GCF of 7930/879, 9112/885
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7930/879, 9112/885 i.e 2/259305 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7930/879, 9112/885.
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 7930/879,9112/885?
Given fractions are 7930/879,9112/885
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 7930/879,9112/885, numerators are 7930,9112
Denominators are 879,885
The GCF of 7930,9112 is 2 .
LCM of 879,885 is 259305.
The greatest common factor of 7930/879,9112/885 = [GCF of 7930,9112]/[LCM of 879,885]= 2/259305
Therefore, the GCF of 7930/879,9112/885 is 2/259305.
To find the highest common factor of 7930,9112, we have to find the factors of both numbers and list the highest common factor.
The factors of 7930 are 1, 2, 5, 10, 13, 26, 61, 65, 122, 130, 305, 610, 793, 1586, 3965, 7930
The factors of 9112 are 1, 2, 4, 8, 17, 34, 67, 68, 134, 136, 268, 536, 1139, 2278, 4556, 9112
The HCF of 7930,9112 is 2.
Lets's calculate GCF of 7930,9112
| 2 | 7930, 9112 |
| 3965, 4556 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7930,9112 By Matching Biggest Common Factor Method
Now, list down the factors of 7930
:1,2,5,10,13,26,61,65,122,130,305,610,793,1586,3965,7930
Now, list down the factors of 9112
:1,2,4,8,17,34,67,68,134,136,268,536,1139,2278,4556,9112
Greatest Common Factor
We found the factors 7930,9112 . The biggest common factor number is the GCF number.
So the greatest common factor 7930,9112 is 2.
Lets's calculate LCM of 879,885
| 3 | 879, 885 |
| 293, 295 |
∴ So the LCM of the given numbers is 3 x 293 x 295 = 259305
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/259305
Therefore, the GCF of Fractions 7930/879,9112/885 is 2/259305
Least Common Multiple of 879,885 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 879,885 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(879,885) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(879,885) x common factors =3 x 1 = 3
LCM(879,885) = ( 879 × 885 ) / 3
LCM(879,885) = 777915 / 3
LCM(879,885) = 259305
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7930/879, 9112/885
1. What is the HCF of 7930,9112?
The HCF of 7930,9112 is 2
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 7930/879, 9112/885?
Answer: GCF of Numerators as per given numbers 7930/879, 9112/885 is
GCF of Numerators i.e. for 7930,9112 is 2
LCM of denominators i.e. for 879,885 is 259305.
Thus, GCF of Fractions is 2/259305.Finally, GCF of Fractions for 7930/879, 9112/885 is 2/259305.