GCF of 7365/394, 2805/3770
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7365/394, 2805/3770 i.e 15/742690 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7365/394, 2805/3770.
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 7365/394,2805/3770?
Given fractions are 7365/394,2805/3770
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 7365/394,2805/3770, numerators are 7365,2805
Denominators are 394,3770
The GCF of 7365,2805 is 15 .
LCM of 394,3770 is 742690.
The greatest common factor of 7365/394,2805/3770 = [GCF of 7365,2805]/[LCM of 394,3770]= 15/742690
Therefore, the GCF of 7365/394,2805/3770 is 15/742690.
To find the highest common factor of 7365,2805, we have to find the factors of both numbers and list the highest common factor.
The factors of 7365 are 1, 3, 5, 15, 491, 1473, 2455, 7365
The factors of 2805 are 1, 3, 5, 11, 15, 17, 33, 51, 55, 85, 165, 187, 255, 561, 935, 2805
The HCF of 7365,2805 is 15.
Lets's calculate GCF of 7365,2805
| 3 | 7365, 2805 |
| 5 | 2455, 935 |
| 491, 187 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 7365,2805 By Matching Biggest Common Factor Method
Now, list down the factors of 7365
:1,3,5,15,491,1473,2455,7365
Now, list down the factors of 2805
:1,3,5,11,15,17,33,51,55,85,165,187,255,561,935,2805
Greatest Common Factor
We found the factors 7365,2805 . The biggest common factor number is the GCF number.
So the greatest common factor 7365,2805 is 15.
Lets's calculate LCM of 394,3770
| 2 | 394, 3770 |
| 197, 1885 |
∴ So the LCM of the given numbers is 2 x 197 x 1885 = 742690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/742690
Therefore, the GCF of Fractions 7365/394,2805/3770 is 15/742690
Least Common Multiple of 394,3770 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 394,3770 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(394,3770) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(394,3770) x common factors =2 x 1 = 2
LCM(394,3770) = ( 394 × 3770 ) / 2
LCM(394,3770) = 1485380 / 2
LCM(394,3770) = 742690
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FAQs on GCF of Fractions of 7365/394, 2805/3770
1. What is the HCF of 7365,2805?
The HCF of 7365,2805 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 7365/394, 2805/3770?
Answer: GCF of Numerators as per given numbers 7365/394, 2805/3770 is
GCF of Numerators i.e. for 7365,2805 is 15
LCM of denominators i.e. for 394,3770 is 742690.
Thus, GCF of Fractions is 15/742690.Finally, GCF of Fractions for 7365/394, 2805/3770 is 15/742690.