GCF of 7965/900, 9738/2818
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7965/900, 9738/2818 i.e 9/1268100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7965/900, 9738/2818.
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 7965/900,9738/2818?
Given fractions are 7965/900,9738/2818
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 7965/900,9738/2818, numerators are 7965,9738
Denominators are 900,2818
The GCF of 7965,9738 is 9 .
LCM of 900,2818 is 1268100.
The greatest common factor of 7965/900,9738/2818 = [GCF of 7965,9738]/[LCM of 900,2818]= 9/1268100
Therefore, the GCF of 7965/900,9738/2818 is 9/1268100.
To find the highest common factor of 7965,9738, we have to find the factors of both numbers and list the highest common factor.
The factors of 7965 are 1, 3, 5, 9, 15, 27, 45, 59, 135, 177, 295, 531, 885, 1593, 2655, 7965
The factors of 9738 are 1, 2, 3, 6, 9, 18, 541, 1082, 1623, 3246, 4869, 9738
The HCF of 7965,9738 is 9.
Lets's calculate GCF of 7965,9738
| 3 | 7965, 9738 |
| 3 | 2655, 3246 |
| 885, 1082 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 7965,9738 By Matching Biggest Common Factor Method
Now, list down the factors of 7965
:1,3,5,9,15,27,45,59,135,177,295,531,885,1593,2655,7965
Now, list down the factors of 9738
:1,2,3,6,9,18,541,1082,1623,3246,4869,9738
Greatest Common Factor
We found the factors 7965,9738 . The biggest common factor number is the GCF number.
So the greatest common factor 7965,9738 is 9.
Lets's calculate LCM of 900,2818
| 2 | 900, 2818 |
| 450, 1409 |
∴ So the LCM of the given numbers is 2 x 450 x 1409 = 1268100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/1268100
Therefore, the GCF of Fractions 7965/900,9738/2818 is 9/1268100
Least Common Multiple of 900,2818 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 900,2818 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(900,2818) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(900,2818) x common factors =2 x 1 = 2
LCM(900,2818) = ( 900 × 2818 ) / 2
LCM(900,2818) = 2536200 / 2
LCM(900,2818) = 1268100
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FAQs on GCF of Fractions of 7965/900, 9738/2818
1. What is the HCF of 7965,9738?
The HCF of 7965,9738 is 9
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 7965/900, 9738/2818?
Answer: GCF of Numerators as per given numbers 7965/900, 9738/2818 is
GCF of Numerators i.e. for 7965,9738 is 9
LCM of denominators i.e. for 900,2818 is 1268100.
Thus, GCF of Fractions is 9/1268100.Finally, GCF of Fractions for 7965/900, 9738/2818 is 9/1268100.