GCF of 9680/614, 4433/328
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9680/614, 4433/328 i.e 11/100696 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9680/614, 4433/328.
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 9680/614,4433/328?
Given fractions are 9680/614,4433/328
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 9680/614,4433/328, numerators are 9680,4433
Denominators are 614,328
The GCF of 9680,4433 is 11 .
LCM of 614,328 is 100696.
The greatest common factor of 9680/614,4433/328 = [GCF of 9680,4433]/[LCM of 614,328]= 11/100696
Therefore, the GCF of 9680/614,4433/328 is 11/100696.
To find the highest common factor of 9680,4433, we have to find the factors of both numbers and list the highest common factor.
The factors of 9680 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 121, 176, 220, 242, 440, 484, 605, 880, 968, 1210, 1936, 2420, 4840, 9680
The factors of 4433 are 1, 11, 13, 31, 143, 341, 403, 4433
The HCF of 9680,4433 is 11.
Lets's calculate GCF of 9680,4433
| 11 | 9680, 4433 |
| 880, 403 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 9680,4433 By Matching Biggest Common Factor Method
Now, list down the factors of 9680
:1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,121,176,220,242,440,484,605,880,968,1210,1936,2420,4840,9680
Now, list down the factors of 4433
:1,11,13,31,143,341,403,4433
Greatest Common Factor
We found the factors 9680,4433 . The biggest common factor number is the GCF number.
So the greatest common factor 9680,4433 is 11.
Lets's calculate LCM of 614,328
| 2 | 614, 328 |
| 307, 164 |
∴ So the LCM of the given numbers is 2 x 307 x 164 = 100696
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/100696
Therefore, the GCF of Fractions 9680/614,4433/328 is 11/100696
Least Common Multiple of 614,328 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 614,328 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(614,328) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(614,328) x common factors =2 x 1 = 2
LCM(614,328) = ( 614 × 328 ) / 2
LCM(614,328) = 201392 / 2
LCM(614,328) = 100696
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FAQs on GCF of Fractions of 9680/614, 4433/328
1. What is the HCF of 9680,4433?
The HCF of 9680,4433 is 11
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 9680/614, 4433/328?
Answer: GCF of Numerators as per given numbers 9680/614, 4433/328 is
GCF of Numerators i.e. for 9680,4433 is 11
LCM of denominators i.e. for 614,328 is 100696.
Thus, GCF of Fractions is 11/100696.Finally, GCF of Fractions for 9680/614, 4433/328 is 11/100696.