How to Find GCF of 5503/524, 1267/9931?

GCF of 5503/524, 1267/9931

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 5503/524, 1267/9931 i.e 1/5203844 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5503/524, 1267/9931.

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 5503/524,1267/9931?

Given fractions are 5503/524,1267/9931

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 5503/524,1267/9931, numerators are 5503,1267

Denominators are 524,9931

The GCF of 5503,1267 is 1 .

LCM of 524,9931 is 5203844.

The greatest common factor of 5503/524,1267/9931 = [GCF of 5503,1267]/[LCM of 524,9931]= 1/5203844

Therefore, the GCF of 5503/524,1267/9931 is 1/5203844.

Greatest Common Factor of 5503,1267

To find the highest common factor of 5503,1267, we have to find the factors of both numbers and list the highest common factor.

The factors of 5503 are 1, 5503

The factors of 1267 are 1, 7, 181, 1267

The HCF of 5503,1267 is 1.

Lets's calculate GCF of 5503,1267

Greatest Common Factor (GCF) of 5503,1267 By Common Division

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

Greatest Common Factor of 5503,1267 By Matching Biggest Common Factor Method

Now, list down the factors of 5503

1,5503

Now, list down the factors of 1267

1,7,181,1267

Greatest Common Factor

We found the factors 5503,1267 . The biggest common factor number is the GCF number.
So the greatest common factor 5503,1267 is 1.

Lets's calculate LCM of 524,9931

Lowest Common Multiple of 524,9931 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5203844

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5203844

Therefore, the GCF of Fractions 5503/524,1267/9931 is 1/5203844

Least Common Multiple of 524,9931 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 524,9931 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(524,9931) = 1

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

GCF(524,9931) x common factors =1 x 1 = 1

LCM(524,9931) = ( 524 × 9931 ) / 1

LCM(524,9931) = 5203844 / 1

LCM(524,9931) = 5203844

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5503/524, 1267/9931

1. What is the HCF of 5503,1267?

The HCF of 5503,1267 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 5503/524, 1267/9931?

Answer: GCF of Numerators as per given numbers 5503/524, 1267/9931 is

GCF of Numerators i.e. for 5503,1267 is 1

LCM of denominators i.e. for 524,9931 is 5203844.

Thus, GCF of Fractions is 1/5203844.Finally, GCF of Fractions for 5503/524, 1267/9931 is 1/5203844.