GCF of 9456/696, 5968/777
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9456/696, 5968/777 i.e 16/180264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9456/696, 5968/777.
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 9456/696,5968/777?
Given fractions are 9456/696,5968/777
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 9456/696,5968/777, numerators are 9456,5968
Denominators are 696,777
The GCF of 9456,5968 is 16 .
LCM of 696,777 is 180264.
The greatest common factor of 9456/696,5968/777 = [GCF of 9456,5968]/[LCM of 696,777]= 16/180264
Therefore, the GCF of 9456/696,5968/777 is 16/180264.
To find the highest common factor of 9456,5968, we have to find the factors of both numbers and list the highest common factor.
The factors of 9456 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 197, 394, 591, 788, 1182, 1576, 2364, 3152, 4728, 9456
The factors of 5968 are 1, 2, 4, 8, 16, 373, 746, 1492, 2984, 5968
The HCF of 9456,5968 is 16.
Lets's calculate GCF of 9456,5968
| 2 | 9456, 5968 |
| 2 | 4728, 2984 |
| 2 | 2364, 1492 |
| 2 | 1182, 746 |
| 591, 373 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 9456,5968 By Matching Biggest Common Factor Method
Now, list down the factors of 9456
:1,2,3,4,6,8,12,16,24,48,197,394,591,788,1182,1576,2364,3152,4728,9456
Now, list down the factors of 5968
:1,2,4,8,16,373,746,1492,2984,5968
Greatest Common Factor
We found the factors 9456,5968 . The biggest common factor number is the GCF number.
So the greatest common factor 9456,5968 is 16.
Lets's calculate LCM of 696,777
| 3 | 696, 777 |
| 232, 259 |
∴ So the LCM of the given numbers is 3 x 232 x 259 = 180264
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/180264
Therefore, the GCF of Fractions 9456/696,5968/777 is 16/180264
Least Common Multiple of 696,777 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 696,777 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(696,777) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(696,777) x common factors =3 x 1 = 3
LCM(696,777) = ( 696 × 777 ) / 3
LCM(696,777) = 540792 / 3
LCM(696,777) = 180264
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FAQs on GCF of Fractions of 9456/696, 5968/777
1. What is the HCF of 9456,5968?
The HCF of 9456,5968 is 16
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 9456/696, 5968/777?
Answer: GCF of Numerators as per given numbers 9456/696, 5968/777 is
GCF of Numerators i.e. for 9456,5968 is 16
LCM of denominators i.e. for 696,777 is 180264.
Thus, GCF of Fractions is 16/180264.Finally, GCF of Fractions for 9456/696, 5968/777 is 16/180264.