How to Find GCF of 5303/525, 1421/9748?

GCF of 5303/525, 1421/9748

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 5303/525, 1421/9748 i.e 1/5117700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5303/525, 1421/9748.

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 5303/525,1421/9748?

Given fractions are 5303/525,1421/9748

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 5303/525,1421/9748, numerators are 5303,1421

Denominators are 525,9748

The GCF of 5303,1421 is 1 .

LCM of 525,9748 is 5117700.

The greatest common factor of 5303/525,1421/9748 = [GCF of 5303,1421]/[LCM of 525,9748]= 1/5117700

Therefore, the GCF of 5303/525,1421/9748 is 1/5117700.

Greatest Common Factor of 5303,1421

To find the highest common factor of 5303,1421, we have to find the factors of both numbers and list the highest common factor.

The factors of 5303 are 1, 5303

The factors of 1421 are 1, 7, 29, 49, 203, 1421

The HCF of 5303,1421 is 1.

Lets's calculate GCF of 5303,1421

Greatest Common Factor (GCF) of 5303,1421 By Common Division

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

Greatest Common Factor of 5303,1421 By Matching Biggest Common Factor Method

Now, list down the factors of 5303

1,5303

Now, list down the factors of 1421

1,7,29,49,203,1421

Greatest Common Factor

We found the factors 5303,1421 . The biggest common factor number is the GCF number.
So the greatest common factor 5303,1421 is 1.

Lets's calculate LCM of 525,9748

Lowest Common Multiple of 525,9748 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5117700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5117700

Therefore, the GCF of Fractions 5303/525,1421/9748 is 1/5117700

Least Common Multiple of 525,9748 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 525,9748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(525,9748) = 1

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

GCF(525,9748) x common factors =1 x 1 = 1

LCM(525,9748) = ( 525 × 9748 ) / 1

LCM(525,9748) = 5117700 / 1

LCM(525,9748) = 5117700

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FAQs on GCF of Fractions of 5303/525, 1421/9748

1. What is the HCF of 5303,1421?

The HCF of 5303,1421 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 5303/525, 1421/9748?

Answer: GCF of Numerators as per given numbers 5303/525, 1421/9748 is

GCF of Numerators i.e. for 5303,1421 is 1

LCM of denominators i.e. for 525,9748 is 5117700.

Thus, GCF of Fractions is 1/5117700.Finally, GCF of Fractions for 5303/525, 1421/9748 is 1/5117700.