How to Find GCF of 503/82, 123/666?

GCF of 503/82, 123/666

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 503/82, 123/666 i.e 1/27306 easily. The following is the detailed procedure to determine the greatest common factor of fractions 503/82, 123/666.

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 503/82,123/666?

Given fractions are 503/82,123/666

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 503/82,123/666, numerators are 503,123

Denominators are 82,666

The GCF of 503,123 is 1 .

LCM of 82,666 is 27306.

The greatest common factor of 503/82,123/666 = [GCF of 503,123]/[LCM of 82,666]= 1/27306

Therefore, the GCF of 503/82,123/666 is 1/27306.

Greatest Common Factor of 503,123

To find the highest common factor of 503,123, we have to find the factors of both numbers and list the highest common factor.

The factors of 503 are 1, 503

The factors of 123 are 1, 3, 41, 123

The HCF of 503,123 is 1.

Lets's calculate GCF of 503,123

Greatest Common Factor (GCF) of 503,123 By Common Division

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

Greatest Common Factor of 503,123 By Matching Biggest Common Factor Method

Now, list down the factors of 503

1,503

Now, list down the factors of 123

1,3,41,123

Greatest Common Factor

We found the factors 503,123 . The biggest common factor number is the GCF number.
So the greatest common factor 503,123 is 1.

Lets's calculate LCM of 82,666

Lowest Common Multiple of 82,666 using Common Division

2	82, 666
	41, 333

∴ So the LCM of the given numbers is 2 x 41 x 333 = 27306

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27306

Therefore, the GCF of Fractions 503/82,123/666 is 1/27306

Least Common Multiple of 82,666 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 82,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,666) = 2

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

GCF(82,666) x common factors =2 x 1 = 2

LCM(82,666) = ( 82 × 666 ) / 2

LCM(82,666) = 54612 / 2

LCM(82,666) = 27306

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FAQs on GCF of Fractions of 503/82, 123/666

1. What is the HCF of 503,123?

The HCF of 503,123 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 503/82, 123/666?

Answer: GCF of Numerators as per given numbers 503/82, 123/666 is

GCF of Numerators i.e. for 503,123 is 1

LCM of denominators i.e. for 82,666 is 27306.

Thus, GCF of Fractions is 1/27306.Finally, GCF of Fractions for 503/82, 123/666 is 1/27306.