How to Find GCF of 8121/608, 5503/2425?

GCF of 8121/608, 5503/2425

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 8121/608, 5503/2425 i.e 1/1474400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8121/608, 5503/2425.

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 8121/608,5503/2425?

Given fractions are 8121/608,5503/2425

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 8121/608,5503/2425, numerators are 8121,5503

Denominators are 608,2425

The GCF of 8121,5503 is 1 .

LCM of 608,2425 is 1474400.

The greatest common factor of 8121/608,5503/2425 = [GCF of 8121,5503]/[LCM of 608,2425]= 1/1474400

Therefore, the GCF of 8121/608,5503/2425 is 1/1474400.

Greatest Common Factor of 8121,5503

To find the highest common factor of 8121,5503, we have to find the factors of both numbers and list the highest common factor.

The factors of 8121 are 1, 3, 2707, 8121

The factors of 5503 are 1, 5503

The HCF of 8121,5503 is 1.

Lets's calculate GCF of 8121,5503

Greatest Common Factor (GCF) of 8121,5503 By Common Division

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

Greatest Common Factor of 8121,5503 By Matching Biggest Common Factor Method

Now, list down the factors of 8121

1,3,2707,8121

Now, list down the factors of 5503

1,5503

Greatest Common Factor

We found the factors 8121,5503 . The biggest common factor number is the GCF number.
So the greatest common factor 8121,5503 is 1.

Lets's calculate LCM of 608,2425

Lowest Common Multiple of 608,2425 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1474400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1474400

Therefore, the GCF of Fractions 8121/608,5503/2425 is 1/1474400

Least Common Multiple of 608,2425 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 608,2425 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(608,2425) = 1

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

GCF(608,2425) x common factors =1 x 1 = 1

LCM(608,2425) = ( 608 × 2425 ) / 1

LCM(608,2425) = 1474400 / 1

LCM(608,2425) = 1474400

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FAQs on GCF of Fractions of 8121/608, 5503/2425

1. What is the HCF of 8121,5503?

The HCF of 8121,5503 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 8121/608, 5503/2425?

Answer: GCF of Numerators as per given numbers 8121/608, 5503/2425 is

GCF of Numerators i.e. for 8121,5503 is 1

LCM of denominators i.e. for 608,2425 is 1474400.

Thus, GCF of Fractions is 1/1474400.Finally, GCF of Fractions for 8121/608, 5503/2425 is 1/1474400.