GCF of 7881/507, 2078/9936
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7881/507, 2078/9936 i.e 1/1679184 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7881/507, 2078/9936.
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 7881/507,2078/9936?
Given fractions are 7881/507,2078/9936
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 7881/507,2078/9936, numerators are 7881,2078
Denominators are 507,9936
The GCF of 7881,2078 is 1 .
LCM of 507,9936 is 1679184.
The greatest common factor of 7881/507,2078/9936 = [GCF of 7881,2078]/[LCM of 507,9936]= 1/1679184
Therefore, the GCF of 7881/507,2078/9936 is 1/1679184.
To find the highest common factor of 7881,2078, we have to find the factors of both numbers and list the highest common factor.
The factors of 7881 are 1, 3, 37, 71, 111, 213, 2627, 7881
The factors of 2078 are 1, 2, 1039, 2078
The HCF of 7881,2078 is 1.
Lets's calculate GCF of 7881,2078
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7881,2078 By Matching Biggest Common Factor Method
Now, list down the factors of 7881
:1,3,37,71,111,213,2627,7881
Now, list down the factors of 2078
:1,2,1039,2078
Greatest Common Factor
We found the factors 7881,2078 . The biggest common factor number is the GCF number.
So the greatest common factor 7881,2078 is 1.
Lets's calculate LCM of 507,9936
| 3 | 507, 9936 |
| 169, 3312 |
∴ So the LCM of the given numbers is 3 x 169 x 3312 = 1679184
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1679184
Therefore, the GCF of Fractions 7881/507,2078/9936 is 1/1679184
Least Common Multiple of 507,9936 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 507,9936 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(507,9936) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(507,9936) x common factors =3 x 1 = 3
LCM(507,9936) = ( 507 × 9936 ) / 3
LCM(507,9936) = 5037552 / 3
LCM(507,9936) = 1679184
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FAQs on GCF of Fractions of 7881/507, 2078/9936
1. What is the HCF of 7881,2078?
The HCF of 7881,2078 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 7881/507, 2078/9936?
Answer: GCF of Numerators as per given numbers 7881/507, 2078/9936 is
GCF of Numerators i.e. for 7881,2078 is 1
LCM of denominators i.e. for 507,9936 is 1679184.
Thus, GCF of Fractions is 1/1679184.Finally, GCF of Fractions for 7881/507, 2078/9936 is 1/1679184.