GCF of 9758/798, 9968/2832
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9758/798, 9968/2832 i.e 14/376656 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9758/798, 9968/2832.
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 9758/798,9968/2832?
Given fractions are 9758/798,9968/2832
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 9758/798,9968/2832, numerators are 9758,9968
Denominators are 798,2832
The GCF of 9758,9968 is 14 .
LCM of 798,2832 is 376656.
The greatest common factor of 9758/798,9968/2832 = [GCF of 9758,9968]/[LCM of 798,2832]= 14/376656
Therefore, the GCF of 9758/798,9968/2832 is 14/376656.
To find the highest common factor of 9758,9968, we have to find the factors of both numbers and list the highest common factor.
The factors of 9758 are 1, 2, 7, 14, 17, 34, 41, 82, 119, 238, 287, 574, 697, 1394, 4879, 9758
The factors of 9968 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 89, 112, 178, 356, 623, 712, 1246, 1424, 2492, 4984, 9968
The HCF of 9758,9968 is 14.
Lets's calculate GCF of 9758,9968
| 2 | 9758, 9968 |
| 7 | 4879, 4984 |
| 697, 712 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 9758,9968 By Matching Biggest Common Factor Method
Now, list down the factors of 9758
:1,2,7,14,17,34,41,82,119,238,287,574,697,1394,4879,9758
Now, list down the factors of 9968
:1,2,4,7,8,14,16,28,56,89,112,178,356,623,712,1246,1424,2492,4984,9968
Greatest Common Factor
We found the factors 9758,9968 . The biggest common factor number is the GCF number.
So the greatest common factor 9758,9968 is 14.
Lets's calculate LCM of 798,2832
| 2 | 798, 2832 |
| 3 | 399, 1416 |
| 133, 472 |
∴ So the LCM of the given numbers is 2 x 3 x 133 x 472 = 376656
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/376656
Therefore, the GCF of Fractions 9758/798,9968/2832 is 14/376656
Least Common Multiple of 798,2832 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 798,2832 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(798,2832) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(798,2832) x common factors =6 x 1 = 6
LCM(798,2832) = ( 798 × 2832 ) / 6
LCM(798,2832) = 2259936 / 6
LCM(798,2832) = 376656
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FAQs on GCF of Fractions of 9758/798, 9968/2832
1. What is the HCF of 9758,9968?
The HCF of 9758,9968 is 14
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 9758/798, 9968/2832?
Answer: GCF of Numerators as per given numbers 9758/798, 9968/2832 is
GCF of Numerators i.e. for 9758,9968 is 14
LCM of denominators i.e. for 798,2832 is 376656.
Thus, GCF of Fractions is 14/376656.Finally, GCF of Fractions for 9758/798, 9968/2832 is 14/376656.