GCF of 2432/978, 9948/352
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2432/978, 9948/352 i.e 4/172128 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2432/978, 9948/352.
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 2432/978,9948/352?
Given fractions are 2432/978,9948/352
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 2432/978,9948/352, numerators are 2432,9948
Denominators are 978,352
The GCF of 2432,9948 is 4 .
LCM of 978,352 is 172128.
The greatest common factor of 2432/978,9948/352 = [GCF of 2432,9948]/[LCM of 978,352]= 4/172128
Therefore, the GCF of 2432/978,9948/352 is 4/172128.
To find the highest common factor of 2432,9948, we have to find the factors of both numbers and list the highest common factor.
The factors of 2432 are 1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 128, 152, 304, 608, 1216, 2432
The factors of 9948 are 1, 2, 3, 4, 6, 12, 829, 1658, 2487, 3316, 4974, 9948
The HCF of 2432,9948 is 4.
Lets's calculate GCF of 2432,9948
| 2 | 2432, 9948 |
| 2 | 1216, 4974 |
| 608, 2487 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2432,9948 By Matching Biggest Common Factor Method
Now, list down the factors of 2432
:1,2,4,8,16,19,32,38,64,76,128,152,304,608,1216,2432
Now, list down the factors of 9948
:1,2,3,4,6,12,829,1658,2487,3316,4974,9948
Greatest Common Factor
We found the factors 2432,9948 . The biggest common factor number is the GCF number.
So the greatest common factor 2432,9948 is 4.
Lets's calculate LCM of 978,352
| 2 | 978, 352 |
| 489, 176 |
∴ So the LCM of the given numbers is 2 x 489 x 176 = 172128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/172128
Therefore, the GCF of Fractions 2432/978,9948/352 is 4/172128
Least Common Multiple of 978,352 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 978,352 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(978,352) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(978,352) x common factors =2 x 1 = 2
LCM(978,352) = ( 978 × 352 ) / 2
LCM(978,352) = 344256 / 2
LCM(978,352) = 172128
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 2432/978, 9948/352
1. What is the HCF of 2432,9948?
The HCF of 2432,9948 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 2432/978, 9948/352?
Answer: GCF of Numerators as per given numbers 2432/978, 9948/352 is
GCF of Numerators i.e. for 2432,9948 is 4
LCM of denominators i.e. for 978,352 is 172128.
Thus, GCF of Fractions is 4/172128.Finally, GCF of Fractions for 2432/978, 9948/352 is 4/172128.