GCF of 8768/717, 7776/9224
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8768/717, 7776/9224 i.e 32/6613608 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8768/717, 7776/9224.
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 8768/717,7776/9224?
Given fractions are 8768/717,7776/9224
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 8768/717,7776/9224, numerators are 8768,7776
Denominators are 717,9224
The GCF of 8768,7776 is 32 .
LCM of 717,9224 is 6613608.
The greatest common factor of 8768/717,7776/9224 = [GCF of 8768,7776]/[LCM of 717,9224]= 32/6613608
Therefore, the GCF of 8768/717,7776/9224 is 32/6613608.
To find the highest common factor of 8768,7776, we have to find the factors of both numbers and list the highest common factor.
The factors of 8768 are 1, 2, 4, 8, 16, 32, 64, 137, 274, 548, 1096, 2192, 4384, 8768
The factors of 7776 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 81, 96, 108, 144, 162, 216, 243, 288, 324, 432, 486, 648, 864, 972, 1296, 1944, 2592, 3888, 7776
The HCF of 8768,7776 is 32.
Lets's calculate GCF of 8768,7776
| 2 | 8768, 7776 |
| 2 | 4384, 3888 |
| 2 | 2192, 1944 |
| 2 | 1096, 972 |
| 2 | 548, 486 |
| 274, 243 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32
Greatest Common Factor of 8768,7776 By Matching Biggest Common Factor Method
Now, list down the factors of 8768
:1,2,4,8,16,32,64,137,274,548,1096,2192,4384,8768
Now, list down the factors of 7776
:1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,81,96,108,144,162,216,243,288,324,432,486,648,864,972,1296,1944,2592,3888,7776
Greatest Common Factor
We found the factors 8768,7776 . The biggest common factor number is the GCF number.
So the greatest common factor 8768,7776 is 32.
Lets's calculate LCM of 717,9224
Given numbers has no common factors except 1. So, there LCM is their product i.e 6613608
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/6613608
Therefore, the GCF of Fractions 8768/717,7776/9224 is 32/6613608
Least Common Multiple of 717,9224 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 717,9224 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(717,9224) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(717,9224) x common factors =1 x 1 = 1
LCM(717,9224) = ( 717 × 9224 ) / 1
LCM(717,9224) = 6613608 / 1
LCM(717,9224) = 6613608
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FAQs on GCF of Fractions of 8768/717, 7776/9224
1. What is the HCF of 8768,7776?
The HCF of 8768,7776 is 32
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 8768/717, 7776/9224?
Answer: GCF of Numerators as per given numbers 8768/717, 7776/9224 is
GCF of Numerators i.e. for 8768,7776 is 32
LCM of denominators i.e. for 717,9224 is 6613608.
Thus, GCF of Fractions is 32/6613608.Finally, GCF of Fractions for 8768/717, 7776/9224 is 32/6613608.