GCF of 4899/718, 9407/660
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4899/718, 9407/660 i.e 23/236940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4899/718, 9407/660.
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 4899/718,9407/660?
Given fractions are 4899/718,9407/660
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 4899/718,9407/660, numerators are 4899,9407
Denominators are 718,660
The GCF of 4899,9407 is 23 .
LCM of 718,660 is 236940.
The greatest common factor of 4899/718,9407/660 = [GCF of 4899,9407]/[LCM of 718,660]= 23/236940
Therefore, the GCF of 4899/718,9407/660 is 23/236940.
To find the highest common factor of 4899,9407, we have to find the factors of both numbers and list the highest common factor.
The factors of 4899 are 1, 3, 23, 69, 71, 213, 1633, 4899
The factors of 9407 are 1, 23, 409, 9407
The HCF of 4899,9407 is 23.
Lets's calculate GCF of 4899,9407
| 23 | 4899, 9407 |
| 213, 409 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 4899,9407 By Matching Biggest Common Factor Method
Now, list down the factors of 4899
:1,3,23,69,71,213,1633,4899
Now, list down the factors of 9407
:1,23,409,9407
Greatest Common Factor
We found the factors 4899,9407 . The biggest common factor number is the GCF number.
So the greatest common factor 4899,9407 is 23.
Lets's calculate LCM of 718,660
| 2 | 718, 660 |
| 359, 330 |
∴ So the LCM of the given numbers is 2 x 359 x 330 = 236940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/236940
Therefore, the GCF of Fractions 4899/718,9407/660 is 23/236940
Least Common Multiple of 718,660 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 718,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(718,660) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(718,660) x common factors =2 x 1 = 2
LCM(718,660) = ( 718 × 660 ) / 2
LCM(718,660) = 473880 / 2
LCM(718,660) = 236940
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FAQs on GCF of Fractions of 4899/718, 9407/660
1. What is the HCF of 4899,9407?
The HCF of 4899,9407 is 23
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 4899/718, 9407/660?
Answer: GCF of Numerators as per given numbers 4899/718, 9407/660 is
GCF of Numerators i.e. for 4899,9407 is 23
LCM of denominators i.e. for 718,660 is 236940.
Thus, GCF of Fractions is 23/236940.Finally, GCF of Fractions for 4899/718, 9407/660 is 23/236940.