GCF of 9948/282, 5384/2411
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9948/282, 5384/2411 i.e 4/679902 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9948/282, 5384/2411.
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 9948/282,5384/2411?
Given fractions are 9948/282,5384/2411
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 9948/282,5384/2411, numerators are 9948,5384
Denominators are 282,2411
The GCF of 9948,5384 is 4 .
LCM of 282,2411 is 679902.
The greatest common factor of 9948/282,5384/2411 = [GCF of 9948,5384]/[LCM of 282,2411]= 4/679902
Therefore, the GCF of 9948/282,5384/2411 is 4/679902.
To find the highest common factor of 9948,5384, we have to find the factors of both numbers and list the highest common factor.
The factors of 9948 are 1, 2, 3, 4, 6, 12, 829, 1658, 2487, 3316, 4974, 9948
The factors of 5384 are 1, 2, 4, 8, 673, 1346, 2692, 5384
The HCF of 9948,5384 is 4.
Lets's calculate GCF of 9948,5384
| 2 | 9948, 5384 |
| 2 | 4974, 2692 |
| 2487, 1346 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9948,5384 By Matching Biggest Common Factor Method
Now, list down the factors of 9948
:1,2,3,4,6,12,829,1658,2487,3316,4974,9948
Now, list down the factors of 5384
:1,2,4,8,673,1346,2692,5384
Greatest Common Factor
We found the factors 9948,5384 . The biggest common factor number is the GCF number.
So the greatest common factor 9948,5384 is 4.
Lets's calculate LCM of 282,2411
Given numbers has no common factors except 1. So, there LCM is their product i.e 679902
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/679902
Therefore, the GCF of Fractions 9948/282,5384/2411 is 4/679902
Least Common Multiple of 282,2411 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 282,2411 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(282,2411) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(282,2411) x common factors =1 x 1 = 1
LCM(282,2411) = ( 282 × 2411 ) / 1
LCM(282,2411) = 679902 / 1
LCM(282,2411) = 679902
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FAQs on GCF of Fractions of 9948/282, 5384/2411
1. What is the HCF of 9948,5384?
The HCF of 9948,5384 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 9948/282, 5384/2411?
Answer: GCF of Numerators as per given numbers 9948/282, 5384/2411 is
GCF of Numerators i.e. for 9948,5384 is 4
LCM of denominators i.e. for 282,2411 is 679902.
Thus, GCF of Fractions is 4/679902.Finally, GCF of Fractions for 9948/282, 5384/2411 is 4/679902.