How to Find GCF of 8341/120, 5443/503?

GCF of 8341/120, 5443/503

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 8341/120, 5443/503 i.e 1/60360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8341/120, 5443/503.

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 8341/120,5443/503?

Given fractions are 8341/120,5443/503

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 8341/120,5443/503, numerators are 8341,5443

Denominators are 120,503

The GCF of 8341,5443 is 1 .

LCM of 120,503 is 60360.

The greatest common factor of 8341/120,5443/503 = [GCF of 8341,5443]/[LCM of 120,503]= 1/60360

Therefore, the GCF of 8341/120,5443/503 is 1/60360.

Greatest Common Factor of 8341,5443

To find the highest common factor of 8341,5443, we have to find the factors of both numbers and list the highest common factor.

The factors of 8341 are 1, 19, 439, 8341

The factors of 5443 are 1, 5443

The HCF of 8341,5443 is 1.

Lets's calculate GCF of 8341,5443

Greatest Common Factor (GCF) of 8341,5443 By Common Division

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

Greatest Common Factor of 8341,5443 By Matching Biggest Common Factor Method

Now, list down the factors of 8341

1,19,439,8341

Now, list down the factors of 5443

1,5443

Greatest Common Factor

We found the factors 8341,5443 . The biggest common factor number is the GCF number.
So the greatest common factor 8341,5443 is 1.

Lets's calculate LCM of 120,503

Lowest Common Multiple of 120,503 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 60360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60360

Therefore, the GCF of Fractions 8341/120,5443/503 is 1/60360

Least Common Multiple of 120,503 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 120,503 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(120,503) = 1

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

GCF(120,503) x common factors =1 x 1 = 1

LCM(120,503) = ( 120 × 503 ) / 1

LCM(120,503) = 60360 / 1

LCM(120,503) = 60360

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FAQs on GCF of Fractions of 8341/120, 5443/503

1. What is the HCF of 8341,5443?

The HCF of 8341,5443 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 8341/120, 5443/503?

Answer: GCF of Numerators as per given numbers 8341/120, 5443/503 is

GCF of Numerators i.e. for 8341,5443 is 1

LCM of denominators i.e. for 120,503 is 60360.

Thus, GCF of Fractions is 1/60360.Finally, GCF of Fractions for 8341/120, 5443/503 is 1/60360.