common Multiple of 808,7235 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5845880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5845880

Therefore, the GCF of Fractions 6381/808,5392/7235 is 1/5845880

Least Common Multiple of 808,7235 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 808,7235 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(808,7235) = 1

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

GCF(808,7235) x common factors =1 x 1 = 1

LCM(808,7235) = ( 808 × 7235 ) / 1

LCM(808,7235) = 5845880 / 1

LCM(808,7235) = 5845880

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6381/808, 5392/7235

1. What is the HCF of 6381,5392?

The HCF of 6381,5392 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 6381/808, 5392/7235?

Answer: GCF of Numerators as per given numbers 6381/808, 5392/7235 is

GCF of Numerators i.e. for 6381,5392 is 1

LCM of denominators i.e. for 808,7235 is 5845880.

Thus, GCF of Fractions is 1/5845880.Finally, GCF of Fractions for 6381/808, 5392/7235 is 1/5845880.