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GCF of 449/878, 7761/1499

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 449/878, 7761/1499 i.e 1/1316122 easily. The following is the detailed procedure to determine the greatest common factor of fractions 449/878, 7761/1499.

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 449/878,7761/1499?

Given fractions are 449/878,7761/1499

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 449/878,7761/1499, numerators are 449,7761

Denominators are 878,1499

The GCF of 449,7761 is 1 .

LCM of 878,1499 is 1316122.

The greatest common factor of 449/878,7761/1499 = [GCF of 449,7761]/[LCM of 878,1499]= 1/1316122

Therefore, the GCF of 449/878,7761/1499 is 1/1316122.

Greatest Common Factor of 449,7761

To find the highest common factor of 449,7761, we have to find the factors of both numbers and list the highest common factor.

The factors of 449 are 1, 449

The factors of 7761 are 1, 3, 13, 39, 199, 597, 2587, 7761

The HCF of 449,7761 is 1.

Lets's calculate GCF of 449,7761

Greatest Common Factor (GCF) of 449,7761 By Common Division

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

Greatest Common Factor of 449,7761 By Matching Biggest Common Factor Method

Greatest Common Factor of 449,7761 By Matching Biggest Common Factor Method

Now, list down the factors of 449

:

1,449

Now, list down the factors of 7761

:

1,3,13,39,199,597,2587,7761

Greatest Common Factor

We found the factors 449,7761 . The biggest common factor number is the GCF number.
So the greatest common factor 449,7761 is 1.

Lets's calculate LCM of 878,1499

Lowest Common Multiple of 878,1499 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1316122

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1316122

Therefore, the GCF of Fractions 449/878,7761/1499 is 1/1316122

Least Common Multiple of 878,1499 with GCF Formula

Least Common Multiple of 878,1499 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 878,1499 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(878,1499) = 1

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

GCF(878,1499) x common factors =1 x 1 = 1

LCM(878,1499) = ( 878 × 1499 ) / 1

LCM(878,1499) = 1316122 / 1

LCM(878,1499) = 1316122


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FAQs on GCF of Fractions of 449/878, 7761/1499

1. What is the HCF of 449,7761?

The HCF of 449,7761 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 449/878, 7761/1499?

Answer: GCF of Numerators as per given numbers 449/878, 7761/1499 is

GCF of Numerators i.e. for 449,7761 is 1

LCM of denominators i.e. for 878,1499 is 1316122.

Thus, GCF of Fractions is 1/1316122.Finally, GCF of Fractions for 449/878, 7761/1499 is 1/1316122.