GCF of 9716/484, 1968/1178
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9716/484, 1968/1178 i.e 4/285076 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9716/484, 1968/1178.
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 9716/484,1968/1178?
Given fractions are 9716/484,1968/1178
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 9716/484,1968/1178, numerators are 9716,1968
Denominators are 484,1178
The GCF of 9716,1968 is 4 .
LCM of 484,1178 is 285076.
The greatest common factor of 9716/484,1968/1178 = [GCF of 9716,1968]/[LCM of 484,1178]= 4/285076
Therefore, the GCF of 9716/484,1968/1178 is 4/285076.
To find the highest common factor of 9716,1968, we have to find the factors of both numbers and list the highest common factor.
The factors of 9716 are 1, 2, 4, 7, 14, 28, 347, 694, 1388, 2429, 4858, 9716
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 9716,1968 is 4.
Lets's calculate GCF of 9716,1968
| 2 | 9716, 1968 |
| 2 | 4858, 984 |
| 2429, 492 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9716,1968 By Matching Biggest Common Factor Method
Now, list down the factors of 9716
:1,2,4,7,14,28,347,694,1388,2429,4858,9716
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 9716,1968 . The biggest common factor number is the GCF number.
So the greatest common factor 9716,1968 is 4.
Lets's calculate LCM of 484,1178
| 2 | 484, 1178 |
| 242, 589 |
∴ So the LCM of the given numbers is 2 x 242 x 589 = 285076
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/285076
Therefore, the GCF of Fractions 9716/484,1968/1178 is 4/285076
Least Common Multiple of 484,1178 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 484,1178 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(484,1178) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(484,1178) x common factors =2 x 1 = 2
LCM(484,1178) = ( 484 × 1178 ) / 2
LCM(484,1178) = 570152 / 2
LCM(484,1178) = 285076
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FAQs on GCF of Fractions of 9716/484, 1968/1178
1. What is the HCF of 9716,1968?
The HCF of 9716,1968 is 4
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 9716/484, 1968/1178?
Answer: GCF of Numerators as per given numbers 9716/484, 1968/1178 is
GCF of Numerators i.e. for 9716,1968 is 4
LCM of denominators i.e. for 484,1178 is 285076.
Thus, GCF of Fractions is 4/285076.Finally, GCF of Fractions for 9716/484, 1968/1178 is 4/285076.