GCF of 4612/833, 5520/2779
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4612/833, 5520/2779 i.e 4/330701 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4612/833, 5520/2779.
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 4612/833,5520/2779?
Given fractions are 4612/833,5520/2779
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 4612/833,5520/2779, numerators are 4612,5520
Denominators are 833,2779
The GCF of 4612,5520 is 4 .
LCM of 833,2779 is 330701.
The greatest common factor of 4612/833,5520/2779 = [GCF of 4612,5520]/[LCM of 833,2779]= 4/330701
Therefore, the GCF of 4612/833,5520/2779 is 4/330701.
To find the highest common factor of 4612,5520, we have to find the factors of both numbers and list the highest common factor.
The factors of 4612 are 1, 2, 4, 1153, 2306, 4612
The factors of 5520 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 23, 24, 30, 40, 46, 48, 60, 69, 80, 92, 115, 120, 138, 184, 230, 240, 276, 345, 368, 460, 552, 690, 920, 1104, 1380, 1840, 2760, 5520
The HCF of 4612,5520 is 4.
Lets's calculate GCF of 4612,5520
| 2 | 4612, 5520 |
| 2 | 2306, 2760 |
| 1153, 1380 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4612,5520 By Matching Biggest Common Factor Method
Now, list down the factors of 4612
:1,2,4,1153,2306,4612
Now, list down the factors of 5520
:1,2,3,4,5,6,8,10,12,15,16,20,23,24,30,40,46,48,60,69,80,92,115,120,138,184,230,240,276,345,368,460,552,690,920,1104,1380,1840,2760,5520
Greatest Common Factor
We found the factors 4612,5520 . The biggest common factor number is the GCF number.
So the greatest common factor 4612,5520 is 4.
Lets's calculate LCM of 833,2779
| 7 | 833, 2779 |
| 119, 397 |
∴ So the LCM of the given numbers is 7 x 119 x 397 = 330701
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/330701
Therefore, the GCF of Fractions 4612/833,5520/2779 is 4/330701
Least Common Multiple of 833,2779 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 833,2779 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(833,2779) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(833,2779) x common factors =7 x 1 = 7
LCM(833,2779) = ( 833 × 2779 ) / 7
LCM(833,2779) = 2314907 / 7
LCM(833,2779) = 330701
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4612/833, 5520/2779
1. What is the HCF of 4612,5520?
The HCF of 4612,5520 is 4
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 4612/833, 5520/2779?
Answer: GCF of Numerators as per given numbers 4612/833, 5520/2779 is
GCF of Numerators i.e. for 4612,5520 is 4
LCM of denominators i.e. for 833,2779 is 330701.
Thus, GCF of Fractions is 4/330701.Finally, GCF of Fractions for 4612/833, 5520/2779 is 4/330701.