GCF of 3338/507, 2113/7776
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3338/507, 2113/7776 i.e 1/1314144 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3338/507, 2113/7776.
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 3338/507,2113/7776?
Given fractions are 3338/507,2113/7776
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 3338/507,2113/7776, numerators are 3338,2113
Denominators are 507,7776
The GCF of 3338,2113 is 1 .
LCM of 507,7776 is 1314144.
The greatest common factor of 3338/507,2113/7776 = [GCF of 3338,2113]/[LCM of 507,7776]= 1/1314144
Therefore, the GCF of 3338/507,2113/7776 is 1/1314144.
To find the highest common factor of 3338,2113, we have to find the factors of both numbers and list the highest common factor.
The factors of 3338 are 1, 2, 1669, 3338
The factors of 2113 are 1, 2113
The HCF of 3338,2113 is 1.
Lets's calculate GCF of 3338,2113
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3338,2113 By Matching Biggest Common Factor Method
Now, list down the factors of 3338
:1,2,1669,3338
Now, list down the factors of 2113
:1,2113
Greatest Common Factor
We found the factors 3338,2113 . The biggest common factor number is the GCF number.
So the greatest common factor 3338,2113 is 1.
Lets's calculate LCM of 507,7776
| 3 | 507, 7776 |
| 169, 2592 |
∴ So the LCM of the given numbers is 3 x 169 x 2592 = 1314144
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1314144
Therefore, the GCF of Fractions 3338/507,2113/7776 is 1/1314144
Least Common Multiple of 507,7776 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 507,7776 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(507,7776) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(507,7776) x common factors =3 x 1 = 3
LCM(507,7776) = ( 507 × 7776 ) / 3
LCM(507,7776) = 3942432 / 3
LCM(507,7776) = 1314144
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FAQs on GCF of Fractions of 3338/507, 2113/7776
1. What is the HCF of 3338,2113?
The HCF of 3338,2113 is 1
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 3338/507, 2113/7776?
Answer: GCF of Numerators as per given numbers 3338/507, 2113/7776 is
GCF of Numerators i.e. for 3338,2113 is 1
LCM of denominators i.e. for 507,7776 is 1314144.
Thus, GCF of Fractions is 1/1314144.Finally, GCF of Fractions for 3338/507, 2113/7776 is 1/1314144.