GCF of 1884/884, 4974/5920
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1884/884, 4974/5920 i.e 6/1308320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1884/884, 4974/5920.
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 1884/884,4974/5920?
Given fractions are 1884/884,4974/5920
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 1884/884,4974/5920, numerators are 1884,4974
Denominators are 884,5920
The GCF of 1884,4974 is 6 .
LCM of 884,5920 is 1308320.
The greatest common factor of 1884/884,4974/5920 = [GCF of 1884,4974]/[LCM of 884,5920]= 6/1308320
Therefore, the GCF of 1884/884,4974/5920 is 6/1308320.
To find the highest common factor of 1884,4974, we have to find the factors of both numbers and list the highest common factor.
The factors of 1884 are 1, 2, 3, 4, 6, 12, 157, 314, 471, 628, 942, 1884
The factors of 4974 are 1, 2, 3, 6, 829, 1658, 2487, 4974
The HCF of 1884,4974 is 6.
Lets's calculate GCF of 1884,4974
| 2 | 1884, 4974 |
| 3 | 942, 2487 |
| 314, 829 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 1884,4974 By Matching Biggest Common Factor Method
Now, list down the factors of 1884
:1,2,3,4,6,12,157,314,471,628,942,1884
Now, list down the factors of 4974
:1,2,3,6,829,1658,2487,4974
Greatest Common Factor
We found the factors 1884,4974 . The biggest common factor number is the GCF number.
So the greatest common factor 1884,4974 is 6.
Lets's calculate LCM of 884,5920
| 2 | 884, 5920 |
| 2 | 442, 2960 |
| 221, 1480 |
∴ So the LCM of the given numbers is 2 x 2 x 221 x 1480 = 1308320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1308320
Therefore, the GCF of Fractions 1884/884,4974/5920 is 6/1308320
Least Common Multiple of 884,5920 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 884,5920 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(884,5920) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(884,5920) x common factors =4 x 1 = 4
LCM(884,5920) = ( 884 × 5920 ) / 4
LCM(884,5920) = 5233280 / 4
LCM(884,5920) = 1308320
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FAQs on GCF of Fractions of 1884/884, 4974/5920
1. What is the HCF of 1884,4974?
The HCF of 1884,4974 is 6
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 1884/884, 4974/5920?
Answer: GCF of Numerators as per given numbers 1884/884, 4974/5920 is
GCF of Numerators i.e. for 1884,4974 is 6
LCM of denominators i.e. for 884,5920 is 1308320.
Thus, GCF of Fractions is 6/1308320.Finally, GCF of Fractions for 1884/884, 4974/5920 is 6/1308320.