How to Find GCF of 5497/932, 5091/5502?

GCF of 5497/932, 5091/5502

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 5497/932, 5091/5502 i.e 1/2563932 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5497/932, 5091/5502.

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 5497/932,5091/5502?

Given fractions are 5497/932,5091/5502

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 5497/932,5091/5502, numerators are 5497,5091

Denominators are 932,5502

The GCF of 5497,5091 is 1 .

LCM of 932,5502 is 2563932.

The greatest common factor of 5497/932,5091/5502 = [GCF of 5497,5091]/[LCM of 932,5502]= 1/2563932

Therefore, the GCF of 5497/932,5091/5502 is 1/2563932.

Greatest Common Factor of 5497,5091

To find the highest common factor of 5497,5091, we have to find the factors of both numbers and list the highest common factor.

The factors of 5497 are 1, 23, 239, 5497

The factors of 5091 are 1, 3, 1697, 5091

The HCF of 5497,5091 is 1.

Lets's calculate GCF of 5497,5091

Greatest Common Factor (GCF) of 5497,5091 By Common Division

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

Greatest Common Factor of 5497,5091 By Matching Biggest Common Factor Method

Now, list down the factors of 5497

1,23,239,5497

Now, list down the factors of 5091

1,3,1697,5091

Greatest Common Factor

We found the factors 5497,5091 . The biggest common factor number is the GCF number.
So the greatest common factor 5497,5091 is 1.

Lets's calculate LCM of 932,5502

Lowest Common Multiple of 932,5502 using Common Division

2	932, 5502
	466, 2751

∴ So the LCM of the given numbers is 2 x 466 x 2751 = 2563932

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2563932

Therefore, the GCF of Fractions 5497/932,5091/5502 is 1/2563932

Least Common Multiple of 932,5502 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 932,5502 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(932,5502) = 2

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

GCF(932,5502) x common factors =2 x 1 = 2

LCM(932,5502) = ( 932 × 5502 ) / 2

LCM(932,5502) = 5127864 / 2

LCM(932,5502) = 2563932

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5497/932, 5091/5502

1. What is the HCF of 5497,5091?

The HCF of 5497,5091 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 5497/932, 5091/5502?

Answer: GCF of Numerators as per given numbers 5497/932, 5091/5502 is

GCF of Numerators i.e. for 5497,5091 is 1

LCM of denominators i.e. for 932,5502 is 2563932.

Thus, GCF of Fractions is 1/2563932.Finally, GCF of Fractions for 5497/932, 5091/5502 is 1/2563932.