GCF of 4719/718, 2904/5020
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4719/718, 2904/5020 i.e 363/1802180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4719/718, 2904/5020.
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 4719/718,2904/5020?
Given fractions are 4719/718,2904/5020
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 4719/718,2904/5020, numerators are 4719,2904
Denominators are 718,5020
The GCF of 4719,2904 is 363 .
LCM of 718,5020 is 1802180.
The greatest common factor of 4719/718,2904/5020 = [GCF of 4719,2904]/[LCM of 718,5020]= 363/1802180
Therefore, the GCF of 4719/718,2904/5020 is 363/1802180.
To find the highest common factor of 4719,2904, we have to find the factors of both numbers and list the highest common factor.
The factors of 4719 are 1, 3, 11, 13, 33, 39, 121, 143, 363, 429, 1573, 4719
The factors of 2904 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 121, 132, 242, 264, 363, 484, 726, 968, 1452, 2904
The HCF of 4719,2904 is 363.
Lets's calculate GCF of 4719,2904
| 3 | 4719, 2904 |
| 11 | 1573, 968 |
| 11 | 143, 88 |
| 13, 8 |
∴ So the GCF of the given numbers is 3 x 11 x 11 = 363
Greatest Common Factor of 4719,2904 By Matching Biggest Common Factor Method
Now, list down the factors of 4719
:1,3,11,13,33,39,121,143,363,429,1573,4719
Now, list down the factors of 2904
:1,2,3,4,6,8,11,12,22,24,33,44,66,88,121,132,242,264,363,484,726,968,1452,2904
Greatest Common Factor
We found the factors 4719,2904 . The biggest common factor number is the GCF number.
So the greatest common factor 4719,2904 is 363.
Lets's calculate LCM of 718,5020
| 2 | 718, 5020 |
| 359, 2510 |
∴ So the LCM of the given numbers is 2 x 359 x 2510 = 1802180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 363/1802180
Therefore, the GCF of Fractions 4719/718,2904/5020 is 363/1802180
Least Common Multiple of 718,5020 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 718,5020 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(718,5020) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(718,5020) x common factors =2 x 1 = 2
LCM(718,5020) = ( 718 × 5020 ) / 2
LCM(718,5020) = 3604360 / 2
LCM(718,5020) = 1802180
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FAQs on GCF of Fractions of 4719/718, 2904/5020
1. What is the HCF of 4719,2904?
The HCF of 4719,2904 is 363
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 4719/718, 2904/5020?
Answer: GCF of Numerators as per given numbers 4719/718, 2904/5020 is
GCF of Numerators i.e. for 4719,2904 is 363
LCM of denominators i.e. for 718,5020 is 1802180.
Thus, GCF of Fractions is 363/1802180.Finally, GCF of Fractions for 4719/718, 2904/5020 is 363/1802180.