GCF of 4279/670, 7923/9148
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4279/670, 7923/9148 i.e 1/3064580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4279/670, 7923/9148.
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 4279/670,7923/9148?
Given fractions are 4279/670,7923/9148
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 4279/670,7923/9148, numerators are 4279,7923
Denominators are 670,9148
The GCF of 4279,7923 is 1 .
LCM of 670,9148 is 3064580.
The greatest common factor of 4279/670,7923/9148 = [GCF of 4279,7923]/[LCM of 670,9148]= 1/3064580
Therefore, the GCF of 4279/670,7923/9148 is 1/3064580.
To find the highest common factor of 4279,7923, we have to find the factors of both numbers and list the highest common factor.
The factors of 4279 are 1, 11, 389, 4279
The factors of 7923 are 1, 3, 19, 57, 139, 417, 2641, 7923
The HCF of 4279,7923 is 1.
Lets's calculate GCF of 4279,7923
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4279,7923 By Matching Biggest Common Factor Method
Now, list down the factors of 4279
:1,11,389,4279
Now, list down the factors of 7923
:1,3,19,57,139,417,2641,7923
Greatest Common Factor
We found the factors 4279,7923 . The biggest common factor number is the GCF number.
So the greatest common factor 4279,7923 is 1.
Lets's calculate LCM of 670,9148
| 2 | 670, 9148 |
| 335, 4574 |
∴ So the LCM of the given numbers is 2 x 335 x 4574 = 3064580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3064580
Therefore, the GCF of Fractions 4279/670,7923/9148 is 1/3064580
Least Common Multiple of 670,9148 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 670,9148 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(670,9148) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(670,9148) x common factors =2 x 1 = 2
LCM(670,9148) = ( 670 × 9148 ) / 2
LCM(670,9148) = 6129160 / 2
LCM(670,9148) = 3064580
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FAQs on GCF of Fractions of 4279/670, 7923/9148
1. What is the HCF of 4279,7923?
The HCF of 4279,7923 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 4279/670, 7923/9148?
Answer: GCF of Numerators as per given numbers 4279/670, 7923/9148 is
GCF of Numerators i.e. for 4279,7923 is 1
LCM of denominators i.e. for 670,9148 is 3064580.
Thus, GCF of Fractions is 1/3064580.Finally, GCF of Fractions for 4279/670, 7923/9148 is 1/3064580.