GCF of 9622/753, 8007/866
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9622/753, 8007/866 i.e 17/652098 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9622/753, 8007/866.
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 9622/753,8007/866?
Given fractions are 9622/753,8007/866
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 9622/753,8007/866, numerators are 9622,8007
Denominators are 753,866
The GCF of 9622,8007 is 17 .
LCM of 753,866 is 652098.
The greatest common factor of 9622/753,8007/866 = [GCF of 9622,8007]/[LCM of 753,866]= 17/652098
Therefore, the GCF of 9622/753,8007/866 is 17/652098.
To find the highest common factor of 9622,8007, we have to find the factors of both numbers and list the highest common factor.
The factors of 9622 are 1, 2, 17, 34, 283, 566, 4811, 9622
The factors of 8007 are 1, 3, 17, 51, 157, 471, 2669, 8007
The HCF of 9622,8007 is 17.
Lets's calculate GCF of 9622,8007
| 17 | 9622, 8007 |
| 566, 471 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 9622,8007 By Matching Biggest Common Factor Method
Now, list down the factors of 9622
:1,2,17,34,283,566,4811,9622
Now, list down the factors of 8007
:1,3,17,51,157,471,2669,8007
Greatest Common Factor
We found the factors 9622,8007 . The biggest common factor number is the GCF number.
So the greatest common factor 9622,8007 is 17.
Lets's calculate LCM of 753,866
Given numbers has no common factors except 1. So, there LCM is their product i.e 652098
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/652098
Therefore, the GCF of Fractions 9622/753,8007/866 is 17/652098
Least Common Multiple of 753,866 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 753,866 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(753,866) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(753,866) x common factors =1 x 1 = 1
LCM(753,866) = ( 753 × 866 ) / 1
LCM(753,866) = 652098 / 1
LCM(753,866) = 652098
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FAQs on GCF of Fractions of 9622/753, 8007/866
1. What is the HCF of 9622,8007?
The HCF of 9622,8007 is 17
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 9622/753, 8007/866?
Answer: GCF of Numerators as per given numbers 9622/753, 8007/866 is
GCF of Numerators i.e. for 9622,8007 is 17
LCM of denominators i.e. for 753,866 is 652098.
Thus, GCF of Fractions is 17/652098.Finally, GCF of Fractions for 9622/753, 8007/866 is 17/652098.