GCF of 96/469, 9771/9782
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 96/469, 9771/9782 i.e 3/68474 easily. The following is the detailed procedure to determine the greatest common factor of fractions 96/469, 9771/9782.
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 96/469,9771/9782?
Given fractions are 96/469,9771/9782
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 96/469,9771/9782, numerators are 96,9771
Denominators are 469,9782
The GCF of 96,9771 is 3 .
LCM of 469,9782 is 68474.
The greatest common factor of 96/469,9771/9782 = [GCF of 96,9771]/[LCM of 469,9782]= 3/68474
Therefore, the GCF of 96/469,9771/9782 is 3/68474.
To find the highest common factor of 96,9771, we have to find the factors of both numbers and list the highest common factor.
The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
The factors of 9771 are 1, 3, 3257, 9771
The HCF of 96,9771 is 3.
Lets's calculate GCF of 96,9771
| 3 | 96, 9771 |
| 32, 3257 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 96,9771 By Matching Biggest Common Factor Method
Now, list down the factors of 96
:1,2,3,4,6,8,12,16,24,32,48,96
Now, list down the factors of 9771
:1,3,3257,9771
Greatest Common Factor
We found the factors 96,9771 . The biggest common factor number is the GCF number.
So the greatest common factor 96,9771 is 3.
Lets's calculate LCM of 469,9782
| 67 | 469, 9782 |
| 7, 146 |
∴ So the LCM of the given numbers is 67 x 7 x 146 = 68474
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/68474
Therefore, the GCF of Fractions 96/469,9771/9782 is 3/68474
Least Common Multiple of 469,9782 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 469,9782 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(469,9782) = 67
common factors(in case of two or more numbers have common factors) = 1
GCF(469,9782) x common factors =67 x 1 = 67
LCM(469,9782) = ( 469 × 9782 ) / 67
LCM(469,9782) = 4587758 / 67
LCM(469,9782) = 68474
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FAQs on GCF of Fractions of 96/469, 9771/9782
1. What is the HCF of 96,9771?
The HCF of 96,9771 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 96/469, 9771/9782?
Answer: GCF of Numerators as per given numbers 96/469, 9771/9782 is
GCF of Numerators i.e. for 96,9771 is 3
LCM of denominators i.e. for 469,9782 is 68474.
Thus, GCF of Fractions is 3/68474.Finally, GCF of Fractions for 96/469, 9771/9782 is 3/68474.