GCF of 6645/560, 8505/356
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6645/560, 8505/356 i.e 15/49840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6645/560, 8505/356.
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 6645/560,8505/356?
Given fractions are 6645/560,8505/356
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 6645/560,8505/356, numerators are 6645,8505
Denominators are 560,356
The GCF of 6645,8505 is 15 .
LCM of 560,356 is 49840.
The greatest common factor of 6645/560,8505/356 = [GCF of 6645,8505]/[LCM of 560,356]= 15/49840
Therefore, the GCF of 6645/560,8505/356 is 15/49840.
To find the highest common factor of 6645,8505, we have to find the factors of both numbers and list the highest common factor.
The factors of 6645 are 1, 3, 5, 15, 443, 1329, 2215, 6645
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 HCF of 6645,8505 is 15.
Lets's calculate GCF of 6645,8505
| 3 | 6645, 8505 |
| 5 | 2215, 2835 |
| 443, 567 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 6645,8505 By Matching Biggest Common Factor Method
Now, list down the factors of 6645
:1,3,5,15,443,1329,2215,6645
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
Greatest Common Factor
We found the factors 6645,8505 . The biggest common factor number is the GCF number.
So the greatest common factor 6645,8505 is 15.
Lets's calculate LCM of 560,356
| 2 | 560, 356 |
| 2 | 280, 178 |
| 140, 89 |
∴ So the LCM of the given numbers is 2 x 2 x 140 x 89 = 49840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/49840
Therefore, the GCF of Fractions 6645/560,8505/356 is 15/49840
Least Common Multiple of 560,356 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 560,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(560,356) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(560,356) x common factors =4 x 1 = 4
LCM(560,356) = ( 560 × 356 ) / 4
LCM(560,356) = 199360 / 4
LCM(560,356) = 49840
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FAQs on GCF of Fractions of 6645/560, 8505/356
1. What is the HCF of 6645,8505?
The HCF of 6645,8505 is 15
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 6645/560, 8505/356?
Answer: GCF of Numerators as per given numbers 6645/560, 8505/356 is
GCF of Numerators i.e. for 6645,8505 is 15
LCM of denominators i.e. for 560,356 is 49840.
Thus, GCF of Fractions is 15/49840.Finally, GCF of Fractions for 6645/560, 8505/356 is 15/49840.