GCF of 9776/444, 8283/228
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9776/444, 8283/228 i.e 1/8436 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9776/444, 8283/228.
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 9776/444,8283/228?
Given fractions are 9776/444,8283/228
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 9776/444,8283/228, numerators are 9776,8283
Denominators are 444,228
The GCF of 9776,8283 is 1 .
LCM of 444,228 is 8436.
The greatest common factor of 9776/444,8283/228 = [GCF of 9776,8283]/[LCM of 444,228]= 1/8436
Therefore, the GCF of 9776/444,8283/228 is 1/8436.
To find the highest common factor of 9776,8283, we have to find the factors of both numbers and list the highest common factor.
The factors of 9776 are 1, 2, 4, 8, 13, 16, 26, 47, 52, 94, 104, 188, 208, 376, 611, 752, 1222, 2444, 4888, 9776
The factors of 8283 are 1, 3, 11, 33, 251, 753, 2761, 8283
The HCF of 9776,8283 is 1.
Lets's calculate GCF of 9776,8283
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9776,8283 By Matching Biggest Common Factor Method
Now, list down the factors of 9776
:1,2,4,8,13,16,26,47,52,94,104,188,208,376,611,752,1222,2444,4888,9776
Now, list down the factors of 8283
:1,3,11,33,251,753,2761,8283
Greatest Common Factor
We found the factors 9776,8283 . The biggest common factor number is the GCF number.
So the greatest common factor 9776,8283 is 1.
Lets's calculate LCM of 444,228
| 2 | 444, 228 |
| 2 | 222, 114 |
| 3 | 111, 57 |
| 37, 19 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 37 x 19 = 8436
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8436
Therefore, the GCF of Fractions 9776/444,8283/228 is 1/8436
Least Common Multiple of 444,228 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 444,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(444,228) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(444,228) x common factors =12 x 1 = 12
LCM(444,228) = ( 444 × 228 ) / 12
LCM(444,228) = 101232 / 12
LCM(444,228) = 8436
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FAQs on GCF of Fractions of 9776/444, 8283/228
1. What is the HCF of 9776,8283?
The HCF of 9776,8283 is 1
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 9776/444, 8283/228?
Answer: GCF of Numerators as per given numbers 9776/444, 8283/228 is
GCF of Numerators i.e. for 9776,8283 is 1
LCM of denominators i.e. for 444,228 is 8436.
Thus, GCF of Fractions is 1/8436.Finally, GCF of Fractions for 9776/444, 8283/228 is 1/8436.