GCF of 7648/26, 9680/791
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7648/26, 9680/791 i.e 16/20566 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7648/26, 9680/791.
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 7648/26,9680/791?
Given fractions are 7648/26,9680/791
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 7648/26,9680/791, numerators are 7648,9680
Denominators are 26,791
The GCF of 7648,9680 is 16 .
LCM of 26,791 is 20566.
The greatest common factor of 7648/26,9680/791 = [GCF of 7648,9680]/[LCM of 26,791]= 16/20566
Therefore, the GCF of 7648/26,9680/791 is 16/20566.
To find the highest common factor of 7648,9680, we have to find the factors of both numbers and list the highest common factor.
The factors of 7648 are 1, 2, 4, 8, 16, 32, 239, 478, 956, 1912, 3824, 7648
The factors of 9680 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 121, 176, 220, 242, 440, 484, 605, 880, 968, 1210, 1936, 2420, 4840, 9680
The HCF of 7648,9680 is 16.
Lets's calculate GCF of 7648,9680
| 2 | 7648, 9680 |
| 2 | 3824, 4840 |
| 2 | 1912, 2420 |
| 2 | 956, 1210 |
| 478, 605 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 7648,9680 By Matching Biggest Common Factor Method
Now, list down the factors of 7648
:1,2,4,8,16,32,239,478,956,1912,3824,7648
Now, list down the factors of 9680
:1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,121,176,220,242,440,484,605,880,968,1210,1936,2420,4840,9680
Greatest Common Factor
We found the factors 7648,9680 . The biggest common factor number is the GCF number.
So the greatest common factor 7648,9680 is 16.
Lets's calculate LCM of 26,791
Given numbers has no common factors except 1. So, there LCM is their product i.e 20566
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/20566
Therefore, the GCF of Fractions 7648/26,9680/791 is 16/20566
Least Common Multiple of 26,791 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 26,791 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,791) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(26,791) x common factors =1 x 1 = 1
LCM(26,791) = ( 26 × 791 ) / 1
LCM(26,791) = 20566 / 1
LCM(26,791) = 20566
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FAQs on GCF of Fractions of 7648/26, 9680/791
1. What is the HCF of 7648,9680?
The HCF of 7648,9680 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 7648/26, 9680/791?
Answer: GCF of Numerators as per given numbers 7648/26, 9680/791 is
GCF of Numerators i.e. for 7648,9680 is 16
LCM of denominators i.e. for 26,791 is 20566.
Thus, GCF of Fractions is 16/20566.Finally, GCF of Fractions for 7648/26, 9680/791 is 16/20566.