GCF of 4618/644, 3904/8710
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4618/644, 3904/8710 i.e 2/2804620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4618/644, 3904/8710.
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 4618/644,3904/8710?
Given fractions are 4618/644,3904/8710
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 4618/644,3904/8710, numerators are 4618,3904
Denominators are 644,8710
The GCF of 4618,3904 is 2 .
LCM of 644,8710 is 2804620.
The greatest common factor of 4618/644,3904/8710 = [GCF of 4618,3904]/[LCM of 644,8710]= 2/2804620
Therefore, the GCF of 4618/644,3904/8710 is 2/2804620.
To find the highest common factor of 4618,3904, we have to find the factors of both numbers and list the highest common factor.
The factors of 4618 are 1, 2, 2309, 4618
The factors of 3904 are 1, 2, 4, 8, 16, 32, 61, 64, 122, 244, 488, 976, 1952, 3904
The HCF of 4618,3904 is 2.
Lets's calculate GCF of 4618,3904
| 2 | 4618, 3904 |
| 2309, 1952 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4618,3904 By Matching Biggest Common Factor Method
Now, list down the factors of 4618
:1,2,2309,4618
Now, list down the factors of 3904
:1,2,4,8,16,32,61,64,122,244,488,976,1952,3904
Greatest Common Factor
We found the factors 4618,3904 . The biggest common factor number is the GCF number.
So the greatest common factor 4618,3904 is 2.
Lets's calculate LCM of 644,8710
| 2 | 644, 8710 |
| 322, 4355 |
∴ So the LCM of the given numbers is 2 x 322 x 4355 = 2804620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2804620
Therefore, the GCF of Fractions 4618/644,3904/8710 is 2/2804620
Least Common Multiple of 644,8710 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 644,8710 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(644,8710) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(644,8710) x common factors =2 x 1 = 2
LCM(644,8710) = ( 644 × 8710 ) / 2
LCM(644,8710) = 5609240 / 2
LCM(644,8710) = 2804620
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FAQs on GCF of Fractions of 4618/644, 3904/8710
1. What is the HCF of 4618,3904?
The HCF of 4618,3904 is 2
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 4618/644, 3904/8710?
Answer: GCF of Numerators as per given numbers 4618/644, 3904/8710 is
GCF of Numerators i.e. for 4618,3904 is 2
LCM of denominators i.e. for 644,8710 is 2804620.
Thus, GCF of Fractions is 2/2804620.Finally, GCF of Fractions for 4618/644, 3904/8710 is 2/2804620.