How to Find GCF of 5449/774, 9099/9119?

GCF of 5449/774, 9099/9119

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 5449/774, 9099/9119 i.e 1/7058106 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5449/774, 9099/9119.

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 5449/774,9099/9119?

Given fractions are 5449/774,9099/9119

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 5449/774,9099/9119, numerators are 5449,9099

Denominators are 774,9119

The GCF of 5449,9099 is 1 .

LCM of 774,9119 is 7058106.

The greatest common factor of 5449/774,9099/9119 = [GCF of 5449,9099]/[LCM of 774,9119]= 1/7058106

Therefore, the GCF of 5449/774,9099/9119 is 1/7058106.

Greatest Common Factor of 5449,9099

To find the highest common factor of 5449,9099, we have to find the factors of both numbers and list the highest common factor.

The factors of 5449 are 1, 5449

The factors of 9099 are 1, 3, 9, 27, 337, 1011, 3033, 9099

The HCF of 5449,9099 is 1.

Lets's calculate GCF of 5449,9099

Greatest Common Factor (GCF) of 5449,9099 By Common Division

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

Greatest Common Factor of 5449,9099 By Matching Biggest Common Factor Method

Now, list down the factors of 5449

1,5449

Now, list down the factors of 9099

1,3,9,27,337,1011,3033,9099

Greatest Common Factor

We found the factors 5449,9099 . The biggest common factor number is the GCF number.
So the greatest common factor 5449,9099 is 1.

Lets's calculate LCM of 774,9119

Lowest Common Multiple of 774,9119 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7058106

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7058106

Therefore, the GCF of Fractions 5449/774,9099/9119 is 1/7058106

Least Common Multiple of 774,9119 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 774,9119 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(774,9119) = 1

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

GCF(774,9119) x common factors =1 x 1 = 1

LCM(774,9119) = ( 774 × 9119 ) / 1

LCM(774,9119) = 7058106 / 1

LCM(774,9119) = 7058106

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FAQs on GCF of Fractions of 5449/774, 9099/9119

1. What is the HCF of 5449,9099?

The HCF of 5449,9099 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 5449/774, 9099/9119?

Answer: GCF of Numerators as per given numbers 5449/774, 9099/9119 is

GCF of Numerators i.e. for 5449,9099 is 1

LCM of denominators i.e. for 774,9119 is 7058106.

Thus, GCF of Fractions is 1/7058106.Finally, GCF of Fractions for 5449/774, 9099/9119 is 1/7058106.