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GCF of 497/154, 484/766

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 497/154, 484/766 i.e 1/58982 easily. The following is the detailed procedure to determine the greatest common factor of fractions 497/154, 484/766.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 497/154,484/766?

Given fractions are 497/154,484/766

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 497/154,484/766, numerators are 497,484

Denominators are 154,766

The GCF of 497,484 is 1 .

LCM of 154,766 is 58982.

The greatest common factor of 497/154,484/766 = [GCF of 497,484]/[LCM of 154,766]= 1/58982

Therefore, the GCF of 497/154,484/766 is 1/58982.

Greatest Common Factor of 497,484

To find the highest common factor of 497,484, we have to find the factors of both numbers and list the highest common factor.

The factors of 497 are 1, 7, 71, 497

The factors of 484 are 1, 2, 4, 11, 22, 44, 121, 242, 484

The HCF of 497,484 is 1.

Lets's calculate GCF of 497,484

Greatest Common Factor (GCF) of 497,484 By Common Division

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

Greatest Common Factor of 497,484 By Matching Biggest Common Factor Method

Greatest Common Factor of 497,484 By Matching Biggest Common Factor Method

Now, list down the factors of 497

:

1,7,71,497

Now, list down the factors of 484

:

1,2,4,11,22,44,121,242,484

Greatest Common Factor

We found the factors 497,484 . The biggest common factor number is the GCF number.
So the greatest common factor 497,484 is 1.

Lets's calculate LCM of 154,766

Lowest Common Multiple of 154,766 using Common Division

2 154, 766
77, 383

∴ So the LCM of the given numbers is 2 x 77 x 383 = 58982

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58982

Therefore, the GCF of Fractions 497/154,484/766 is 1/58982

Least Common Multiple of 154,766 with GCF Formula

Least Common Multiple of 154,766 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 154,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(154,766) = 2

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

GCF(154,766) x common factors =2 x 1 = 2

LCM(154,766) = ( 154 × 766 ) / 2

LCM(154,766) = 117964 / 2

LCM(154,766) = 58982


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FAQs on GCF of Fractions of 497/154, 484/766

1. What is the HCF of 497,484?

The HCF of 497,484 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 497/154, 484/766?

Answer: GCF of Numerators as per given numbers 497/154, 484/766 is

GCF of Numerators i.e. for 497,484 is 1

LCM of denominators i.e. for 154,766 is 58982.

Thus, GCF of Fractions is 1/58982.Finally, GCF of Fractions for 497/154, 484/766 is 1/58982.