GCF of 365/13, 630/3709
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 365/13, 630/3709 i.e 5/48217 easily. The following is the detailed procedure to determine the greatest common factor of fractions 365/13, 630/3709.
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 365/13,630/3709?
Given fractions are 365/13,630/3709
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 365/13,630/3709, numerators are 365,630
Denominators are 13,3709
The GCF of 365,630 is 5 .
LCM of 13,3709 is 48217.
The greatest common factor of 365/13,630/3709 = [GCF of 365,630]/[LCM of 13,3709]= 5/48217
Therefore, the GCF of 365/13,630/3709 is 5/48217.
To find the highest common factor of 365,630, we have to find the factors of both numbers and list the highest common factor.
The factors of 365 are 1, 5, 73, 365
The factors of 630 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
The HCF of 365,630 is 5.
Lets's calculate GCF of 365,630
| 5 | 365, 630 |
| 73, 126 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 365,630 By Matching Biggest Common Factor Method
Now, list down the factors of 365
:1,5,73,365
Now, list down the factors of 630
:1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630
Greatest Common Factor
We found the factors 365,630 . The biggest common factor number is the GCF number.
So the greatest common factor 365,630 is 5.
Lets's calculate LCM of 13,3709
Given numbers has no common factors except 1. So, there LCM is their product i.e 48217
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/48217
Therefore, the GCF of Fractions 365/13,630/3709 is 5/48217
Least Common Multiple of 13,3709 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 13,3709 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,3709) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,3709) x common factors =1 x 1 = 1
LCM(13,3709) = ( 13 × 3709 ) / 1
LCM(13,3709) = 48217 / 1
LCM(13,3709) = 48217
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FAQs on GCF of Fractions of 365/13, 630/3709
1. What is the HCF of 365,630?
The HCF of 365,630 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 365/13, 630/3709?
Answer: GCF of Numerators as per given numbers 365/13, 630/3709 is
GCF of Numerators i.e. for 365,630 is 5
LCM of denominators i.e. for 13,3709 is 48217.
Thus, GCF of Fractions is 5/48217.Finally, GCF of Fractions for 365/13, 630/3709 is 5/48217.