GCF of 3544/960, 9968/120
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3544/960, 9968/120 i.e 8/960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3544/960, 9968/120.
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 3544/960,9968/120?
Given fractions are 3544/960,9968/120
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 3544/960,9968/120, numerators are 3544,9968
Denominators are 960,120
The GCF of 3544,9968 is 8 .
LCM of 960,120 is 960.
The greatest common factor of 3544/960,9968/120 = [GCF of 3544,9968]/[LCM of 960,120]= 8/960
Therefore, the GCF of 3544/960,9968/120 is 8/960.
To find the highest common factor of 3544,9968, we have to find the factors of both numbers and list the highest common factor.
The factors of 3544 are 1, 2, 4, 8, 443, 886, 1772, 3544
The factors of 9968 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 89, 112, 178, 356, 623, 712, 1246, 1424, 2492, 4984, 9968
The HCF of 3544,9968 is 8.
Lets's calculate GCF of 3544,9968
| 2 | 3544, 9968 |
| 2 | 1772, 4984 |
| 2 | 886, 2492 |
| 443, 1246 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 3544,9968 By Matching Biggest Common Factor Method
Now, list down the factors of 3544
:1,2,4,8,443,886,1772,3544
Now, list down the factors of 9968
:1,2,4,7,8,14,16,28,56,89,112,178,356,623,712,1246,1424,2492,4984,9968
Greatest Common Factor
We found the factors 3544,9968 . The biggest common factor number is the GCF number.
So the greatest common factor 3544,9968 is 8.
Lets's calculate LCM of 960,120
| 2 | 960, 120 |
| 2 | 480, 60 |
| 2 | 240, 30 |
| 3 | 120, 15 |
| 5 | 40, 5 |
| 8, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 8 x 1 = 960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/960
Therefore, the GCF of Fractions 3544/960,9968/120 is 8/960
Least Common Multiple of 960,120 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 960,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(960,120) = 120
common factors(in case of two or more numbers have common factors) = 1
GCF(960,120) x common factors =120 x 1 = 120
LCM(960,120) = ( 960 × 120 ) / 120
LCM(960,120) = 115200 / 120
LCM(960,120) = 960
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FAQs on GCF of Fractions of 3544/960, 9968/120
1. What is the HCF of 3544,9968?
The HCF of 3544,9968 is 8
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 3544/960, 9968/120?
Answer: GCF of Numerators as per given numbers 3544/960, 9968/120 is
GCF of Numerators i.e. for 3544,9968 is 8
LCM of denominators i.e. for 960,120 is 960.
Thus, GCF of Fractions is 8/960.Finally, GCF of Fractions for 3544/960, 9968/120 is 8/960.