GCF of 3302/752, 3965/9785
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3302/752, 3965/9785 i.e 13/7358320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3302/752, 3965/9785.
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 3302/752,3965/9785?
Given fractions are 3302/752,3965/9785
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 3302/752,3965/9785, numerators are 3302,3965
Denominators are 752,9785
The GCF of 3302,3965 is 13 .
LCM of 752,9785 is 7358320.
The greatest common factor of 3302/752,3965/9785 = [GCF of 3302,3965]/[LCM of 752,9785]= 13/7358320
Therefore, the GCF of 3302/752,3965/9785 is 13/7358320.
To find the highest common factor of 3302,3965, we have to find the factors of both numbers and list the highest common factor.
The factors of 3302 are 1, 2, 13, 26, 127, 254, 1651, 3302
The factors of 3965 are 1, 5, 13, 61, 65, 305, 793, 3965
The HCF of 3302,3965 is 13.
Lets's calculate GCF of 3302,3965
| 13 | 3302, 3965 |
| 254, 305 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 3302,3965 By Matching Biggest Common Factor Method
Now, list down the factors of 3302
:1,2,13,26,127,254,1651,3302
Now, list down the factors of 3965
:1,5,13,61,65,305,793,3965
Greatest Common Factor
We found the factors 3302,3965 . The biggest common factor number is the GCF number.
So the greatest common factor 3302,3965 is 13.
Lets's calculate LCM of 752,9785
Given numbers has no common factors except 1. So, there LCM is their product i.e 7358320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/7358320
Therefore, the GCF of Fractions 3302/752,3965/9785 is 13/7358320
Least Common Multiple of 752,9785 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 752,9785 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(752,9785) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(752,9785) x common factors =1 x 1 = 1
LCM(752,9785) = ( 752 × 9785 ) / 1
LCM(752,9785) = 7358320 / 1
LCM(752,9785) = 7358320
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FAQs on GCF of Fractions of 3302/752, 3965/9785
1. What is the HCF of 3302,3965?
The HCF of 3302,3965 is 13
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 3302/752, 3965/9785?
Answer: GCF of Numerators as per given numbers 3302/752, 3965/9785 is
GCF of Numerators i.e. for 3302,3965 is 13
LCM of denominators i.e. for 752,9785 is 7358320.
Thus, GCF of Fractions is 13/7358320.Finally, GCF of Fractions for 3302/752, 3965/9785 is 13/7358320.