How to Find GCF of 5485/978, 7221/6553?

GCF of 5485/978, 7221/6553

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 5485/978, 7221/6553 i.e 1/6408834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5485/978, 7221/6553.

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 5485/978,7221/6553?

Given fractions are 5485/978,7221/6553

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 5485/978,7221/6553, numerators are 5485,7221

Denominators are 978,6553

The GCF of 5485,7221 is 1 .

LCM of 978,6553 is 6408834.

The greatest common factor of 5485/978,7221/6553 = [GCF of 5485,7221]/[LCM of 978,6553]= 1/6408834

Therefore, the GCF of 5485/978,7221/6553 is 1/6408834.

Greatest Common Factor of 5485,7221

To find the highest common factor of 5485,7221, we have to find the factors of both numbers and list the highest common factor.

The factors of 5485 are 1, 5, 1097, 5485

The factors of 7221 are 1, 3, 29, 83, 87, 249, 2407, 7221

The HCF of 5485,7221 is 1.

Lets's calculate GCF of 5485,7221

Greatest Common Factor (GCF) of 5485,7221 By Common Division

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

Greatest Common Factor of 5485,7221 By Matching Biggest Common Factor Method

Now, list down the factors of 5485

1,5,1097,5485

Now, list down the factors of 7221

1,3,29,83,87,249,2407,7221

Greatest Common Factor

We found the factors 5485,7221 . The biggest common factor number is the GCF number.
So the greatest common factor 5485,7221 is 1.

Lets's calculate LCM of 978,6553

Lowest Common Multiple of 978,6553 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6408834

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6408834

Therefore, the GCF of Fractions 5485/978,7221/6553 is 1/6408834

Least Common Multiple of 978,6553 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 978,6553 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(978,6553) = 1

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

GCF(978,6553) x common factors =1 x 1 = 1

LCM(978,6553) = ( 978 × 6553 ) / 1

LCM(978,6553) = 6408834 / 1

LCM(978,6553) = 6408834

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5485/978, 7221/6553

1. What is the HCF of 5485,7221?

The HCF of 5485,7221 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 5485/978, 7221/6553?

Answer: GCF of Numerators as per given numbers 5485/978, 7221/6553 is

GCF of Numerators i.e. for 5485,7221 is 1

LCM of denominators i.e. for 978,6553 is 6408834.

Thus, GCF of Fractions is 1/6408834.Finally, GCF of Fractions for 5485/978, 7221/6553 is 1/6408834.