GCF of 9884/128, 5534/5624
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9884/128, 5534/5624 i.e 2/89984 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9884/128, 5534/5624.
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 9884/128,5534/5624?
Given fractions are 9884/128,5534/5624
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 9884/128,5534/5624, numerators are 9884,5534
Denominators are 128,5624
The GCF of 9884,5534 is 2 .
LCM of 128,5624 is 89984.
The greatest common factor of 9884/128,5534/5624 = [GCF of 9884,5534]/[LCM of 128,5624]= 2/89984
Therefore, the GCF of 9884/128,5534/5624 is 2/89984.
To find the highest common factor of 9884,5534, we have to find the factors of both numbers and list the highest common factor.
The factors of 9884 are 1, 2, 4, 7, 14, 28, 353, 706, 1412, 2471, 4942, 9884
The factors of 5534 are 1, 2, 2767, 5534
The HCF of 9884,5534 is 2.
Lets's calculate GCF of 9884,5534
| 2 | 9884, 5534 |
| 4942, 2767 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9884,5534 By Matching Biggest Common Factor Method
Now, list down the factors of 9884
:1,2,4,7,14,28,353,706,1412,2471,4942,9884
Now, list down the factors of 5534
:1,2,2767,5534
Greatest Common Factor
We found the factors 9884,5534 . The biggest common factor number is the GCF number.
So the greatest common factor 9884,5534 is 2.
Lets's calculate LCM of 128,5624
| 2 | 128, 5624 |
| 2 | 64, 2812 |
| 2 | 32, 1406 |
| 16, 703 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 16 x 703 = 89984
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/89984
Therefore, the GCF of Fractions 9884/128,5534/5624 is 2/89984
Least Common Multiple of 128,5624 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 128,5624 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(128,5624) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(128,5624) x common factors =8 x 1 = 8
LCM(128,5624) = ( 128 × 5624 ) / 8
LCM(128,5624) = 719872 / 8
LCM(128,5624) = 89984
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9884/128, 5534/5624
1. What is the HCF of 9884,5534?
The HCF of 9884,5534 is 2
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 9884/128, 5534/5624?
Answer: GCF of Numerators as per given numbers 9884/128, 5534/5624 is
GCF of Numerators i.e. for 9884,5534 is 2
LCM of denominators i.e. for 128,5624 is 89984.
Thus, GCF of Fractions is 2/89984.Finally, GCF of Fractions for 9884/128, 5534/5624 is 2/89984.