GCF of 9705/870, 4101/865
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9705/870, 4101/865 i.e 3/150510 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9705/870, 4101/865.
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 9705/870,4101/865?
Given fractions are 9705/870,4101/865
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 9705/870,4101/865, numerators are 9705,4101
Denominators are 870,865
The GCF of 9705,4101 is 3 .
LCM of 870,865 is 150510.
The greatest common factor of 9705/870,4101/865 = [GCF of 9705,4101]/[LCM of 870,865]= 3/150510
Therefore, the GCF of 9705/870,4101/865 is 3/150510.
To find the highest common factor of 9705,4101, we have to find the factors of both numbers and list the highest common factor.
The factors of 9705 are 1, 3, 5, 15, 647, 1941, 3235, 9705
The factors of 4101 are 1, 3, 1367, 4101
The HCF of 9705,4101 is 3.
Lets's calculate GCF of 9705,4101
| 3 | 9705, 4101 |
| 3235, 1367 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9705,4101 By Matching Biggest Common Factor Method
Now, list down the factors of 9705
:1,3,5,15,647,1941,3235,9705
Now, list down the factors of 4101
:1,3,1367,4101
Greatest Common Factor
We found the factors 9705,4101 . The biggest common factor number is the GCF number.
So the greatest common factor 9705,4101 is 3.
Lets's calculate LCM of 870,865
| 5 | 870, 865 |
| 174, 173 |
∴ So the LCM of the given numbers is 5 x 174 x 173 = 150510
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/150510
Therefore, the GCF of Fractions 9705/870,4101/865 is 3/150510
Least Common Multiple of 870,865 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 870,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(870,865) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(870,865) x common factors =5 x 1 = 5
LCM(870,865) = ( 870 × 865 ) / 5
LCM(870,865) = 752550 / 5
LCM(870,865) = 150510
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FAQs on GCF of Fractions of 9705/870, 4101/865
1. What is the HCF of 9705,4101?
The HCF of 9705,4101 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 9705/870, 4101/865?
Answer: GCF of Numerators as per given numbers 9705/870, 4101/865 is
GCF of Numerators i.e. for 9705,4101 is 3
LCM of denominators i.e. for 870,865 is 150510.
Thus, GCF of Fractions is 3/150510.Finally, GCF of Fractions for 9705/870, 4101/865 is 3/150510.