GCF of 9615/865, 8816/692
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9615/865, 8816/692 i.e 1/3460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9615/865, 8816/692.
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 9615/865,8816/692?
Given fractions are 9615/865,8816/692
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 9615/865,8816/692, numerators are 9615,8816
Denominators are 865,692
The GCF of 9615,8816 is 1 .
LCM of 865,692 is 3460.
The greatest common factor of 9615/865,8816/692 = [GCF of 9615,8816]/[LCM of 865,692]= 1/3460
Therefore, the GCF of 9615/865,8816/692 is 1/3460.
To find the highest common factor of 9615,8816, we have to find the factors of both numbers and list the highest common factor.
The factors of 9615 are 1, 3, 5, 15, 641, 1923, 3205, 9615
The factors of 8816 are 1, 2, 4, 8, 16, 19, 29, 38, 58, 76, 116, 152, 232, 304, 464, 551, 1102, 2204, 4408, 8816
The HCF of 9615,8816 is 1.
Lets's calculate GCF of 9615,8816
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9615,8816 By Matching Biggest Common Factor Method
Now, list down the factors of 9615
:1,3,5,15,641,1923,3205,9615
Now, list down the factors of 8816
:1,2,4,8,16,19,29,38,58,76,116,152,232,304,464,551,1102,2204,4408,8816
Greatest Common Factor
We found the factors 9615,8816 . The biggest common factor number is the GCF number.
So the greatest common factor 9615,8816 is 1.
Lets's calculate LCM of 865,692
| 173 | 865, 692 |
| 5, 4 |
∴ So the LCM of the given numbers is 173 x 5 x 4 = 3460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3460
Therefore, the GCF of Fractions 9615/865,8816/692 is 1/3460
Least Common Multiple of 865,692 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 865,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(865,692) = 173
common factors(in case of two or more numbers have common factors) = 1
GCF(865,692) x common factors =173 x 1 = 173
LCM(865,692) = ( 865 × 692 ) / 173
LCM(865,692) = 598580 / 173
LCM(865,692) = 3460
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FAQs on GCF of Fractions of 9615/865, 8816/692
1. What is the HCF of 9615,8816?
The HCF of 9615,8816 is 1
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 9615/865, 8816/692?
Answer: GCF of Numerators as per given numbers 9615/865, 8816/692 is
GCF of Numerators i.e. for 9615,8816 is 1
LCM of denominators i.e. for 865,692 is 3460.
Thus, GCF of Fractions is 1/3460.Finally, GCF of Fractions for 9615/865, 8816/692 is 1/3460.