GCF of 5679/871, 4254/299
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5679/871, 4254/299 i.e 3/20033 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5679/871, 4254/299.
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 5679/871,4254/299?
Given fractions are 5679/871,4254/299
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 5679/871,4254/299, numerators are 5679,4254
Denominators are 871,299
The GCF of 5679,4254 is 3 .
LCM of 871,299 is 20033.
The greatest common factor of 5679/871,4254/299 = [GCF of 5679,4254]/[LCM of 871,299]= 3/20033
Therefore, the GCF of 5679/871,4254/299 is 3/20033.
To find the highest common factor of 5679,4254, we have to find the factors of both numbers and list the highest common factor.
The factors of 5679 are 1, 3, 9, 631, 1893, 5679
The factors of 4254 are 1, 2, 3, 6, 709, 1418, 2127, 4254
The HCF of 5679,4254 is 3.
Lets's calculate GCF of 5679,4254
| 3 | 5679, 4254 |
| 1893, 1418 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5679,4254 By Matching Biggest Common Factor Method
Now, list down the factors of 5679
:1,3,9,631,1893,5679
Now, list down the factors of 4254
:1,2,3,6,709,1418,2127,4254
Greatest Common Factor
We found the factors 5679,4254 . The biggest common factor number is the GCF number.
So the greatest common factor 5679,4254 is 3.
Lets's calculate LCM of 871,299
| 13 | 871, 299 |
| 67, 23 |
∴ So the LCM of the given numbers is 13 x 67 x 23 = 20033
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/20033
Therefore, the GCF of Fractions 5679/871,4254/299 is 3/20033
Least Common Multiple of 871,299 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 871,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(871,299) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(871,299) x common factors =13 x 1 = 13
LCM(871,299) = ( 871 × 299 ) / 13
LCM(871,299) = 260429 / 13
LCM(871,299) = 20033
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FAQs on GCF of Fractions of 5679/871, 4254/299
1. What is the HCF of 5679,4254?
The HCF of 5679,4254 is 3
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 5679/871, 4254/299?
Answer: GCF of Numerators as per given numbers 5679/871, 4254/299 is
GCF of Numerators i.e. for 5679,4254 is 3
LCM of denominators i.e. for 871,299 is 20033.
Thus, GCF of Fractions is 3/20033.Finally, GCF of Fractions for 5679/871, 4254/299 is 3/20033.