GCF of 3965/274, 7730/4850
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3965/274, 7730/4850 i.e 5/664450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3965/274, 7730/4850.
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 3965/274,7730/4850?
Given fractions are 3965/274,7730/4850
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 3965/274,7730/4850, numerators are 3965,7730
Denominators are 274,4850
The GCF of 3965,7730 is 5 .
LCM of 274,4850 is 664450.
The greatest common factor of 3965/274,7730/4850 = [GCF of 3965,7730]/[LCM of 274,4850]= 5/664450
Therefore, the GCF of 3965/274,7730/4850 is 5/664450.
To find the highest common factor of 3965,7730, we have to find the factors of both numbers and list the highest common factor.
The factors of 3965 are 1, 5, 13, 61, 65, 305, 793, 3965
The factors of 7730 are 1, 2, 5, 10, 773, 1546, 3865, 7730
The HCF of 3965,7730 is 5.
Lets's calculate GCF of 3965,7730
| 5 | 3965, 7730 |
| 793, 1546 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 3965,7730 By Matching Biggest Common Factor Method
Now, list down the factors of 3965
:1,5,13,61,65,305,793,3965
Now, list down the factors of 7730
:1,2,5,10,773,1546,3865,7730
Greatest Common Factor
We found the factors 3965,7730 . The biggest common factor number is the GCF number.
So the greatest common factor 3965,7730 is 5.
Lets's calculate LCM of 274,4850
| 2 | 274, 4850 |
| 137, 2425 |
∴ So the LCM of the given numbers is 2 x 137 x 2425 = 664450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/664450
Therefore, the GCF of Fractions 3965/274,7730/4850 is 5/664450
Least Common Multiple of 274,4850 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 274,4850 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(274,4850) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(274,4850) x common factors =2 x 1 = 2
LCM(274,4850) = ( 274 × 4850 ) / 2
LCM(274,4850) = 1328900 / 2
LCM(274,4850) = 664450
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FAQs on GCF of Fractions of 3965/274, 7730/4850
1. What is the HCF of 3965,7730?
The HCF of 3965,7730 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 3965/274, 7730/4850?
Answer: GCF of Numerators as per given numbers 3965/274, 7730/4850 is
GCF of Numerators i.e. for 3965,7730 is 5
LCM of denominators i.e. for 274,4850 is 664450.
Thus, GCF of Fractions is 5/664450.Finally, GCF of Fractions for 3965/274, 7730/4850 is 5/664450.