GCF of 4415/916, 5170/4836
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4415/916, 5170/4836 i.e 5/1107444 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4415/916, 5170/4836.
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 4415/916,5170/4836?
Given fractions are 4415/916,5170/4836
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 4415/916,5170/4836, numerators are 4415,5170
Denominators are 916,4836
The GCF of 4415,5170 is 5 .
LCM of 916,4836 is 1107444.
The greatest common factor of 4415/916,5170/4836 = [GCF of 4415,5170]/[LCM of 916,4836]= 5/1107444
Therefore, the GCF of 4415/916,5170/4836 is 5/1107444.
To find the highest common factor of 4415,5170, we have to find the factors of both numbers and list the highest common factor.
The factors of 4415 are 1, 5, 883, 4415
The factors of 5170 are 1, 2, 5, 10, 11, 22, 47, 55, 94, 110, 235, 470, 517, 1034, 2585, 5170
The HCF of 4415,5170 is 5.
Lets's calculate GCF of 4415,5170
| 5 | 4415, 5170 |
| 883, 1034 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 4415,5170 By Matching Biggest Common Factor Method
Now, list down the factors of 4415
:1,5,883,4415
Now, list down the factors of 5170
:1,2,5,10,11,22,47,55,94,110,235,470,517,1034,2585,5170
Greatest Common Factor
We found the factors 4415,5170 . The biggest common factor number is the GCF number.
So the greatest common factor 4415,5170 is 5.
Lets's calculate LCM of 916,4836
| 2 | 916, 4836 |
| 2 | 458, 2418 |
| 229, 1209 |
∴ So the LCM of the given numbers is 2 x 2 x 229 x 1209 = 1107444
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1107444
Therefore, the GCF of Fractions 4415/916,5170/4836 is 5/1107444
Least Common Multiple of 916,4836 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 916,4836 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(916,4836) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(916,4836) x common factors =4 x 1 = 4
LCM(916,4836) = ( 916 × 4836 ) / 4
LCM(916,4836) = 4429776 / 4
LCM(916,4836) = 1107444
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FAQs on GCF of Fractions of 4415/916, 5170/4836
1. What is the HCF of 4415,5170?
The HCF of 4415,5170 is 5
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 4415/916, 5170/4836?
Answer: GCF of Numerators as per given numbers 4415/916, 5170/4836 is
GCF of Numerators i.e. for 4415,5170 is 5
LCM of denominators i.e. for 916,4836 is 1107444.
Thus, GCF of Fractions is 5/1107444.Finally, GCF of Fractions for 4415/916, 5170/4836 is 5/1107444.