How to Find GCF of 7903/233, 1929/487?

GCF of 7903/233, 1929/487

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 7903/233, 1929/487 i.e 1/113471 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7903/233, 1929/487.

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 7903/233,1929/487?

Given fractions are 7903/233,1929/487

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 7903/233,1929/487, numerators are 7903,1929

Denominators are 233,487

The GCF of 7903,1929 is 1 .

LCM of 233,487 is 113471.

The greatest common factor of 7903/233,1929/487 = [GCF of 7903,1929]/[LCM of 233,487]= 1/113471

Therefore, the GCF of 7903/233,1929/487 is 1/113471.

Greatest Common Factor of 7903,1929

To find the highest common factor of 7903,1929, we have to find the factors of both numbers and list the highest common factor.

The factors of 7903 are 1, 7, 1129, 7903

The factors of 1929 are 1, 3, 643, 1929

The HCF of 7903,1929 is 1.

Lets's calculate GCF of 7903,1929

Greatest Common Factor (GCF) of 7903,1929 By Common Division

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

Greatest Common Factor of 7903,1929 By Matching Biggest Common Factor Method

Now, list down the factors of 7903

1,7,1129,7903

Now, list down the factors of 1929

1,3,643,1929

Greatest Common Factor

We found the factors 7903,1929 . The biggest common factor number is the GCF number.
So the greatest common factor 7903,1929 is 1.

Lets's calculate LCM of 233,487

Lowest Common Multiple of 233,487 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 113471

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/113471

Therefore, the GCF of Fractions 7903/233,1929/487 is 1/113471

Least Common Multiple of 233,487 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 233,487 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(233,487) = 1

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

GCF(233,487) x common factors =1 x 1 = 1

LCM(233,487) = ( 233 × 487 ) / 1

LCM(233,487) = 113471 / 1

LCM(233,487) = 113471

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FAQs on GCF of Fractions of 7903/233, 1929/487

1. What is the HCF of 7903,1929?

The HCF of 7903,1929 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 7903/233, 1929/487?

Answer: GCF of Numerators as per given numbers 7903/233, 1929/487 is

GCF of Numerators i.e. for 7903,1929 is 1

LCM of denominators i.e. for 233,487 is 113471.

Thus, GCF of Fractions is 1/113471.Finally, GCF of Fractions for 7903/233, 1929/487 is 1/113471.