GCF of 9694/354, 3872/5280
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9694/354, 3872/5280 i.e 2/311520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9694/354, 3872/5280.
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 9694/354,3872/5280?
Given fractions are 9694/354,3872/5280
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 9694/354,3872/5280, numerators are 9694,3872
Denominators are 354,5280
The GCF of 9694,3872 is 2 .
LCM of 354,5280 is 311520.
The greatest common factor of 9694/354,3872/5280 = [GCF of 9694,3872]/[LCM of 354,5280]= 2/311520
Therefore, the GCF of 9694/354,3872/5280 is 2/311520.
To find the highest common factor of 9694,3872, we have to find the factors of both numbers and list the highest common factor.
The factors of 9694 are 1, 2, 37, 74, 131, 262, 4847, 9694
The factors of 3872 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 121, 176, 242, 352, 484, 968, 1936, 3872
The HCF of 9694,3872 is 2.
Lets's calculate GCF of 9694,3872
| 2 | 9694, 3872 |
| 4847, 1936 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9694,3872 By Matching Biggest Common Factor Method
Now, list down the factors of 9694
:1,2,37,74,131,262,4847,9694
Now, list down the factors of 3872
:1,2,4,8,11,16,22,32,44,88,121,176,242,352,484,968,1936,3872
Greatest Common Factor
We found the factors 9694,3872 . The biggest common factor number is the GCF number.
So the greatest common factor 9694,3872 is 2.
Lets's calculate LCM of 354,5280
| 2 | 354, 5280 |
| 3 | 177, 2640 |
| 59, 880 |
∴ So the LCM of the given numbers is 2 x 3 x 59 x 880 = 311520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/311520
Therefore, the GCF of Fractions 9694/354,3872/5280 is 2/311520
Least Common Multiple of 354,5280 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 354,5280 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(354,5280) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(354,5280) x common factors =6 x 1 = 6
LCM(354,5280) = ( 354 × 5280 ) / 6
LCM(354,5280) = 1869120 / 6
LCM(354,5280) = 311520
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FAQs on GCF of Fractions of 9694/354, 3872/5280
1. What is the HCF of 9694,3872?
The HCF of 9694,3872 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 9694/354, 3872/5280?
Answer: GCF of Numerators as per given numbers 9694/354, 3872/5280 is
GCF of Numerators i.e. for 9694,3872 is 2
LCM of denominators i.e. for 354,5280 is 311520.
Thus, GCF of Fractions is 2/311520.Finally, GCF of Fractions for 9694/354, 3872/5280 is 2/311520.