GCF of 9646/800, 7791/9736
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9646/800, 7791/9736 i.e 371/973600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9646/800, 7791/9736.
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 9646/800,7791/9736?
Given fractions are 9646/800,7791/9736
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 9646/800,7791/9736, numerators are 9646,7791
Denominators are 800,9736
The GCF of 9646,7791 is 371 .
LCM of 800,9736 is 973600.
The greatest common factor of 9646/800,7791/9736 = [GCF of 9646,7791]/[LCM of 800,9736]= 371/973600
Therefore, the GCF of 9646/800,7791/9736 is 371/973600.
To find the highest common factor of 9646,7791, we have to find the factors of both numbers and list the highest common factor.
The factors of 9646 are 1, 2, 7, 13, 14, 26, 53, 91, 106, 182, 371, 689, 742, 1378, 4823, 9646
The factors of 7791 are 1, 3, 7, 21, 49, 53, 147, 159, 371, 1113, 2597, 7791
The HCF of 9646,7791 is 371.
Lets's calculate GCF of 9646,7791
| 7 | 9646, 7791 |
| 53 | 1378, 1113 |
| 26, 21 |
∴ So the GCF of the given numbers is 7 x 53 = 371
Greatest Common Factor of 9646,7791 By Matching Biggest Common Factor Method
Now, list down the factors of 9646
:1,2,7,13,14,26,53,91,106,182,371,689,742,1378,4823,9646
Now, list down the factors of 7791
:1,3,7,21,49,53,147,159,371,1113,2597,7791
Greatest Common Factor
We found the factors 9646,7791 . The biggest common factor number is the GCF number.
So the greatest common factor 9646,7791 is 371.
Lets's calculate LCM of 800,9736
| 2 | 800, 9736 |
| 2 | 400, 4868 |
| 2 | 200, 2434 |
| 100, 1217 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 100 x 1217 = 973600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 371/973600
Therefore, the GCF of Fractions 9646/800,7791/9736 is 371/973600
Least Common Multiple of 800,9736 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 800,9736 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(800,9736) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(800,9736) x common factors =8 x 1 = 8
LCM(800,9736) = ( 800 × 9736 ) / 8
LCM(800,9736) = 7788800 / 8
LCM(800,9736) = 973600
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FAQs on GCF of Fractions of 9646/800, 7791/9736
1. What is the HCF of 9646,7791?
The HCF of 9646,7791 is 371
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 9646/800, 7791/9736?
Answer: GCF of Numerators as per given numbers 9646/800, 7791/9736 is
GCF of Numerators i.e. for 9646,7791 is 371
LCM of denominators i.e. for 800,9736 is 973600.
Thus, GCF of Fractions is 371/973600.Finally, GCF of Fractions for 9646/800, 7791/9736 is 371/973600.