GCF of 7982/447, 7904/7285
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7982/447, 7904/7285 i.e 26/3256395 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7982/447, 7904/7285.
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 7982/447,7904/7285?
Given fractions are 7982/447,7904/7285
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 7982/447,7904/7285, numerators are 7982,7904
Denominators are 447,7285
The GCF of 7982,7904 is 26 .
LCM of 447,7285 is 3256395.
The greatest common factor of 7982/447,7904/7285 = [GCF of 7982,7904]/[LCM of 447,7285]= 26/3256395
Therefore, the GCF of 7982/447,7904/7285 is 26/3256395.
To find the highest common factor of 7982,7904, we have to find the factors of both numbers and list the highest common factor.
The factors of 7982 are 1, 2, 13, 26, 307, 614, 3991, 7982
The factors of 7904 are 1, 2, 4, 8, 13, 16, 19, 26, 32, 38, 52, 76, 104, 152, 208, 247, 304, 416, 494, 608, 988, 1976, 3952, 7904
The HCF of 7982,7904 is 26.
Lets's calculate GCF of 7982,7904
| 2 | 7982, 7904 |
| 13 | 3991, 3952 |
| 307, 304 |
∴ So the GCF of the given numbers is 2 x 13 = 26
Greatest Common Factor of 7982,7904 By Matching Biggest Common Factor Method
Now, list down the factors of 7982
:1,2,13,26,307,614,3991,7982
Now, list down the factors of 7904
:1,2,4,8,13,16,19,26,32,38,52,76,104,152,208,247,304,416,494,608,988,1976,3952,7904
Greatest Common Factor
We found the factors 7982,7904 . The biggest common factor number is the GCF number.
So the greatest common factor 7982,7904 is 26.
Lets's calculate LCM of 447,7285
Given numbers has no common factors except 1. So, there LCM is their product i.e 3256395
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/3256395
Therefore, the GCF of Fractions 7982/447,7904/7285 is 26/3256395
Least Common Multiple of 447,7285 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 447,7285 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(447,7285) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(447,7285) x common factors =1 x 1 = 1
LCM(447,7285) = ( 447 × 7285 ) / 1
LCM(447,7285) = 3256395 / 1
LCM(447,7285) = 3256395
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7982/447, 7904/7285
1. What is the HCF of 7982,7904?
The HCF of 7982,7904 is 26
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 7982/447, 7904/7285?
Answer: GCF of Numerators as per given numbers 7982/447, 7904/7285 is
GCF of Numerators i.e. for 7982,7904 is 26
LCM of denominators i.e. for 447,7285 is 3256395.
Thus, GCF of Fractions is 26/3256395.Finally, GCF of Fractions for 7982/447, 7904/7285 is 26/3256395.