GCF of 3365/786, 3905/5240
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3365/786, 3905/5240 i.e 5/15720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3365/786, 3905/5240.
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 3365/786,3905/5240?
Given fractions are 3365/786,3905/5240
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 3365/786,3905/5240, numerators are 3365,3905
Denominators are 786,5240
The GCF of 3365,3905 is 5 .
LCM of 786,5240 is 15720.
The greatest common factor of 3365/786,3905/5240 = [GCF of 3365,3905]/[LCM of 786,5240]= 5/15720
Therefore, the GCF of 3365/786,3905/5240 is 5/15720.
To find the highest common factor of 3365,3905, we have to find the factors of both numbers and list the highest common factor.
The factors of 3365 are 1, 5, 673, 3365
The factors of 3905 are 1, 5, 11, 55, 71, 355, 781, 3905
The HCF of 3365,3905 is 5.
Lets's calculate GCF of 3365,3905
| 5 | 3365, 3905 |
| 673, 781 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 3365,3905 By Matching Biggest Common Factor Method
Now, list down the factors of 3365
:1,5,673,3365
Now, list down the factors of 3905
:1,5,11,55,71,355,781,3905
Greatest Common Factor
We found the factors 3365,3905 . The biggest common factor number is the GCF number.
So the greatest common factor 3365,3905 is 5.
Lets's calculate LCM of 786,5240
| 2 | 786, 5240 |
| 131 | 393, 2620 |
| 3, 20 |
∴ So the LCM of the given numbers is 2 x 131 x 3 x 20 = 15720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/15720
Therefore, the GCF of Fractions 3365/786,3905/5240 is 5/15720
Least Common Multiple of 786,5240 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 786,5240 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(786,5240) = 262
common factors(in case of two or more numbers have common factors) = 1
GCF(786,5240) x common factors =262 x 1 = 262
LCM(786,5240) = ( 786 × 5240 ) / 262
LCM(786,5240) = 4118640 / 262
LCM(786,5240) = 15720
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FAQs on GCF of Fractions of 3365/786, 3905/5240
1. What is the HCF of 3365,3905?
The HCF of 3365,3905 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 3365/786, 3905/5240?
Answer: GCF of Numerators as per given numbers 3365/786, 3905/5240 is
GCF of Numerators i.e. for 3365,3905 is 5
LCM of denominators i.e. for 786,5240 is 15720.
Thus, GCF of Fractions is 5/15720.Finally, GCF of Fractions for 3365/786, 3905/5240 is 5/15720.