How to Find GCF of 482/118, 499/783?

GCF of 482/118, 499/783

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 482/118, 499/783 i.e 1/92394 easily. The following is the detailed procedure to determine the greatest common factor of fractions 482/118, 499/783.

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 482/118,499/783?

Given fractions are 482/118,499/783

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 482/118,499/783, numerators are 482,499

Denominators are 118,783

The GCF of 482,499 is 1 .

LCM of 118,783 is 92394.

The greatest common factor of 482/118,499/783 = [GCF of 482,499]/[LCM of 118,783]= 1/92394

Therefore, the GCF of 482/118,499/783 is 1/92394.

Greatest Common Factor of 482,499

To find the highest common factor of 482,499, we have to find the factors of both numbers and list the highest common factor.

The factors of 482 are 1, 2, 241, 482

The factors of 499 are 1, 499

The HCF of 482,499 is 1.

Lets's calculate GCF of 482,499

Greatest Common Factor (GCF) of 482,499 By Common Division

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

Greatest Common Factor of 482,499 By Matching Biggest Common Factor Method

Now, list down the factors of 482

1,2,241,482

Now, list down the factors of 499

1,499

Greatest Common Factor

We found the factors 482,499 . The biggest common factor number is the GCF number.
So the greatest common factor 482,499 is 1.

Lets's calculate LCM of 118,783

Lowest Common Multiple of 118,783 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 92394

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/92394

Therefore, the GCF of Fractions 482/118,499/783 is 1/92394

Least Common Multiple of 118,783 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 118,783 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(118,783) = 1

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

GCF(118,783) x common factors =1 x 1 = 1

LCM(118,783) = ( 118 × 783 ) / 1

LCM(118,783) = 92394 / 1

LCM(118,783) = 92394

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FAQs on GCF of Fractions of 482/118, 499/783

1. What is the HCF of 482,499?

The HCF of 482,499 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 482/118, 499/783?

Answer: GCF of Numerators as per given numbers 482/118, 499/783 is

GCF of Numerators i.e. for 482,499 is 1

LCM of denominators i.e. for 118,783 is 92394.

Thus, GCF of Fractions is 1/92394.Finally, GCF of Fractions for 482/118, 499/783 is 1/92394.