GCF of 9699/256, 1968/5732
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9699/256, 1968/5732 i.e 3/366848 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9699/256, 1968/5732.
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 9699/256,1968/5732?
Given fractions are 9699/256,1968/5732
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 9699/256,1968/5732, numerators are 9699,1968
Denominators are 256,5732
The GCF of 9699,1968 is 3 .
LCM of 256,5732 is 366848.
The greatest common factor of 9699/256,1968/5732 = [GCF of 9699,1968]/[LCM of 256,5732]= 3/366848
Therefore, the GCF of 9699/256,1968/5732 is 3/366848.
To find the highest common factor of 9699,1968, we have to find the factors of both numbers and list the highest common factor.
The factors of 9699 are 1, 3, 53, 61, 159, 183, 3233, 9699
The factors of 1968 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 41, 48, 82, 123, 164, 246, 328, 492, 656, 984, 1968
The HCF of 9699,1968 is 3.
Lets's calculate GCF of 9699,1968
| 3 | 9699, 1968 |
| 3233, 656 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9699,1968 By Matching Biggest Common Factor Method
Now, list down the factors of 9699
:1,3,53,61,159,183,3233,9699
Now, list down the factors of 1968
:1,2,3,4,6,8,12,16,24,41,48,82,123,164,246,328,492,656,984,1968
Greatest Common Factor
We found the factors 9699,1968 . The biggest common factor number is the GCF number.
So the greatest common factor 9699,1968 is 3.
Lets's calculate LCM of 256,5732
| 2 | 256, 5732 |
| 2 | 128, 2866 |
| 64, 1433 |
∴ So the LCM of the given numbers is 2 x 2 x 64 x 1433 = 366848
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/366848
Therefore, the GCF of Fractions 9699/256,1968/5732 is 3/366848
Least Common Multiple of 256,5732 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 256,5732 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(256,5732) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(256,5732) x common factors =4 x 1 = 4
LCM(256,5732) = ( 256 × 5732 ) / 4
LCM(256,5732) = 1467392 / 4
LCM(256,5732) = 366848
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FAQs on GCF of Fractions of 9699/256, 1968/5732
1. What is the HCF of 9699,1968?
The HCF of 9699,1968 is 3
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 9699/256, 1968/5732?
Answer: GCF of Numerators as per given numbers 9699/256, 1968/5732 is
GCF of Numerators i.e. for 9699,1968 is 3
LCM of denominators i.e. for 256,5732 is 366848.
Thus, GCF of Fractions is 3/366848.Finally, GCF of Fractions for 9699/256, 1968/5732 is 3/366848.