GCF of 2785/594, 3605/9390
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2785/594, 3605/9390 i.e 5/929610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2785/594, 3605/9390.
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 2785/594,3605/9390?
Given fractions are 2785/594,3605/9390
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 2785/594,3605/9390, numerators are 2785,3605
Denominators are 594,9390
The GCF of 2785,3605 is 5 .
LCM of 594,9390 is 929610.
The greatest common factor of 2785/594,3605/9390 = [GCF of 2785,3605]/[LCM of 594,9390]= 5/929610
Therefore, the GCF of 2785/594,3605/9390 is 5/929610.
To find the highest common factor of 2785,3605, we have to find the factors of both numbers and list the highest common factor.
The factors of 2785 are 1, 5, 557, 2785
The factors of 3605 are 1, 5, 7, 35, 103, 515, 721, 3605
The HCF of 2785,3605 is 5.
Lets's calculate GCF of 2785,3605
| 5 | 2785, 3605 |
| 557, 721 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 2785,3605 By Matching Biggest Common Factor Method
Now, list down the factors of 2785
:1,5,557,2785
Now, list down the factors of 3605
:1,5,7,35,103,515,721,3605
Greatest Common Factor
We found the factors 2785,3605 . The biggest common factor number is the GCF number.
So the greatest common factor 2785,3605 is 5.
Lets's calculate LCM of 594,9390
| 2 | 594, 9390 |
| 3 | 297, 4695 |
| 99, 1565 |
∴ So the LCM of the given numbers is 2 x 3 x 99 x 1565 = 929610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/929610
Therefore, the GCF of Fractions 2785/594,3605/9390 is 5/929610
Least Common Multiple of 594,9390 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 594,9390 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(594,9390) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(594,9390) x common factors =6 x 1 = 6
LCM(594,9390) = ( 594 × 9390 ) / 6
LCM(594,9390) = 5577660 / 6
LCM(594,9390) = 929610
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FAQs on GCF of Fractions of 2785/594, 3605/9390
1. What is the HCF of 2785,3605?
The HCF of 2785,3605 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 2785/594, 3605/9390?
Answer: GCF of Numerators as per given numbers 2785/594, 3605/9390 is
GCF of Numerators i.e. for 2785,3605 is 5
LCM of denominators i.e. for 594,9390 is 929610.
Thus, GCF of Fractions is 5/929610.Finally, GCF of Fractions for 2785/594, 3605/9390 is 5/929610.