GCF of 9996/196, 9464/9505
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9996/196, 9464/9505 i.e 28/1862980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9996/196, 9464/9505.
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 9996/196,9464/9505?
Given fractions are 9996/196,9464/9505
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 9996/196,9464/9505, numerators are 9996,9464
Denominators are 196,9505
The GCF of 9996,9464 is 28 .
LCM of 196,9505 is 1862980.
The greatest common factor of 9996/196,9464/9505 = [GCF of 9996,9464]/[LCM of 196,9505]= 28/1862980
Therefore, the GCF of 9996/196,9464/9505 is 28/1862980.
To find the highest common factor of 9996,9464, we have to find the factors of both numbers and list the highest common factor.
The factors of 9996 are 1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 49, 51, 68, 84, 98, 102, 119, 147, 196, 204, 238, 294, 357, 476, 588, 714, 833, 1428, 1666, 2499, 3332, 4998, 9996
The factors of 9464 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 169, 182, 338, 364, 676, 728, 1183, 1352, 2366, 4732, 9464
The HCF of 9996,9464 is 28.
Lets's calculate GCF of 9996,9464
| 2 | 9996, 9464 |
| 2 | 4998, 4732 |
| 7 | 2499, 2366 |
| 357, 338 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Greatest Common Factor of 9996,9464 By Matching Biggest Common Factor Method
Now, list down the factors of 9996
:1,2,3,4,6,7,12,14,17,21,28,34,42,49,51,68,84,98,102,119,147,196,204,238,294,357,476,588,714,833,1428,1666,2499,3332,4998,9996
Now, list down the factors of 9464
:1,2,4,7,8,13,14,26,28,52,56,91,104,169,182,338,364,676,728,1183,1352,2366,4732,9464
Greatest Common Factor
We found the factors 9996,9464 . The biggest common factor number is the GCF number.
So the greatest common factor 9996,9464 is 28.
Lets's calculate LCM of 196,9505
Given numbers has no common factors except 1. So, there LCM is their product i.e 1862980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/1862980
Therefore, the GCF of Fractions 9996/196,9464/9505 is 28/1862980
Least Common Multiple of 196,9505 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 196,9505 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(196,9505) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(196,9505) x common factors =1 x 1 = 1
LCM(196,9505) = ( 196 × 9505 ) / 1
LCM(196,9505) = 1862980 / 1
LCM(196,9505) = 1862980
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FAQs on GCF of Fractions of 9996/196, 9464/9505
1. What is the HCF of 9996,9464?
The HCF of 9996,9464 is 28
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 9996/196, 9464/9505?
Answer: GCF of Numerators as per given numbers 9996/196, 9464/9505 is
GCF of Numerators i.e. for 9996,9464 is 28
LCM of denominators i.e. for 196,9505 is 1862980.
Thus, GCF of Fractions is 28/1862980.Finally, GCF of Fractions for 9996/196, 9464/9505 is 28/1862980.