GCF of 6741/330, 6195/5072
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6741/330, 6195/5072 i.e 21/836880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6741/330, 6195/5072.
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 6741/330,6195/5072?
Given fractions are 6741/330,6195/5072
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 6741/330,6195/5072, numerators are 6741,6195
Denominators are 330,5072
The GCF of 6741,6195 is 21 .
LCM of 330,5072 is 836880.
The greatest common factor of 6741/330,6195/5072 = [GCF of 6741,6195]/[LCM of 330,5072]= 21/836880
Therefore, the GCF of 6741/330,6195/5072 is 21/836880.
To find the highest common factor of 6741,6195, we have to find the factors of both numbers and list the highest common factor.
The factors of 6741 are 1, 3, 7, 9, 21, 63, 107, 321, 749, 963, 2247, 6741
The factors of 6195 are 1, 3, 5, 7, 15, 21, 35, 59, 105, 177, 295, 413, 885, 1239, 2065, 6195
The HCF of 6741,6195 is 21.
Lets's calculate GCF of 6741,6195
| 3 | 6741, 6195 |
| 7 | 2247, 2065 |
| 321, 295 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Greatest Common Factor of 6741,6195 By Matching Biggest Common Factor Method
Now, list down the factors of 6741
:1,3,7,9,21,63,107,321,749,963,2247,6741
Now, list down the factors of 6195
:1,3,5,7,15,21,35,59,105,177,295,413,885,1239,2065,6195
Greatest Common Factor
We found the factors 6741,6195 . The biggest common factor number is the GCF number.
So the greatest common factor 6741,6195 is 21.
Lets's calculate LCM of 330,5072
| 2 | 330, 5072 |
| 165, 2536 |
∴ So the LCM of the given numbers is 2 x 165 x 2536 = 836880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/836880
Therefore, the GCF of Fractions 6741/330,6195/5072 is 21/836880
Least Common Multiple of 330,5072 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 330,5072 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(330,5072) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(330,5072) x common factors =2 x 1 = 2
LCM(330,5072) = ( 330 × 5072 ) / 2
LCM(330,5072) = 1673760 / 2
LCM(330,5072) = 836880
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FAQs on GCF of Fractions of 6741/330, 6195/5072
1. What is the HCF of 6741,6195?
The HCF of 6741,6195 is 21
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 6741/330, 6195/5072?
Answer: GCF of Numerators as per given numbers 6741/330, 6195/5072 is
GCF of Numerators i.e. for 6741,6195 is 21
LCM of denominators i.e. for 330,5072 is 836880.
Thus, GCF of Fractions is 21/836880.Finally, GCF of Fractions for 6741/330, 6195/5072 is 21/836880.