GCF of 5448/889, 9846/8600
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5448/889, 9846/8600 i.e 6/7645400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5448/889, 9846/8600.
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 5448/889,9846/8600?
Given fractions are 5448/889,9846/8600
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 5448/889,9846/8600, numerators are 5448,9846
Denominators are 889,8600
The GCF of 5448,9846 is 6 .
LCM of 889,8600 is 7645400.
The greatest common factor of 5448/889,9846/8600 = [GCF of 5448,9846]/[LCM of 889,8600]= 6/7645400
Therefore, the GCF of 5448/889,9846/8600 is 6/7645400.
To find the highest common factor of 5448,9846, we have to find the factors of both numbers and list the highest common factor.
The factors of 5448 are 1, 2, 3, 4, 6, 8, 12, 24, 227, 454, 681, 908, 1362, 1816, 2724, 5448
The factors of 9846 are 1, 2, 3, 6, 9, 18, 547, 1094, 1641, 3282, 4923, 9846
The HCF of 5448,9846 is 6.
Lets's calculate GCF of 5448,9846
| 2 | 5448, 9846 |
| 3 | 2724, 4923 |
| 908, 1641 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 5448,9846 By Matching Biggest Common Factor Method
Now, list down the factors of 5448
:1,2,3,4,6,8,12,24,227,454,681,908,1362,1816,2724,5448
Now, list down the factors of 9846
:1,2,3,6,9,18,547,1094,1641,3282,4923,9846
Greatest Common Factor
We found the factors 5448,9846 . The biggest common factor number is the GCF number.
So the greatest common factor 5448,9846 is 6.
Lets's calculate LCM of 889,8600
Given numbers has no common factors except 1. So, there LCM is their product i.e 7645400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/7645400
Therefore, the GCF of Fractions 5448/889,9846/8600 is 6/7645400
Least Common Multiple of 889,8600 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 889,8600 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(889,8600) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(889,8600) x common factors =1 x 1 = 1
LCM(889,8600) = ( 889 × 8600 ) / 1
LCM(889,8600) = 7645400 / 1
LCM(889,8600) = 7645400
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FAQs on GCF of Fractions of 5448/889, 9846/8600
1. What is the HCF of 5448,9846?
The HCF of 5448,9846 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 5448/889, 9846/8600?
Answer: GCF of Numerators as per given numbers 5448/889, 9846/8600 is
GCF of Numerators i.e. for 5448,9846 is 6
LCM of denominators i.e. for 889,8600 is 7645400.
Thus, GCF of Fractions is 6/7645400.Finally, GCF of Fractions for 5448/889, 9846/8600 is 6/7645400.