Greatest Common Factor of 61/99, 11/51, 490/501

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 61/99, 11/51, 490/501

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 61/99,11/51,490/501

Given fractions are 61/99,11/51,490/501

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 61,11,490

Greatest Common Factor of Numerators i.e. GCF of 61,11,490 is 1 .

LCM of Denominators means LCM of 99,51,501 as per the given fractions.

LCM of 99,51,501 is 281061 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 61,11,490

GCF of Fractions 61/99,11/51,490/501 is 1/281061

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

Greatest Common Factor of 61,11,490 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,11,490 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Greatest Common Factor

We found the factors 61,11,490 . The biggest common factor number is the GCF number.
So the greatest common factor 61,11,490 is 1.

Lets's calculate LCM of 99,51,501

3 99, 51, 501
33, 17, 167

∴ So the LCM of the given numbers is 3 x 33 x 17 x 167 = 281061

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/281061

Therefore, the GCF of Fractions 61/99,11/51,490/501 is 1/281061

Least Common Multiple of 99,51,501 with GCF Formula

Least Common Multiple of 99,51,501 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 99,51,501 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,51,501) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(99,51,501) x common factors =3 x 3 = 9

LCM(99,51,501) = ( 99 × 51 × 501 ) / 9

LCM(99,51,501) = 2529549 / 9

LCM(99,51,501) = 281061


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 61/99, 11/51, 490/501

1. 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.

2. What is the GCF of Fractions for 61/99, 11/51, 490/501?

Answer: GCF of Numerators as per given numbers 61/99, 11/51, 490/501 is

GCF of Numerators i.e. for 61,11,490 is 1

LCM of denominators i.e. for 99,51,501 is 281061.

Thus, GCF of Fractions is 1/281061.Finally, GCF of Fractions for 61/99, 11/51, 490/501 is 1/281061.