GCF of 8505/838, 2705/4764
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8505/838, 2705/4764 i.e 5/1996116 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8505/838, 2705/4764.
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 8505/838,2705/4764?
Given fractions are 8505/838,2705/4764
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 8505/838,2705/4764, numerators are 8505,2705
Denominators are 838,4764
The GCF of 8505,2705 is 5 .
LCM of 838,4764 is 1996116.
The greatest common factor of 8505/838,2705/4764 = [GCF of 8505,2705]/[LCM of 838,4764]= 5/1996116
Therefore, the GCF of 8505/838,2705/4764 is 5/1996116.
To find the highest common factor of 8505,2705, we have to find the factors of both numbers and list the highest common factor.
The factors of 8505 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 81, 105, 135, 189, 243, 315, 405, 567, 945, 1215, 1701, 2835, 8505
The factors of 2705 are 1, 5, 541, 2705
The HCF of 8505,2705 is 5.
Lets's calculate GCF of 8505,2705
| 5 | 8505, 2705 |
| 1701, 541 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 8505,2705 By Matching Biggest Common Factor Method
Now, list down the factors of 8505
:1,3,5,7,9,15,21,27,35,45,63,81,105,135,189,243,315,405,567,945,1215,1701,2835,8505
Now, list down the factors of 2705
:1,5,541,2705
Greatest Common Factor
We found the factors 8505,2705 . The biggest common factor number is the GCF number.
So the greatest common factor 8505,2705 is 5.
Lets's calculate LCM of 838,4764
| 2 | 838, 4764 |
| 419, 2382 |
∴ So the LCM of the given numbers is 2 x 419 x 2382 = 1996116
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1996116
Therefore, the GCF of Fractions 8505/838,2705/4764 is 5/1996116
Least Common Multiple of 838,4764 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 838,4764 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(838,4764) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(838,4764) x common factors =2 x 1 = 2
LCM(838,4764) = ( 838 × 4764 ) / 2
LCM(838,4764) = 3992232 / 2
LCM(838,4764) = 1996116
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FAQs on GCF of Fractions of 8505/838, 2705/4764
1. What is the HCF of 8505,2705?
The HCF of 8505,2705 is 5
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 8505/838, 2705/4764?
Answer: GCF of Numerators as per given numbers 8505/838, 2705/4764 is
GCF of Numerators i.e. for 8505,2705 is 5
LCM of denominators i.e. for 838,4764 is 1996116.
Thus, GCF of Fractions is 5/1996116.Finally, GCF of Fractions for 8505/838, 2705/4764 is 5/1996116.