GCF of 9884/825, 5648/6969
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9884/825, 5648/6969 i.e 1412/1916475 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9884/825, 5648/6969.
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 9884/825,5648/6969?
Given fractions are 9884/825,5648/6969
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 9884/825,5648/6969, numerators are 9884,5648
Denominators are 825,6969
The GCF of 9884,5648 is 1412 .
LCM of 825,6969 is 1916475.
The greatest common factor of 9884/825,5648/6969 = [GCF of 9884,5648]/[LCM of 825,6969]= 1412/1916475
Therefore, the GCF of 9884/825,5648/6969 is 1412/1916475.
To find the highest common factor of 9884,5648, 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 5648 are 1, 2, 4, 8, 16, 353, 706, 1412, 2824, 5648
The HCF of 9884,5648 is 1412.
Lets's calculate GCF of 9884,5648
| 2 | 9884, 5648 |
| 2 | 4942, 2824 |
| 353 | 2471, 1412 |
| 7, 4 |
∴ So the GCF of the given numbers is 2 x 2 x 353 = 1412
Greatest Common Factor of 9884,5648 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 5648
:1,2,4,8,16,353,706,1412,2824,5648
Greatest Common Factor
We found the factors 9884,5648 . The biggest common factor number is the GCF number.
So the greatest common factor 9884,5648 is 1412.
Lets's calculate LCM of 825,6969
| 3 | 825, 6969 |
| 275, 2323 |
∴ So the LCM of the given numbers is 3 x 275 x 2323 = 1916475
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1412/1916475
Therefore, the GCF of Fractions 9884/825,5648/6969 is 1412/1916475
Least Common Multiple of 825,6969 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 825,6969 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(825,6969) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(825,6969) x common factors =3 x 1 = 3
LCM(825,6969) = ( 825 × 6969 ) / 3
LCM(825,6969) = 5749425 / 3
LCM(825,6969) = 1916475
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FAQs on GCF of Fractions of 9884/825, 5648/6969
1. What is the HCF of 9884,5648?
The HCF of 9884,5648 is 1412
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 9884/825, 5648/6969?
Answer: GCF of Numerators as per given numbers 9884/825, 5648/6969 is
GCF of Numerators i.e. for 9884,5648 is 1412
LCM of denominators i.e. for 825,6969 is 1916475.
Thus, GCF of Fractions is 1412/1916475.Finally, GCF of Fractions for 9884/825, 5648/6969 is 1412/1916475.