GCF of 8645/702, 9581/768
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8645/702, 9581/768 i.e 13/89856 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8645/702, 9581/768.
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 8645/702,9581/768?
Given fractions are 8645/702,9581/768
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 8645/702,9581/768, numerators are 8645,9581
Denominators are 702,768
The GCF of 8645,9581 is 13 .
LCM of 702,768 is 89856.
The greatest common factor of 8645/702,9581/768 = [GCF of 8645,9581]/[LCM of 702,768]= 13/89856
Therefore, the GCF of 8645/702,9581/768 is 13/89856.
To find the highest common factor of 8645,9581, we have to find the factors of both numbers and list the highest common factor.
The factors of 8645 are 1, 5, 7, 13, 19, 35, 65, 91, 95, 133, 247, 455, 665, 1235, 1729, 8645
The factors of 9581 are 1, 11, 13, 67, 143, 737, 871, 9581
The HCF of 8645,9581 is 13.
Lets's calculate GCF of 8645,9581
| 13 | 8645, 9581 |
| 665, 737 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 8645,9581 By Matching Biggest Common Factor Method
Now, list down the factors of 8645
:1,5,7,13,19,35,65,91,95,133,247,455,665,1235,1729,8645
Now, list down the factors of 9581
:1,11,13,67,143,737,871,9581
Greatest Common Factor
We found the factors 8645,9581 . The biggest common factor number is the GCF number.
So the greatest common factor 8645,9581 is 13.
Lets's calculate LCM of 702,768
| 2 | 702, 768 |
| 3 | 351, 384 |
| 117, 128 |
∴ So the LCM of the given numbers is 2 x 3 x 117 x 128 = 89856
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/89856
Therefore, the GCF of Fractions 8645/702,9581/768 is 13/89856
Least Common Multiple of 702,768 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 702,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(702,768) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(702,768) x common factors =6 x 1 = 6
LCM(702,768) = ( 702 × 768 ) / 6
LCM(702,768) = 539136 / 6
LCM(702,768) = 89856
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FAQs on GCF of Fractions of 8645/702, 9581/768
1. What is the HCF of 8645,9581?
The HCF of 8645,9581 is 13
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 8645/702, 9581/768?
Answer: GCF of Numerators as per given numbers 8645/702, 9581/768 is
GCF of Numerators i.e. for 8645,9581 is 13
LCM of denominators i.e. for 702,768 is 89856.
Thus, GCF of Fractions is 13/89856.Finally, GCF of Fractions for 8645/702, 9581/768 is 13/89856.