GCF of 4920/933, 8043/1622
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4920/933, 8043/1622 i.e 3/1513326 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4920/933, 8043/1622.
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 4920/933,8043/1622?
Given fractions are 4920/933,8043/1622
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 4920/933,8043/1622, numerators are 4920,8043
Denominators are 933,1622
The GCF of 4920,8043 is 3 .
LCM of 933,1622 is 1513326.
The greatest common factor of 4920/933,8043/1622 = [GCF of 4920,8043]/[LCM of 933,1622]= 3/1513326
Therefore, the GCF of 4920/933,8043/1622 is 3/1513326.
To find the highest common factor of 4920,8043, we have to find the factors of both numbers and list the highest common factor.
The factors of 4920 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 41, 60, 82, 120, 123, 164, 205, 246, 328, 410, 492, 615, 820, 984, 1230, 1640, 2460, 4920
The factors of 8043 are 1, 3, 7, 21, 383, 1149, 2681, 8043
The HCF of 4920,8043 is 3.
Lets's calculate GCF of 4920,8043
| 3 | 4920, 8043 |
| 1640, 2681 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4920,8043 By Matching Biggest Common Factor Method
Now, list down the factors of 4920
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,41,60,82,120,123,164,205,246,328,410,492,615,820,984,1230,1640,2460,4920
Now, list down the factors of 8043
:1,3,7,21,383,1149,2681,8043
Greatest Common Factor
We found the factors 4920,8043 . The biggest common factor number is the GCF number.
So the greatest common factor 4920,8043 is 3.
Lets's calculate LCM of 933,1622
Given numbers has no common factors except 1. So, there LCM is their product i.e 1513326
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1513326
Therefore, the GCF of Fractions 4920/933,8043/1622 is 3/1513326
Least Common Multiple of 933,1622 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 933,1622 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(933,1622) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(933,1622) x common factors =1 x 1 = 1
LCM(933,1622) = ( 933 × 1622 ) / 1
LCM(933,1622) = 1513326 / 1
LCM(933,1622) = 1513326
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 4920/933, 8043/1622
1. What is the HCF of 4920,8043?
The HCF of 4920,8043 is 3
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 4920/933, 8043/1622?
Answer: GCF of Numerators as per given numbers 4920/933, 8043/1622 is
GCF of Numerators i.e. for 4920,8043 is 3
LCM of denominators i.e. for 933,1622 is 1513326.
Thus, GCF of Fractions is 3/1513326.Finally, GCF of Fractions for 4920/933, 8043/1622 is 3/1513326.