GCF of 1095/484, 9801/4382
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1095/484, 9801/4382 i.e 3/1060444 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1095/484, 9801/4382.
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 1095/484,9801/4382?
Given fractions are 1095/484,9801/4382
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 1095/484,9801/4382, numerators are 1095,9801
Denominators are 484,4382
The GCF of 1095,9801 is 3 .
LCM of 484,4382 is 1060444.
The greatest common factor of 1095/484,9801/4382 = [GCF of 1095,9801]/[LCM of 484,4382]= 3/1060444
Therefore, the GCF of 1095/484,9801/4382 is 3/1060444.
To find the highest common factor of 1095,9801, we have to find the factors of both numbers and list the highest common factor.
The factors of 1095 are 1, 3, 5, 15, 73, 219, 365, 1095
The factors of 9801 are 1, 3, 9, 11, 27, 33, 81, 99, 121, 297, 363, 891, 1089, 3267, 9801
The HCF of 1095,9801 is 3.
Lets's calculate GCF of 1095,9801
| 3 | 1095, 9801 |
| 365, 3267 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1095,9801 By Matching Biggest Common Factor Method
Now, list down the factors of 1095
:1,3,5,15,73,219,365,1095
Now, list down the factors of 9801
:1,3,9,11,27,33,81,99,121,297,363,891,1089,3267,9801
Greatest Common Factor
We found the factors 1095,9801 . The biggest common factor number is the GCF number.
So the greatest common factor 1095,9801 is 3.
Lets's calculate LCM of 484,4382
| 2 | 484, 4382 |
| 242, 2191 |
∴ So the LCM of the given numbers is 2 x 242 x 2191 = 1060444
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1060444
Therefore, the GCF of Fractions 1095/484,9801/4382 is 3/1060444
Least Common Multiple of 484,4382 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 484,4382 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(484,4382) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(484,4382) x common factors =2 x 1 = 2
LCM(484,4382) = ( 484 × 4382 ) / 2
LCM(484,4382) = 2120888 / 2
LCM(484,4382) = 1060444
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FAQs on GCF of Fractions of 1095/484, 9801/4382
1. What is the HCF of 1095,9801?
The HCF of 1095,9801 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 1095/484, 9801/4382?
Answer: GCF of Numerators as per given numbers 1095/484, 9801/4382 is
GCF of Numerators i.e. for 1095,9801 is 3
LCM of denominators i.e. for 484,4382 is 1060444.
Thus, GCF of Fractions is 3/1060444.Finally, GCF of Fractions for 1095/484, 9801/4382 is 3/1060444.