GCF of 7912/255, 1541/9899
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7912/255, 1541/9899 i.e 23/2524245 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7912/255, 1541/9899.
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 7912/255,1541/9899?
Given fractions are 7912/255,1541/9899
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 7912/255,1541/9899, numerators are 7912,1541
Denominators are 255,9899
The GCF of 7912,1541 is 23 .
LCM of 255,9899 is 2524245.
The greatest common factor of 7912/255,1541/9899 = [GCF of 7912,1541]/[LCM of 255,9899]= 23/2524245
Therefore, the GCF of 7912/255,1541/9899 is 23/2524245.
To find the highest common factor of 7912,1541, we have to find the factors of both numbers and list the highest common factor.
The factors of 7912 are 1, 2, 4, 8, 23, 43, 46, 86, 92, 172, 184, 344, 989, 1978, 3956, 7912
The factors of 1541 are 1, 23, 67, 1541
The HCF of 7912,1541 is 23.
Lets's calculate GCF of 7912,1541
| 23 | 7912, 1541 |
| 344, 67 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 7912,1541 By Matching Biggest Common Factor Method
Now, list down the factors of 7912
:1,2,4,8,23,43,46,86,92,172,184,344,989,1978,3956,7912
Now, list down the factors of 1541
:1,23,67,1541
Greatest Common Factor
We found the factors 7912,1541 . The biggest common factor number is the GCF number.
So the greatest common factor 7912,1541 is 23.
Lets's calculate LCM of 255,9899
Given numbers has no common factors except 1. So, there LCM is their product i.e 2524245
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/2524245
Therefore, the GCF of Fractions 7912/255,1541/9899 is 23/2524245
Least Common Multiple of 255,9899 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 255,9899 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(255,9899) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(255,9899) x common factors =1 x 1 = 1
LCM(255,9899) = ( 255 × 9899 ) / 1
LCM(255,9899) = 2524245 / 1
LCM(255,9899) = 2524245
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7912/255, 1541/9899
1. What is the HCF of 7912,1541?
The HCF of 7912,1541 is 23
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 7912/255, 1541/9899?
Answer: GCF of Numerators as per given numbers 7912/255, 1541/9899 is
GCF of Numerators i.e. for 7912,1541 is 23
LCM of denominators i.e. for 255,9899 is 2524245.
Thus, GCF of Fractions is 23/2524245.Finally, GCF of Fractions for 7912/255, 1541/9899 is 23/2524245.