GCF of 9948/862, 9194/3144
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9948/862, 9194/3144 i.e 2/1355064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9948/862, 9194/3144.
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 9948/862,9194/3144?
Given fractions are 9948/862,9194/3144
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 9948/862,9194/3144, numerators are 9948,9194
Denominators are 862,3144
The GCF of 9948,9194 is 2 .
LCM of 862,3144 is 1355064.
The greatest common factor of 9948/862,9194/3144 = [GCF of 9948,9194]/[LCM of 862,3144]= 2/1355064
Therefore, the GCF of 9948/862,9194/3144 is 2/1355064.
To find the highest common factor of 9948,9194, 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 9194 are 1, 2, 4597, 9194
The HCF of 9948,9194 is 2.
Lets's calculate GCF of 9948,9194
| 2 | 9948, 9194 |
| 4974, 4597 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9948,9194 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 9194
:1,2,4597,9194
Greatest Common Factor
We found the factors 9948,9194 . The biggest common factor number is the GCF number.
So the greatest common factor 9948,9194 is 2.
Lets's calculate LCM of 862,3144
| 2 | 862, 3144 |
| 431, 1572 |
∴ So the LCM of the given numbers is 2 x 431 x 1572 = 1355064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1355064
Therefore, the GCF of Fractions 9948/862,9194/3144 is 2/1355064
Least Common Multiple of 862,3144 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 862,3144 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(862,3144) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(862,3144) x common factors =2 x 1 = 2
LCM(862,3144) = ( 862 × 3144 ) / 2
LCM(862,3144) = 2710128 / 2
LCM(862,3144) = 1355064
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FAQs on GCF of Fractions of 9948/862, 9194/3144
1. What is the HCF of 9948,9194?
The HCF of 9948,9194 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 9948/862, 9194/3144?
Answer: GCF of Numerators as per given numbers 9948/862, 9194/3144 is
GCF of Numerators i.e. for 9948,9194 is 2
LCM of denominators i.e. for 862,3144 is 1355064.
Thus, GCF of Fractions is 2/1355064.Finally, GCF of Fractions for 9948/862, 9194/3144 is 2/1355064.