GCF of 7707/922, 9075/3952
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7707/922, 9075/3952 i.e 3/1821872 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7707/922, 9075/3952.
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 7707/922,9075/3952?
Given fractions are 7707/922,9075/3952
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 7707/922,9075/3952, numerators are 7707,9075
Denominators are 922,3952
The GCF of 7707,9075 is 3 .
LCM of 922,3952 is 1821872.
The greatest common factor of 7707/922,9075/3952 = [GCF of 7707,9075]/[LCM of 922,3952]= 3/1821872
Therefore, the GCF of 7707/922,9075/3952 is 3/1821872.
To find the highest common factor of 7707,9075, we have to find the factors of both numbers and list the highest common factor.
The factors of 7707 are 1, 3, 7, 21, 367, 1101, 2569, 7707
The factors of 9075 are 1, 3, 5, 11, 15, 25, 33, 55, 75, 121, 165, 275, 363, 605, 825, 1815, 3025, 9075
The HCF of 7707,9075 is 3.
Lets's calculate GCF of 7707,9075
| 3 | 7707, 9075 |
| 2569, 3025 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7707,9075 By Matching Biggest Common Factor Method
Now, list down the factors of 7707
:1,3,7,21,367,1101,2569,7707
Now, list down the factors of 9075
:1,3,5,11,15,25,33,55,75,121,165,275,363,605,825,1815,3025,9075
Greatest Common Factor
We found the factors 7707,9075 . The biggest common factor number is the GCF number.
So the greatest common factor 7707,9075 is 3.
Lets's calculate LCM of 922,3952
| 2 | 922, 3952 |
| 461, 1976 |
∴ So the LCM of the given numbers is 2 x 461 x 1976 = 1821872
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1821872
Therefore, the GCF of Fractions 7707/922,9075/3952 is 3/1821872
Least Common Multiple of 922,3952 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 922,3952 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(922,3952) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(922,3952) x common factors =2 x 1 = 2
LCM(922,3952) = ( 922 × 3952 ) / 2
LCM(922,3952) = 3643744 / 2
LCM(922,3952) = 1821872
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FAQs on GCF of Fractions of 7707/922, 9075/3952
1. What is the HCF of 7707,9075?
The HCF of 7707,9075 is 3
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 7707/922, 9075/3952?
Answer: GCF of Numerators as per given numbers 7707/922, 9075/3952 is
GCF of Numerators i.e. for 7707,9075 is 3
LCM of denominators i.e. for 922,3952 is 1821872.
Thus, GCF of Fractions is 3/1821872.Finally, GCF of Fractions for 7707/922, 9075/3952 is 3/1821872.